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0707.2030
Jambul Gegelia
D. Djukanovic, J. Gegelia, S. Scherer
On the definition of the \Delta mass and width
3 pages, 1 figure, REVTeX 4
Phys.Rev.D76:037501,2007
10.1103/PhysRevD.76.037501
MKPH-T-07-08
hep-ph
null
In the framework of effective field theory we show that, at two-loop order, the mass and width of the \Delta resonance defined via the (relativistic) Breit-Wigner parametrization both depend on the choice of field variables. In contrast, the complex-valued position of the pole of the propagator is independent of this choice.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:17:46 GMT" } ]
2008-11-26T00:00:00
[ [ "Djukanovic", "D.", "" ], [ "Gegelia", "J.", "" ], [ "Scherer", "S.", "" ] ]
0707.2031
Christoph Freysoldt
Christoph Freysoldt, Patrick Rinke, and Matthias Scheffler
Ultrathin oxides: bulk-oxide-like model surfaces or unique films?
5 pages, 3 figures, accepted by PRL
Phys. Rev. Lett. 99, 086101 (2007)
10.1103/PhysRevLett.99.086101
null
cond-mat.mtrl-sci
null
To better understand the electronic and chemical properties of wide-gap oxide surfaces at the atomic scale, experimental work has focused on epitaxial films on metal substrates. Recent findings show that these films are considerably thinner than previously thought. This raises doubts about the transferability of the results to surface properties of thicker films and bulk crystals. By means of density-functional theory and approximate GW corrections for the electronic spectra we demonstrate for three characteristic wide-gap oxides (silica, alumina, and hafnia) the influence of the substrate and highlight critical differences between the ultrathin films and surfaces of bulk materials. Our results imply that monolayer-thin oxide films have rather unique properties.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:18:39 GMT" } ]
2007-08-21T00:00:00
[ [ "Freysoldt", "Christoph", "" ], [ "Rinke", "Patrick", "" ], [ "Scheffler", "Matthias", "" ] ]
0707.2032
Linnea Hjalmarsdotter
L. Hjalmarsdotter, A. A. Zdziarski, S. Larsson, V. Beckmann, M. McCollough, D. C. Hannikainen, O. Vilhu
The nature of the hard state of Cygnus X-3
14 pages, 13 figures, submitted to MNRAS
null
10.1111/j.1365-2966.2007.12688.x
null
astro-ph
null
The X-ray binary Cygnus X-3 is a highly variable X-ray source that displays a wide range of observed spectral states. One of the main states is significantly harder than the others, peaking at ~ 20 keV, with only a weak low-energy component. Due to the enigmatic nature of this object, hidden inside the strong stellar wind of its Wolf-Rayet companion, it has remained unclear whether this state represents an intrinsic hard state, with truncation of the inner disc, or whether it is just a result of increased local absorption. We study the X-ray light curves from RXTE/ASM and CGRO/BATSE in terms of distributions and correlations of flux and hardness and find several signs of a bimodal behaviour of the accretion flow that are not likely to be the result of increased absorption in a surrounding medium. Using INTEGRAL observations, we model the broad-band spectrum of Cyg X-3 in its apparent hard state. We find that it can be well described by a model of a hard state with a truncated disc, despite the low cut-off energy, if the accreted power is supplied to the electrons in the inner flow in the form of acceleration rather than thermal heating, resulting in a hybrid electron distribution and a spectrum with a significant contribution from non-thermal Comptonization, usually observed only in soft states. The high luminosity of this non-thermal hard state implies that either the transition takes place at significantly higher L/Ledd than in the usual advection models, or the mass of the compact object is > 20 Msun, possibly making it the most massive black hole observed in an X-ray binary in our Galaxy so far. We find that an absorption model as well as a model of almost pure Compton reflection also fit the data well, but both have difficulties explaining other results, in particular the radio/X-ray correlation.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:50:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Hjalmarsdotter", "L.", "" ], [ "Zdziarski", "A. A.", "" ], [ "Larsson", "S.", "" ], [ "Beckmann", "V.", "" ], [ "McCollough", "M.", "" ], [ "Hannikainen", "D. C.", "" ], [ "Vilhu", "O.", "" ] ]
0707.2033
Claus Falter
Thomas Bauer and Claus Falter
A microscopic modeling of phonon dynamics and charge response in NdCuO
A discussion is added of the relation of the pseudogap and the superdonducting gap. 2 new references
Phys. Rev. B 77, 144503 (2008)
10.1103/PhysRevB.77.144503
null
cond-mat.supr-con cond-mat.mtrl-sci
null
A description of phonon dynamics and charge response of the $n$-doped high-temperature superconductor (HTSC) NdCuO is presented based upon a microscopic modeling of the electronic density response. This is accomplished starting from the insulating state via the underdoped strange metallic to the more conventional metallic state by consecutive orbital selective incompressibility-compressibility transitions in terms of strict sum rules for the charge response. The approach proposed in this work for the $n$-doped HTSC's modifies the modeling recently applied to the $p$-doped compounds and expresses an electron-hole asymmetry introduced by doping. A qualitative physical picture consistent with our modeling of the electronic state in the cuprates is given in which a sufficiently broad set of orbital degrees of freedom, i.e. Cu3d/$4s$ and O$2p$ is essential. Within the framework of linear response theory we calculate full phonon dispersion curves in the different phases. In particular, the strongly doping dependent anomalous high-frequency oxygen bond-stretching modes (OBSM) found experimentally in the $p$-doped HTSC's and also recently for $n$-doped Nd$_{1.85}$Ce$_{0.15}$CuO$_{4}$ are investigated and compared with experimental results from inelastic neutron scattering and inelastic x-ray scattering, respectively. We calculate an anticrossing scenario for the OBSM in $n$-doped NdCuO which is absent in the case of $p$-doped LaCuO and relate it to the different crystal structure. Phonon-induced electronic charge redistributions of the anomalous OBSM due to nonlocal electron-phonon interaction effects of charge-fluctuation type giving reason to dynamic stripes are also studied.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 13:03:14 GMT" }, { "version": "v2", "created": "Thu, 24 Jan 2008 14:48:44 GMT" }, { "version": "v3", "created": "Thu, 3 Apr 2008 14:25:56 GMT" } ]
2009-11-13T00:00:00
[ [ "Bauer", "Thomas", "" ], [ "Falter", "Claus", "" ] ]
0707.2034
Damien Chablat
Damien Chablat (IRCCyN), Philippe Wenger (IRCCyN), Jorge Angeles (CIM)
Conception Isotropique D'Une Morphologie Parall\`Ele : Application \`a L'Usinage
null
3rd International Conference On Integrated Design and Manufacturing in Mechanical Engineering (05/2000) 1-10
null
null
cs.RO
null
The aim of this paper is the isotropic design of a hybrid morphology dedicated to 3-axis machining applications. It is necessary to ensure the feasibility of continuous, singularity-free trajectories, as well as a good manipulability in position and velocity. We want to propose an alternative design to conventional serial machine-tools. We compare a serial PPP machine-tool (three prismatic orthogonal axes) with a hybrid architecture which we optimize only the first two axes. The critrerion used for the optimization is the conditioning of the Jacobian matrices. The optimum, namely isotropy, can be obtained which provides our architecture with excellent manipulability properties.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:24:29 GMT" } ]
2007-07-16T00:00:00
[ [ "Chablat", "Damien", "", "IRCCyN" ], [ "Wenger", "Philippe", "", "IRCCyN" ], [ "Angeles", "Jorge", "", "CIM" ] ]
0707.2035
Khireddine Nouicer
Khireddine Nouicer
Effect of Minimal lengths on Electron Magnetism
14 pages, 1 figure
J. Phys. A: Math. Theor. 40 No 9 (2 March 2007) 2125-2135
10.1088/1751-8113/40/9/017
null
quant-ph
null
We study the magnetic properties of electron in a constant magnetic field and confined by a isotropic two dimensional harmonic oscillator on a space where the coordinates and momenta operators obey generalized commutation relations leading to the appearance of a minimal length. Using the momentum space representation we determine exactly the energy eigenvalues and eigenfunctions. We prove that the usual degeneracy of Landau levels is removed by the presence of the minimal length in the limits of weak and strong magnetic field.The thermodynamical properties of the system, at high temperature, are also investigated showing a new magnetic behavior in terms of the minimal length.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:25:28 GMT" } ]
2009-11-13T00:00:00
[ [ "Nouicer", "Khireddine", "" ] ]
0707.2036
Roberto Mignani
R.P. Mignani (UCL, MSSL), S. Zharikov (UNAM), P. A. Caraveo (IASF, INAF)
The Optical Spectrum of the Vela Pulsar
7 pages, 8 figures, accepted for publication in A&A
Astron.Astrophys.473:891-896,2007
10.1051/0004-6361:20077774
null
astro-ph
null
Our knowledge of the optical spectra of Isolated Neutron Stars (INSs) is limited by their intrinsic faintness. Among the fourteen optically identified INSs, medium resolution spectra have been obtained only for a handful of objects. No spectrum has been published yet for the Vela pulsar (PSR B0833-45), the third brightest (V=23.6) INS with an optical counterpart. Optical multi-band photometry underlines a flat continuum.In this work we present the first optical spectroscopy observations of the Vela pulsar, performed in the 4000-11000 A spectral range.Our observations have been performed at the ESO VLT using the FORS2 instrument. The spectrum of the Vela pulsar is characterized by a flat power-law (alpha = -0.04 +/- 0.04), which compares well with the values obtained from broad-band photometry. This confirms, once more, that the optical emission of Vela is entirely of magnetospheric origin. The comparison between the optical spectral indeces of rotation-powered INSs does not show evidence for a spectral evolution suggesting that, as in the X-rays, the INS aging does not affect the spectral properties of the magnetospheric emission. At the same time, the optical spectral indeces are found to be nearly always flatter then the X-rays ones, clearly suggesting a general spectral turnover at lower energies.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:26:24 GMT" } ]
2011-03-28T00:00:00
[ [ "Mignani", "R. P.", "", "UCL, MSSL" ], [ "Zharikov", "S.", "", "UNAM" ], [ "Caraveo", "P. A.", "", "IASF,\n INAF" ] ]
0707.2037
Dorothea Pinotsi
D. Pinotsi and A. Imamoglu
Single photon absorption by a single quantum emitter
4 pages, 4 figures
Phys. Rev. Lett. 100, 9, 093603 (2008)
10.1103/PhysRevLett.100.093603
null
quant-ph
null
We show that a three-level lambda quantum emitter with equal spontaneous emission rates on both optically active transitions can absorb an incident light field with a probability approaching unity, provided that the focused light profile matches that of the emitter dipole emission pattern. Even with realistic focusing geometries, our results could find applications in long-distance entanglement of spin qubits.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:26:54 GMT" }, { "version": "v2", "created": "Thu, 27 Sep 2007 10:13:10 GMT" }, { "version": "v3", "created": "Mon, 21 Jan 2008 10:05:21 GMT" } ]
2009-11-13T00:00:00
[ [ "Pinotsi", "D.", "" ], [ "Imamoglu", "A.", "" ] ]
0707.2038
Aurelien Dantan
Aurelien Dantan (University of Aarhus), Claudiu Genes (Universita Di Camerino), David Vitali (Universita Di Camerino), Michel Pinard (LKB - Jussieu)
Self-cooling of a movable mirror to the ground state using radiation pressure
4 pages, 3 figures
Phys. Rev. A 77, 011804 (2008)
10.1103/PhysRevA.77.011804
null
quant-ph
null
We show that one can cool a micro-mechanical oscillator to its quantum ground state using radiation pressure in an appropriately detuned cavity (self-cooling). From a simple theory based on Heisenberg-Langevin equations we find that optimal self-cooling occurs in the good cavity regime, when the cavity bandwidth is smaller than the mechanical frequency, but still larger than the effective mechanical damping. In this case the intracavity field and the vibrational mechanical mode coherently exchange their fluctuations. We also present dynamical calculations which show how to access the mirror final temperature from the fluctuations of the field reflected by the cavity.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:28:11 GMT" } ]
2012-02-08T00:00:00
[ [ "Dantan", "Aurelien", "", "University of Aarhus" ], [ "Genes", "Claudiu", "", "Universita Di\n Camerino" ], [ "Vitali", "David", "", "Universita Di Camerino" ], [ "Pinard", "Michel", "", "LKB -\n Jussieu" ] ]
0707.2039
Yves Stalder
Yves De Cornulier (IRMAR), Yves Stalder, Alain Valette (UNINE)
Proper actions of lamplighter groups associated with free groups
6 pages. The part on Hilbert space compression from the first version of this paper, will be incorporated into a more elaborate paper on the subject
null
null
null
math.GR
null
Given a finite group $H$ and a free group $F_n$, we prove that the wreath product $H\wr F_n$ admits a metrically proper, isometric action on a Hilbert space.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:29:21 GMT" }, { "version": "v2", "created": "Sat, 10 Nov 2007 07:03:36 GMT" } ]
2007-11-10T00:00:00
[ [ "De Cornulier", "Yves", "", "IRMAR" ], [ "Stalder", "Yves", "", "UNINE" ], [ "Valette", "Alain", "", "UNINE" ] ]
0707.2040
A. H. Rezaeian
A. H. Rezaeian, B. Z. Kopeliovich, H. J. Pirner, Ivan Schmidt
Direct photons at LHC
2 pages, 2 figures. Contributed to Workshop on Heavy Ion Collisions at the LHC: Last Call for Predictions, Geneva, Switzerland, 14 May - 8 Jun 2007
null
null
USM-TH-215
hep-ph
null
The DGLAP improved color dipole approach provides a good description of data for inclusive direct photon spectra at the energies of RHIC and Tevatron. Within the same framework we predict the transverse momentum distribution of direct photons at the CERN LHC energies.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:33:18 GMT" } ]
2007-07-16T00:00:00
[ [ "Rezaeian", "A. H.", "" ], [ "Kopeliovich", "B. Z.", "" ], [ "Pirner", "H. J.", "" ], [ "Schmidt", "Ivan", "" ] ]
0707.2041
Konstantin Pankrashkin
Konstantin Pankrashkin
Localization in a quasiperiodic model on quantum graphs
9 pages, written for proceedings of the AGA program at Newton Institute; To appear in Proc. Symp. Pure Math. (2008)
In the book P. Exner et al. (Eds): Analysis on Graphs and its Applications (Proc. Symp. Pure Math., vol. 77, AMS, 2008), pp. 459-467
null
null
math-ph math.MP
null
We show the presence of a dense pure point spectrum on quantum graphs with Maryland-type quasiperiodic Kirchhoff coupling constants at the vertices.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:44:08 GMT" } ]
2008-09-12T00:00:00
[ [ "Pankrashkin", "Konstantin", "" ] ]
0707.2042
Damien Chablat
Florence Bidault (IRCCyN), Damien Chablat (IRCCyN), Patrick Chedmail (IRCCyN), Laurent Pino (IRCCyN)
A distributed Approach for Access and Visibility Task under Ergonomic Constraints with a Manikin in a Virtual Reality Environment
null
Proceeding of the 10th IEEE International Workshop on Robot and Human Communication (09/2001) 1-6
null
null
cs.RO
null
This paper presents a new method, based on a multi-agent system and on digital mock-up technology, to assess an efficient path planner for a manikin for access and visibility task under ergonomic constraints. In order to solve this problem, the human operator is integrated in the process optimization to contribute to a global perception of the environment. This operator cooperates, in real-time, with several automatic local elementary agents. The result of this work validates solutions brought by digital mock-up and that can be applied to simulate maintenance task.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:34:22 GMT" } ]
2007-07-16T00:00:00
[ [ "Bidault", "Florence", "", "IRCCyN" ], [ "Chablat", "Damien", "", "IRCCyN" ], [ "Chedmail", "Patrick", "", "IRCCyN" ], [ "Pino", "Laurent", "", "IRCCyN" ] ]
0707.2043
Khireddine Nouicer
Khireddine Nouicer
Coulomb potential in one dimension with minimal length: A path integral approach
null
J. Math. Phys 48, 112104 (2007)
10.1063/1.2809267
null
quant-ph
null
We solve the path integral in momentum space for a particle in the field of the Coulomb potential in one dimension in the framework of quantum mechanics with the minimal length given by $(\Delta X)_{0}=\hbar \sqrt{\beta}$, where $\beta$ is a small positive parameter. From the spectral decomposition of the fixed energy transition amplitude we obtain the exact energy eigenvalues and momentum space eigenfunctions.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:34:44 GMT" }, { "version": "v2", "created": "Fri, 23 Nov 2007 09:54:38 GMT" } ]
2011-11-10T00:00:00
[ [ "Nouicer", "Khireddine", "" ] ]
0707.2044
Dmitry Nuzhnyy
S.Kamba, D.Nuzhnyy, S.Veljko, V.Bovtun, J.Petzelt, Y.L.Wang, J.Levoska, M.Tyunina, J.Macutkevic, N.Setter, J.Banys
Dielectric relaxation and polar phonon softening in relaxor ferroelectric PbMg_(1/3)Ta_(2/3)O_3
subm. to J. Appl. Phys
null
10.1063/1.2784972
null
cond-mat.mtrl-sci
null
Relaxor ferroelectric PbMg_1/3Ta_2/3O_3 ceramics and thin films were investigated by means of broad-band dielectric, time-domain terahertz (THz) and Fourier-transform infrared (IR) spectroscopy in the frequency range 100 Hz - 90 THz at temperatures 100 - 490 K, the THz and IR spectra were studied from 20 to 900K. Diffused and strongly temperature dependent peak in the complex permittivity is caused by a dielectric relaxation due to the dynamics of polar clusters. The relaxation appears below Burns temperature T_d in the THz range, slows down on cooling through the microwave and MHz range and anomalously broadens. The shortest and longest relaxation times of the distribution of relaxation times follow Arrhenius and Vogel-Fulcher law, respectively. The degree of B-site order has only a small influence on the parameters of the dielectric relaxation and almost no influence on the phonon parameters. Below T_m ~ 180K, the distribution of relaxation frequencies becomes broader than our experimental spectral range and frequency independent dielectric losses develop below 100 GHz in the spectra. Although the macroscopic crystal structure is cubic, IR spectra give evidence about the lower local symmetry which can be assigned to the presence of polar clusters below T_d. Infrared spectra above T_d still reveal more modes than predicted by selection rules in the paraelectric phase of the Fm-3m space group so that we suggest selection rules which take into account chemical inhomogeneity in the beta''-perovskite sublattice.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:34:48 GMT" } ]
2009-11-13T00:00:00
[ [ "Kamba", "S.", "" ], [ "Nuzhnyy", "D.", "" ], [ "Veljko", "S.", "" ], [ "Bovtun", "V.", "" ], [ "Petzelt", "J.", "" ], [ "Wang", "Y. L.", "" ], [ "Levoska", "J.", "" ], [ "Tyunina", "M.", "" ], [ "Macutkevic", "J.", "" ], [ "Setter", "N.", "" ], [ "Banys", "J.", "" ] ]
0707.2045
Bipin singh Koranga
Bipin Singh Koranga (Indian Inst. Tech., Mumbai)
Neutrino mixings and magnetic moments due to Planck scale effects
9 pages
Electron.J.Theor.Phys.5:133-140,2008
null
null
hep-ph
null
In this paper, we consider the effect of Planck scale operators on neutrino magnetic moments. We assume that the main part of neutrino masses and mixings arise through GUT scale operators. We further assume that additional discrete symmetries make the neutrino mixing bi-maximal. Quantum gravitational (Planck scale) effects lead to an effective $SU(2)_{L}\times U(1)$ invariant dimension-5 Lagrangian involving neutrino and Higgs fields, which gives rise to additional terms in neutrino mass matrix. These additional terms can be considered to be perturbation of the GUT scale bi-maximal neutrino mass matrix. We assume that the gravitational interaction is flavour blind and we study the neutrino mixings and magnetic moments due to the physics above the GUT scale.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:34:58 GMT" } ]
2009-02-18T00:00:00
[ [ "Koranga", "Bipin Singh", "", "Indian Inst. Tech., Mumbai" ] ]
0707.2046
Javier Virto
Javier Virto (Barcelona, IFAE)
Evading 1/m_b-suppressed IR divergencies in QCDF: Bs-->KK Decays and B_{d,s} mixing
5 pages. Talk given at the International Workshop on Quantum Chromodynamics: QCD@Work 2007, Martina Franca, Italy, June 2007
AIP Conf.Proc.964:90-94,2007
10.1063/1.2823886
UAB-FT-641
hep-ph
null
We analyze the deviations of the mixing induced CP asymmetry in B-->phi Ks from sin(2beta), as well as the deviations of the asymmetries in Bs-->K*K*, Bs-->phi K* and Bs-->phi phi from sin(2beta_s), that arise in SM due to penguin pollution. We use a theoretical input which is short-distance dominated in QCD-factorization and thus free of IR-divergencies. We also provide alternative ways to extract angles of the unitarity triangle from penguin-mediated decays, and give predictions for Bs-->K*K* observables.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 16:01:16 GMT" } ]
2011-03-23T00:00:00
[ [ "Virto", "Javier", "", "Barcelona, IFAE" ] ]
0707.2047
Maria Barbi
Aurelien Bancaud, Natalia Conde e Silva, Maria Barbi, Gaudeline Wagner, Jean-Francois Allemand, Julien Mozziconacci, Christophe Lavelle, Vincent Croquette, Jean-Marc Victor, Ariel Prunell and Jean-Louis Viovy
Structural plasticity of single chromatin fibers revealed by torsional manipulation
18 pages, 7 figures, Supplementary information available at http://www.nature.com/nsmb/journal/v13/n5/suppinfo/nsmb1087_S1.html
Nature Structural and Molecular Biology 13, 444-450, 2006
10.1038/nsmb1087
null
q-bio.BM physics.bio-ph q-bio.SC
null
Magnetic tweezers are used to study the mechanical response under torsion of single nucleosome arrays reconstituted on tandem repeats of 5S positioning sequences. Regular arrays are extremely resilient and can reversibly accommodate a large amount of supercoiling without much change in length. This behavior is quantitatively described by a molecular model of the chromatin 3-D architecture. In this model, we assume the existence of a dynamic equilibrium between three conformations of the nucleosome, which are determined by the crossing status of the entry/exit DNAs (positive, null or negative). Torsional strain, in displacing that equilibrium, extensively reorganizes the fiber architecture. The model explains a number of long-standing topological questions regarding DNA in chromatin, and may provide the ground to better understand the dynamic binding of most chromatin-associated proteins.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:56:45 GMT" } ]
2007-08-01T00:00:00
[ [ "Bancaud", "Aurelien", "" ], [ "Silva", "Natalia Conde e", "" ], [ "Barbi", "Maria", "" ], [ "Wagner", "Gaudeline", "" ], [ "Allemand", "Jean-Francois", "" ], [ "Mozziconacci", "Julien", "" ], [ "Lavelle", "Christophe", "" ], [ "Croquette", "Vincent", "" ], [ "Victor", "Jean-Marc", "" ], [ "Prunell", "Ariel", "" ], [ "Viovy", "Jean-Louis", "" ] ]
0707.2048
Rossen Ivanov
Adrian Constantin, Vladimir S. Gerdjikov and Rossen I.Ivanov
Generalised Fourier transform for the Camassa-Holm hierarchy
LaTeX, 40 pages, 1 Figure
Inverse Problems, vol. 23 (2007) 1565-1597
10.1088/0266-5611/23/4/012
null
nlin.SI
null
The squared eigenfunctions of the spectral problem associated to the Camassa-Holm equation represent a complete basis of functions, which helps to describe the Inverse Scattering Transform for the Camassa-Holm hierarchy as a Generalised Fourier transform. The main result of this work is the derivation of the completeness relation for the squared solutions of the Camassa-Holm spectral problem. We show that all the fundamental properties of the Camassa-Holm equation such as the integrals of motion, the description of the equations of the whole hierarchy and their Hamiltonian structures can be naturally expressed making use of the completeness relation and the recursion operator, whose eigenfunctions are the squared solutions.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:59:42 GMT" } ]
2007-07-16T00:00:00
[ [ "Constantin", "Adrian", "" ], [ "Gerdjikov", "Vladimir S.", "" ], [ "Ivanov", "Rossen I.", "" ] ]
0707.2049
Roberto Soria
Robert Soria (MSSL/Ucl)
Bridging the gap between stellar-mass black holes and ultraluminous X-ray sources
11 pages, accepted for publication in Astrophysics and Space Science. Based on work presented at the Fifth Stromlo Symposium, Australian National University, Dec 2006
Astrophys.Space Sci.311:213-222,2007
10.1007/s10509-007-9599-0
null
astro-ph
null
The X-ray spectral and timing properties of ultraluminous X-ray sources (ULXs) have many similarities with the very high state of stellar-mass black holes (power-law dominated, at accretion rates greater than the Eddington rate). On the other hand, their cool disk components, large characteristic inner-disk radii and low characteristic timescales have been interpreted as evidence of black hole masses ~ 1000 Msun (intermediate-mass black holes). Here we re-examine the physical interpretation of the cool disk model, in the context of accretion states of stellar-mass black holes. In particular, XTE J1550-564 can be considered the missing link between ULXs and stellar-mass black holes, because it exhibits a high-accretion-rate, low-disk-temperature state (ultraluminous branch). On the ultraluminous branch, the accretion rate is positively correlated with the disk truncation radius and the bolometric disk luminosity, while it is anti-correlated with the peak temperature and the frequency of quasi-periodic-oscillations. Two prototypical ULXs (NGC1313 X-1 and X-2) also seem to move along that branch. We use a phenomenological model to show how the different range of spectral and timing parameters found in the two classes of accreting black holes depends on both their masses and accretion rates. We suggest that ULXs are consistent with black hole masses ~ 50-100 Msun, moderately inefficiently accreting at ~20 times Eddington.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 16:05:55 GMT" } ]
2009-06-23T00:00:00
[ [ "Soria", "Robert", "", "MSSL/Ucl" ] ]
0707.2050
Elizabeth Baldwin
Elizabeth Baldwin
A GIT Construction of Moduli Spaces of Stable Maps in Positive Characteristic
20 pages; the main theorem is now proved over a more general base
Journal of the London Mathematical Society 2008 78(1): 107-124
10.1112/jlms/jdn014
null
math.AG
null
In a previous paper, the author and David Swinarski constructed the moduli spaces of stable maps, \bar M_g,n(P^r,d), via geometric invariant theory (GIT). That paper required the base field to be the complex numbers, a restriction which this paper removes: here the coarse moduli spaces of stable maps are constructed via GIT over a more general base.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 16:19:41 GMT" }, { "version": "v2", "created": "Mon, 27 Aug 2007 15:53:05 GMT" } ]
2008-10-18T00:00:00
[ [ "Baldwin", "Elizabeth", "" ] ]
0707.2051
Saikat Guha
Saikat Guha, Tad Hogg, David Fattal, Timothy Spiller, Raymond G. Beausoleil
Quantum Auctions using Adiabatic Evolution: The Corrupt Auctioneer and Circuit Implementations
26 pages, 10 figures, accepted for publication by International Journal of Quantum Information (IJQI)
Int. J. of Quantum Information, Vol. 6, No. 4, August 2008
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We examine a proposed auction using quantum states to represent bids and distributed adiabatic search to find the winner. When the auctioneer follows the protocol, the final measurement giving the outcome of the auction also destroys the bid states, thereby preserving privacy of losing bidders. We describe how a dishonest auctioneer could alter the protocol to violate this privacy guarantee, and present methods by which bidders can counter such attacks. We also suggest possible quantum circuit implementations of the auctions protocol, and quantum circuits to perpetrate and to counter attacks by a dishonest auctioneer.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 16:24:56 GMT" }, { "version": "v2", "created": "Mon, 14 Jul 2008 16:45:46 GMT" } ]
2008-09-09T00:00:00
[ [ "Guha", "Saikat", "" ], [ "Hogg", "Tad", "" ], [ "Fattal", "David", "" ], [ "Spiller", "Timothy", "" ], [ "Beausoleil", "Raymond G.", "" ] ]
0707.2052
Andrei Caldararu
Andrei Caldararu and Simon Willerton
The Mukai pairing, I: a categorical approach
39 pages, millions of figures; supersedes math.AG/0308079; complete rewriting in new categorical context
New York Journal of Mathematics 16 (2010) 61-98
null
null
math.AG math.AT math.CT math.KT
null
We study the Hochschild homology of smooth spaces, emphasizing the importance of a pairing which generalizes Mukai's pairing on the cohomology of K3 surfaces. We show that integral transforms between derived categories of spaces induce, functorially, linear maps on homology. Adjoint functors induce adjoint linear maps with respect to the Mukai pairing. We define a Chern character with values in Hochschild homology, and we discuss analogues of the Hirzebruch-Riemann-Roch theorem and the Cardy Condition from physics. This is done in the context of a 2-category which has spaces as its objects and integral kernels as its 1-morphisms.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 16:31:25 GMT" } ]
2010-05-25T00:00:00
[ [ "Caldararu", "Andrei", "" ], [ "Willerton", "Simon", "" ] ]
0707.2053
Xinyu Dai
Xinyu Dai (1), Smita Mathur (1), George Chartas (2), Sunita Nair (3), Gordon P. Garmire (2) ((1) Ohio State Univ., (2) Penn. State Univ., (3) Raman Research Institute)
Variable X-ray Absorption toward Gravitationally-Lensed Blazar PKS1830-211
15 pages, 4 figures, Accepted to AJ
Astron.J.135:333-337,2008
10.1088/0004-6256/135/1/333
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present X-ray spectral analysis of five Chandra and XMM-Newton observations of the gravitationally-lensed blazar PKS1830-211 from 2000 to 2004. We show that the X-ray absorption toward PKS1830-211 is variable, and the variable absorption is most likely to be intrinsic with amplitudes of about 2-30e22 cm^-2 depending on whether or not the absorber is partially covering the X-ray source. Our results confirm the variable absorption observed previously, although interpreted differently, in a sequence of ASCA observations. This large variation in the absorption column density can be interpreted as outflows from the central engine in the polar direction, consistent with recent numerical models of inflow/outflows in AGNs. In addition, it could possibly be caused by the interaction between the blazar jet and its environment, or the variation from the geometric configuration of the jet. While the spectra can also be fitted with a variable absorption at the lens redshift, we show that this model is unlikely. We also rule out the simple microlensing interpretation of variability which was previously suggested.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 16:33:00 GMT" }, { "version": "v2", "created": "Thu, 19 Feb 2009 01:53:03 GMT" } ]
2009-06-23T00:00:00
[ [ "Dai", "Xinyu", "" ], [ "Mathur", "Smita", "" ], [ "Chartas", "George", "" ], [ "Nair", "Sunita", "" ], [ "Garmire", "Gordon P.", "" ] ]
0707.2054
Sandor Kovacs
Stefan Kebekus and Sandor J. Kovacs
The structure of surfaces mapping to the moduli stack of canonically polarized varieties
19 pages
null
null
null
math.AG
null
Generalizing the well-known Shafarevich hyperbolicity conjecture, it has been conjectured by Viehweg that a quasi-projective manifold that admits a generically finite morphism to the moduli stack of canonically polarized varieties is necessarily of log general type. Given a quasi-projective surface that maps to the moduli stack, we employ extension properties of logarithmic pluri-forms to establish a strong relationship between the moduli map and the minimal model program of the surface. As a result, we can describe the fibration induced by the moduli map quite explicitly. A refined affirmative answer to Viehweg's conjecture for families over surfaces follows as a corollary.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 16:48:25 GMT" } ]
2007-07-16T00:00:00
[ [ "Kebekus", "Stefan", "" ], [ "Kovacs", "Sandor J.", "" ] ]
0707.2055
Philip Kaaret
Philip Kaaret and Hua Feng
Confirmation of the 62 Day X-Ray Periodicity from M82
4 pages, to appear in ApJ
null
10.1086/521598
null
astro-ph
null
Using 400 days of new X-ray monitoring of M82, we confirm the 62 day periodicity previously reported. In the full data set spanning 1124 days, we find a period of 62.0 +/- 0.3 days and a coherence, Q = 22.3, that is consistent with a strictly periodic signal. We estimate that the probability of chance occurrence of our observed signal is 6E-7. The light curve folded at this period is roughly sinusoidal and has a peak to peak amplitude of (0.99 +/- 0.10) x 10^-11 erg cm^-2 s^-1. Confirmation of the periodicity strengthens our previous suggestion that the 62 day modulation is due to orbital motion within an X-ray binary.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 16:46:49 GMT" } ]
2009-11-13T00:00:00
[ [ "Kaaret", "Philip", "" ], [ "Feng", "Hua", "" ] ]
0707.2056
Annamaria Montanari
Vittorio Martino and Annamaria Montanari
Integral formulas for a class of curvature PDE's and applications to isoperimetric inequalities and to symmetry problems
null
null
null
null
math.AP math.CV
null
We prove integral formulas for closed hypersurfaces in C^{n+1}, which furnish a relation between elementary symmetric functions in the eigenvalues of the complex Hessian matrix of the defining function and the Levi curvatures of the hypersurface. Then we follow the Reilly approach to prove an isoperimetric inequality. As an application, we obtain the ``Soap Bubble Theorem'' for star-shaped domains with positive and constant Levi curvatures bounding the classical mean curvature from above.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 16:52:38 GMT" } ]
2007-07-16T00:00:00
[ [ "Martino", "Vittorio", "" ], [ "Montanari", "Annamaria", "" ] ]
0707.2057
Jason Schweinsberg
Rick Durrett, Deena Schmidt, Jason Schweinsberg
A waiting time problem arising from the study of multi-stage carcinogenesis
Published in at http://dx.doi.org/10.1214/08-AAP559 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Applied Probability 2009, Vol. 19, No. 2, 676-718
10.1214/08-AAP559
IMS-AAP-AAP559
math.PR q-bio.TO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the population genetics problem: how long does it take before some member of the population has $m$ specified mutations? The case $m=2$ is relevant to onset of cancer due to the inactivation of both copies of a tumor suppressor gene. Models for larger $m$ are needed for colon cancer and other diseases where a sequence of mutations leads to cells with uncontrolled growth.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 17:36:44 GMT" }, { "version": "v2", "created": "Sat, 5 Apr 2008 01:51:44 GMT" }, { "version": "v3", "created": "Tue, 23 Jun 2009 12:00:24 GMT" } ]
2010-05-20T00:00:00
[ [ "Durrett", "Rick", "" ], [ "Schmidt", "Deena", "" ], [ "Schweinsberg", "Jason", "" ] ]
0707.2058
Maximilian Rogge
M. C. Rogge, R. J. Haug
Two path transport measurements on a triple quantum dot
4 pages, 4 figures
Phys. Rev. B 77, 193306 (2008)
10.1103/PhysRevB.77.193306
null
cond-mat.mes-hall
null
We present an advanced lateral triple quantum dot made by local anodic oxidation. Three dots are coupled in a starlike geometry with one lead attached to each dot thus allowing for multiple path transport measurements with two dots per path. In addition charge detection is implemented using a quantum point contact. Both in charge measurements as well as in transport we observe clear signatures of states from each dot. Resonances of two dots can be established allowing for serial transport via the corresponding path. Quadruple points with all three dots in resonance are prepared for different electron numbers and analyzed concerning the interplay of the simultaneously measured transport along both paths.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 17:40:49 GMT" }, { "version": "v2", "created": "Sat, 14 Jul 2007 13:01:47 GMT" }, { "version": "v3", "created": "Mon, 23 Jul 2007 12:17:58 GMT" } ]
2008-06-02T00:00:00
[ [ "Rogge", "M. C.", "" ], [ "Haug", "R. J.", "" ] ]
0707.2059
John H. Wise
John H. Wise (KIPAC/Stanford, NASA/GSFC), Tom Abel (KIPAC/Stanford)
Suppression of H_2 Cooling in the Ultraviolet Background
Added comparison with O'Shea & Norman (2007)
ApJ (2007), vol. 671, 1559
10.1086/522876
null
astro-ph
null
The first luminous objects in the concordance cosmology form by molecular hydrogen cooling in dark matter dominated halos of masses ~10^6 M_sun. We use Eulerian adaptive mesh refinement simulations to demonstrate that in the presence of a large soft ultraviolet radiation background, molecular hydrogen is the dominant coolant. Even for very large radiation backgrounds, the halo masses that cool and collapse are up to two orders of magnitude smaller than the halos that cool via atomic hydrogen line cooling. The abundance of cooling halos and the cosmic mass fraction contained within them depends exponentially on this critical mass scale. Consequently, the majority of current models of cosmological reionization, chemical evolution, supermassive black hole formation, and galaxy formation underestimate the number of star forming progenitors of a given system by orders of magnitude. At the highest redshifts, this disagreement is largest. We also show that even in the absence of residual electrons, collisional ionization in central shocks create a sufficient amount of electrons to form molecular hydrogen and cool the gas in halos of virial temperatures far below the atomic cooling limit.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 18:04:26 GMT" }, { "version": "v2", "created": "Thu, 23 Aug 2007 19:23:00 GMT" } ]
2009-11-13T00:00:00
[ [ "Wise", "John H.", "", "KIPAC/Stanford, NASA/GSFC" ], [ "Abel", "Tom", "", "KIPAC/Stanford" ] ]
0707.2060
Wenfeng Chen WFC
W. F. Chen, R. Kobes and G. Kunstatter
Decoherence of a Single Qubit from Quantum Anomaly
8 pages, no figures, RevTex 4. We have shortened the paper and corrected some misprints
null
null
null
quant-ph hep-th
null
We show via an explicit example that quantum anomalies can lead to decoherence of a single quantum qubit through phase relaxation. The anomaly causes the Hamiltonian to develop a non-self-adjoint piece due to the non-invariance of the domain of the Hamiltonian under symmetry transformation. The resulting decoherence originates completely from the dynamics of the system itself and not, as usually considered, from interactions with the environment.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 17:49:05 GMT" }, { "version": "v2", "created": "Tue, 11 Sep 2007 15:17:23 GMT" }, { "version": "v3", "created": "Fri, 21 Sep 2007 16:24:44 GMT" } ]
2011-11-10T00:00:00
[ [ "Chen", "W. F.", "" ], [ "Kobes", "R.", "" ], [ "Kunstatter", "G.", "" ] ]
0707.2061
Oleg P. Sushkov
Oleg P. Sushkov, Valeri N. Kotov
AC Hopping Magnetotransport Across the Spin Flop Transition in Lightly Doped La_2CuO_4
4 pages, 1 figure
Physical Review B 77, 054506 (2008)
10.1103/PhysRevB.77.054506
null
cond-mat.str-el cond-mat.dis-nn
null
The weak ferromagnetism present in insulating La_{2}CuO_4 at low doping leads to a spin flop transition, and to transverse (interplane) hopping of holes in a strong external magnetic field. This results in a dimensional crossover 2D $\to$ 3D for the in-plane transport, which in turn leads to an increase of the hole's localization length and increased conduction. We demonstrate theoretically that as a consequence of this mechanism, a frequency-dependent jump of the in-plane ac hopping conductivity occurs at the spin flop transition. We predict the value and the frequency dependence of the jump. Experimental studies of this effect would provide important confirmation of the emerging understanding of lightly doped insulating La_{2-x}Sr_xCuO_4.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 17:56:55 GMT" } ]
2008-02-27T00:00:00
[ [ "Sushkov", "Oleg P.", "" ], [ "Kotov", "Valeri N.", "" ] ]
0707.2062
Marcus Copetti
M.V.F. Copetti, V.A. Oliveira, R. Riffel, H.O. Casta\~neda, D. Sanmartim
A study of the neglected Galactic HII region NGC 2579 and its companion ESO 370-9
To be published in Astronomy & Astrophysics
null
10.1051/0004-6361:20077890
null
astro-ph
null
The Galactic HII region NGC 2579 has stayed undeservedly unexplored due to identification problems which persisted until recently. Both NGC 2579 and its companion ESO 370-9 have been misclassified as planetary or reflection nebula, confused with each other and with other objects. Due to its high surface brightness, high excitation, angular size of few arcminutes and relatively low interstellar extinction, NGC 2579 is an ideal object for investigations in the optical range. Located in the outer Galaxy, NGC 2579 is an excellent object for studying the Galactic chemical abundance gradients. In this paper we present the first comprehensive observational study on the nebular and stellar properties of NGC 2579 and ESO 370-9, including the determination of electron temperature, density structure, chemical composition, kinematics, distance, and the identification and spectral classification of the ionizing stars, and discuss the nature of ESO 370-9. Long slit spectrophotometric data in the optical range were used to derive the nebular electron temperature, density and chemical abundances and for the spectral classification of the ionizing star candidates. Halpha and UBV CCD photometry was carried out to derive stellar distances from spectroscopic parallax and to measure the ionizing photon flux.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 17:58:15 GMT" } ]
2009-11-13T00:00:00
[ [ "Copetti", "M. V. F.", "" ], [ "Oliveira", "V. A.", "" ], [ "Riffel", "R.", "" ], [ "Castañeda", "H. O.", "" ], [ "Sanmartim", "D.", "" ] ]
0707.2063
Joerg Jaeckel
Joerg Jaeckel and Andreas Ringwald
A Cavity Experiment to Search for Hidden Sector Photons
11 pages, 5 figures
Phys.Lett.B659:509-514,2008
10.1016/j.physletb.2007.11.071
IPPP/07/38; DCPT/07/76; DESY 07-099
hep-ph hep-ex hep-th
null
We propose a cavity experiment to search for low mass extra U(1) gauge bosons with gauge-kinetic mixing with the ordinary photon, so-called paraphotons. The setup consists of two microwave cavities shielded from each other. In one cavity, paraphotons are produced via photon-paraphoton oscillations. The second, resonant, cavity is then driven by the paraphotons that permeate the shielding and reconvert into photons. This setup resembles the classic ``light shining through a wall'' setup. However, the high quality factors achievable for microwave cavities and the good sensitivity of microwave detectors allow for a projected sensitivity for photon-paraphoton mixing of the order of \chi~10^{-12} to 10^{-8}, for paraphotons with masses in the \mu eV to meV range -- exceeding the current laboratory- and astrophysics-based limits by several orders of magnitude. Therefore, this experiment bears significant discovery potential for hidden sector physics.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 18:22:21 GMT" } ]
2008-11-26T00:00:00
[ [ "Jaeckel", "Joerg", "" ], [ "Ringwald", "Andreas", "" ] ]
0707.2064
Peter Allen
Peter R. Allen
Star Formation via the Little Guy: A Bayesian Study of Ultracool Dwarf Imaging Surveys for Companions
42 pages, 17 figures, to be published in October 2007 ApJ
Astrophys.J.668:492-506,2007
10.1086/521207
null
astro-ph
null
I have undertaken a comprehensive statistical investigation of the ultracool dwarf companion distribution (spectral type M6 and later). Utilizing a Bayesian algorithm, I tested models of the companion distribution against data from an extensive set of space and ground-based imaging observations of nearby ultracool dwarfs. My main conclusions are fivefold: 1) Confirm that the concentration of high mass ratio ultracool binary systems is a fundamental feature of the companion distribution, not an observational or selection bias; 2) Determine that the wide (>~20 AU) binary frequency can be no more the 1-2%; 3) Show that the decreasing binary frequency with later spectral types is a real trend; 4) Demonstrate that a large population of currently undetected low mass ratio systems are not consistent with the current data; 5) Find that the population of spectroscopic binaries must be be at least 30% that of currently known ultracool binaries. The best fit value for the overall M6 and later binary frequency is ~20%-22%, of which only ~6% consists of currently undetected companions with separations less than 1 AU. If this is correct, then the upper limit of the ultracool binary population discovered to date is ~75%. I find that the numerical simulation results of the ejection formation method are inconsistent with the outcome of this analysis. However, dynamics do seem to play an important role as simulations of small-N clusters and triple system decays produce results similar to those of this work. The observational efforts required to improve these constraints are shown to be primarily large spectroscopic binary surveys and improved high-resolution imaging techniques.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 18:14:44 GMT" } ]
2010-01-28T00:00:00
[ [ "Allen", "Peter R.", "" ] ]
0707.2065
Donie O'Brien
N. H. Buttimore and D. S. O'Brien
Dynamics of polarization buildup by spin filtering
15 pages, references added, introduction elaborated on, some variables defined in more detail. Submitted to Eur. Phys. J. A
Eur.Phys.J.A35:47-55,2008
10.1140/epja/i2007-10531-2
null
hep-ph
null
There has been much recent research into polarizing an antiproton beam, instigated by the recent proposal from the PAX (Polarized Antiproton eXperiment) project at GSI Darmstadt. It plans to polarize an antiproton beam by repeated interaction with a polarized internal target in a storage ring. The method of polarization by spin filtering requires many of the beam particles to remain within the ring after scattering off the polarized internal target via electromagnetic and hadronic interactions. We present and solve sets of differential equations which describe the buildup of polarization by spin filtering in many different scenarios of interest to projects planning to produce high intensity polarized beams. These scenarios are: 1) spin filtering of a fully stored beam, 2) spin filtering while the beam is being accumulated, i.e. unpolarized particles are continuously being fed into the beam, 3) the particle input rate is equal to the rate at which particles are being lost due to scattering beyond ring acceptance angle, the beam intensity remaining constant, 4) increasing the initial polarization of a stored beam by spin filtering, 5) the input of particles into the beam is stopped after a certain amount of time, but spin filtering continues. The rate of depolarization of a stored polarized beam on passing through an electron cooler is also shown to be negligible.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 18:16:20 GMT" }, { "version": "v2", "created": "Fri, 14 Dec 2007 16:25:35 GMT" } ]
2008-11-26T00:00:00
[ [ "Buttimore", "N. H.", "" ], [ "O'Brien", "D. S.", "" ] ]
0707.2066
Ulrich Baur
U. Baur (Buffalo) and L.H. Orr (Rochester)
High p_T Top Quarks at the Large Hadron Collider
revtex 3, 39 pages, 18 figures
Phys.Rev.D76:094012,2007
10.1103/PhysRevD.76.094012
UB-HET-07-02
hep-ph
null
Many new physics models predict resonances with masses in the TeV range which decay into a pair of top quarks. With its large cross section, t\bar t production at the Large Hadron Collider (LHC) offers an excellent opportunity to search for such particles. The identification of very energetic top quarks is crucial in such an analysis. We consider in detail the t\bar t\to\ell^\pm\nu b\bar bq\bar q' (\ell=e, \mu) final state for high p_T top quarks. In this phase space region, two or more of the final state quarks can merge into a single jet due to the large Lorentz boost of the parent top quark. As a result, a large fraction of t\bar t\to\ell^\pm\nu b\bar bq\bar q' events with an invariant mass in the TeV region contains less than four observable jets. Requiring one or two tagged b-quarks, we calculate the W+jets, Wb+jets, Wb\bar b+jets, Wbt, and single top plus jets backgrounds for these final states, and identify cuts which help to suppress them. In particular, we discuss whether a cut on the jet invariant mass may be useful in reducing the background in the \ell\nu+2 jets channel. We also investigate how next-to-leading order QCD corrections affect high p_T top quark production at the LHC. We find that the \ell\nu+2 jets and \ell\nu+3 jets final states with one or two $b$-tags will significantly improve the chances for discovering new heavy particles in the t\bar t channel at the LHC.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 18:23:53 GMT" } ]
2008-11-26T00:00:00
[ [ "Baur", "U.", "", "Buffalo" ], [ "Orr", "L. H.", "", "Rochester" ] ]
0707.2067
Danny Steeghs
D.Steeghs (Warwick/CfA), P.G.Jonker (SRON/CfA)
On the mass of the neutron star in V395 Car/2S 0921-630
4 pages, 3 figures, accepted for publication in ApJ Letters
null
10.1086/523848
null
astro-ph
null
We report high-resolution optical spectroscopy of the low-mass X-ray binary V395 Car/2S 0921-630 obtained with the MIKE echelle spectrograph on the Magellan-Clay telescope. Our spectra are obtained near superior conjunction of the mass donor star and we exploit the absorption lines originating from the back-side of the K-type object to accurately derive its rotational velocity. Using K0-K1 III templates, we find vsini=32.9 +/- 0.8 km/s. We show that the choice of template star and the assumed limb darkening coefficient has little impact on the derived rotational velocity. This value is a significant revision downwards compared to previously published values. We derive new system parameter constraints in the light of our much lower rotational velocity. We find M_1=1.44 +/- 0.10 Msun, M_2=0.35 +/- 0.03 Msun, and q=0.24 +/- 0.02 where the errors have been estimated through a Monte-Carlo simulation. A possible remaining systematic effect is the fact that we may be over-estimating the orbital velocity of the mass donor due to irradiation effects. However, any correction for this effect will only reduce the compact object mass further, down to a minimum mass of M_1=1.05 +/- 0.08 Msun. There is thus strong evidence that the compact object in this binary is a neutron star of rather typical mass and that the previously reported mass values of 2-4Msun were too high due to an over-estimate of the rotational broadening.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 18:26:15 GMT" }, { "version": "v2", "created": "Mon, 24 Sep 2007 09:30:15 GMT" } ]
2009-11-13T00:00:00
[ [ "Steeghs", "D.", "", "Warwick/CfA" ], [ "Jonker", "P. G.", "", "SRON/CfA" ] ]
0707.2068
Clint Young
Kevin Dusling and Clint Young
Effective potentials for heavy quarks above deconfinement
15 pages, 6 figures; some content added
null
null
null
nucl-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Using methods previously developed by Kelbg and others for creating effective potentials for electron-ion plasmas, we investigate quarkonium potentials above deconfinement. Using results for the internal energy of a static quark-antiquark pair, a set of effective potentials are constructed that take into account quantum effects and symmetry conditions. Bound state effects are explicitly included in order to account for the strongly coupled nature of plasmas. It is hoped that these effective potentials will be useful in simulations of heavy quarks or plasma quasiparticles when the dynamics is treated classically.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 18:54:05 GMT" }, { "version": "v2", "created": "Thu, 16 Apr 2009 20:00:46 GMT" }, { "version": "v3", "created": "Wed, 14 Oct 2009 18:23:31 GMT" } ]
2009-10-14T00:00:00
[ [ "Dusling", "Kevin", "" ], [ "Young", "Clint", "" ] ]
0707.2069
Adrian Butscher
Adrian Butscher
Constant Mean Curvature Hypersurfaces in the (n+1)-Sphere by Gluing Spherical Building Blocks
33 Pages
null
null
null
math.DG math.AP
null
The techniques developed by Butscher in arXiv:math/0703469 for constructing constant mean curvature (CMC) hypersurfaces in the (n+1)-sphere by gluing together spherical building blocks are generalized to handle less symmetric initial configurations. The outcome is that the approximately CMC hypersurface obtained by gluing the initial configuration together can be perturbed into an exactly CMC hypersurface only when certain global geometric conditions are met. These `balancing conditions' are analogous to those that must be satisfied in the `classical' context of gluing constructions of CMC hypersurfaces in Euclidean space, although they are more restrictive in the (n+1)-sphere case. An example of an initial configuration is given which demonstrates this fact; and another example of an initial configuration is given which possesses no symmetries at all.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 18:37:40 GMT" } ]
2007-07-16T00:00:00
[ [ "Butscher", "Adrian", "" ] ]
0707.2070
Karsten Jedamzik
Karsten Jedamzik (LPTA)
The cosmic 6Li and 7Li problems and BBN with long-lived charged massive particles
15 pages (revtex), 14 figures, large changes in analysis and conclusions
Phys.Rev.D77:063524,2008
10.1103/PhysRevD.77.063524
null
astro-ph hep-ph
null
Charged massive particles (CHAMPs), when present during the Big Bang nucleosynthesis (BBN) era, may significantly alter the synthesis of light elements when compared to a standard BBN scenario. This is due to the formation of bound states with nuclei. This paper presents a detailed numerical and analytical analysis of such CHAMP BBN. All reactions important for predicting light-element yields are calculated within the Born approximation. Three priorly neglected effects are treated in detail:(a) photodestruction of bound states due to electromagnetic cascades induced by the CHAMP decay, (b) late-time efficient destruction/production of H2, Li6, and Li7 due to reactions on charge Z=1 nuclei bound to CHAMPs, and (c) CHAMP exchange between nuclei. Each of these effects may induce orders-of-magnitude changes in the final abundance yields. The study focusses on the impact of CHAMPs on a possible simultaneous solution of the Li6 and Li7 problems. It is shown that a priorly suggested simultaneous solution of the Li6 and Li7 problems for a relic decaying at tau_x = 1000 sec is only very weakly dependent on the relic being neutral or charged, unless its hadronic branching ratio is Bh << 10^-4 very small. By use of a Monte-Carlo analysis it is shown that within CHAMP BBN the existence of further parameter space for a simultaneous solution of the Li6 and Li7 problem for long decay times tau_x > 10^6 sec seems possible but fairly unlikely.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 18:44:50 GMT" }, { "version": "v2", "created": "Wed, 1 Aug 2007 13:08:13 GMT" }, { "version": "v3", "created": "Fri, 26 Oct 2007 17:36:04 GMT" } ]
2008-12-18T00:00:00
[ [ "Jedamzik", "Karsten", "", "LPTA" ] ]
0707.2071
D. M. Appleby
D. M. Appleby, Hoan Bui Dang and Christopher A. Fuchs
Symmetric Informationally-Complete Quantum States as Analogues to Orthonormal Bases and Minimum-Uncertainty States
4 pages, no figures, revtex. Version 2: new title, result in Section 1 strengthened, otherwise minor changes only
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Since Renes et al. [J. Math. Phys. 45, 2171 (2004)], there has been much effort in the quantum information community to prove (or disprove) the existence of symmetric informationally complete (SIC) sets of quantum states in arbitrary finite dimension. This paper strengthens the urgency of this question by showing that if SIC-sets exist: 1) by a natural measure of orthonormality, they are as close to being an orthonormal basis for the space of density operators as possible, and 2) in prime dimensions, the standard construction for complete sets of mutually unbiased bases and Weyl-Heisenberg covariant SIC-sets are intimately related: The latter represent minimum uncertainty states for the former in the sense of Wootters and Sussman. Finally, we contribute to the question of existence by conjecturing a quadratic redundancy in the equations for Weyl-Heisenberg SIC-sets.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 18:47:14 GMT" }, { "version": "v2", "created": "Mon, 28 Jun 2010 18:37:56 GMT" } ]
2010-06-29T00:00:00
[ [ "Appleby", "D. M.", "" ], [ "Dang", "Hoan Bui", "" ], [ "Fuchs", "Christopher A.", "" ] ]
0707.2072
Jan Kycia
J.A. Quilliam, K.A. Ross, A.G. Del Maestro, M.J.P. Gingras, L.R. Corruccini, J.B. Kycia
Evidence for gapped spin-wave excitations in the frustrated Gd2Sn2O7 pyrochlore antiferromagnet from low-temperature specific heat measurements
null
Phys. Rev. Lett. 99, 097201 (2007)
10.1103/PhysRevLett.99.097201
null
cond-mat.stat-mech
null
We have measured the low-temperature specific heat of the geometrically frustrated pyrochlore Heisenberg antiferromagnet Gd2Sn2O7 in zero magnetic field. The specific heat is found to drop exponentially below approximately 350 mK. This provides evidence for a gapped spin-wave spectrum due to an anisotropy resulting from single ion effects and long-range dipolar interactions. The data are well fitted by linear spin-wave theory, ruling out unconventional low energy magnetic excitations in this system, and allowing a determination of the pertinent exchange interactions in this material.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 19:03:46 GMT" } ]
2009-11-13T00:00:00
[ [ "Quilliam", "J. A.", "" ], [ "Ross", "K. A.", "" ], [ "Del Maestro", "A. G.", "" ], [ "Gingras", "M. J. P.", "" ], [ "Corruccini", "L. R.", "" ], [ "Kycia", "J. B.", "" ] ]
0707.2073
Sayeef Salahuddin
Sayeef Salahuddin and Supriyo Datta
Use of negative capacitance to provide a sub-threshold slope lower than 60 mV/decade
null
null
null
null
cond-mat.mes-hall
null
It is well known that conventional Field Effect Transistors (FET's) require a change in the channel potential of at least 60 mV at 300K to effect a change in the current by a factor of ten, and this minimum subthreshold slope S puts a lower limit of fundamental nature on the operating voltage and hence the power dissipation in standard FET based switches. Here we show that by replacing the standard insulator with a ferroelectric insulator of the right thickness it should be possible to implement a step-up voltage transformer that will amplify the gate voltage thus leading to values of S lower than 60 mV/decade and enabling low voltage/low power operation. The voltage transformer action can be understood intuitively as the result of an effective negative capacitance provided by the ferroelectric capacitor which arises from an internal positive feedback that in principle could be obtained from other microscopic mechanisms as well. Unlike other proposals to reduce S this involves no change in the basic physics of the FET and thus does not affect its current drive or impose other restrictions.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 19:21:52 GMT" } ]
2007-07-16T00:00:00
[ [ "Salahuddin", "Sayeef", "" ], [ "Datta", "Supriyo", "" ] ]
0707.2074
Dilip Kumar Ghosh
Debajyoti Choudhury and Dilip Kumar Ghosh
Top off the unparticle
5 pages
Int.J.Mod.Phys.A23:2579-2590,2008
10.1142/S0217751X08040287
null
hep-ph
null
The existence of an exactly scale invariant sector possessing a non-trivial infrared fixed point at a higher energy scale and its possible communication with the Standard Model particles through a heavy messenger sector has been shown to lead to curious unparticle effects. We demonstrate that top physics at the Tevatron can already constrain such theories. We also consider possible improvements at the LHC and delineate some striking signatures.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 19:40:04 GMT" } ]
2008-11-26T00:00:00
[ [ "Choudhury", "Debajyoti", "" ], [ "Ghosh", "Dilip Kumar", "" ] ]
0707.2075
Suchitra Sebastian
Suchitra E. Sebastian, N. Harrison, P. Sengupta, C. D. Batista, S. Francoual, E. Palm, T. Murphy, N. Marcano, H. A. Dabkowska, B. D. Gaulin
Fractalization drives crystalline states in a frustrated spin system
14 pages, 3 figures
PNAS 105, 20157 (2008)
10.1073/pnas.0804320105
null
cond-mat.str-el
null
We measure a sequence of quantum Hall-like plateaux at 1/q: 9 >= q >= 2 and p/q = 2/9 fractions in the magnetisation with increasing magnetic field in the geometrically frustrated spin system SrCu2(BO3)2. We find that the entire observed sequence of plateaux is reproduced by solving the Hofstadter problem on the system lattice when short-range repulsive interactions are included, thus providing a sterling demonstration of bosons confined by a magnetic and lattice potential mimicking fermions in the extreme quantum limit.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 19:50:09 GMT" }, { "version": "v2", "created": "Mon, 7 Apr 2008 16:53:33 GMT" } ]
2011-12-08T00:00:00
[ [ "Sebastian", "Suchitra E.", "" ], [ "Harrison", "N.", "" ], [ "Sengupta", "P.", "" ], [ "Batista", "C. D.", "" ], [ "Francoual", "S.", "" ], [ "Palm", "E.", "" ], [ "Murphy", "T.", "" ], [ "Marcano", "N.", "" ], [ "Dabkowska", "H. A.", "" ], [ "Gaulin", "B. D.", "" ] ]
0707.2076
Orion Penner
Orion Penner, Vishal Sood, Gabe Musso, Kim Baskerville, Peter Grassberger, Maya Paczuski
Node similarity within subgraphs of protein interaction networks
10 pages, 5 figures. Edited for typos, clarity, figures improved for readability
null
10.1016/j.physa.2008.02.043
null
q-bio.MN cond-mat.stat-mech
null
We propose a biologically motivated quantity, twinness, to evaluate local similarity between nodes in a network. The twinness of a pair of nodes is the number of connected, labeled subgraphs of size n in which the two nodes possess identical neighbours. The graph animal algorithm is used to estimate twinness for each pair of nodes (for subgraph sizes n=4 to n=12) in four different protein interaction networks (PINs). These include an Escherichia coli PIN and three Saccharomyces cerevisiae PINs -- each obtained using state-of-the-art high throughput methods. In almost all cases, the average twinness of node pairs is vastly higher than expected from a null model obtained by switching links. For all n, we observe a difference in the ratio of type A twins (which are unlinked pairs) to type B twins (which are linked pairs) distinguishing the prokaryote E. coli from the eukaryote S. cerevisiae. Interaction similarity is expected due to gene duplication, and whole genome duplication paralogues in S. cerevisiae have been reported to co-cluster into the same complexes. Indeed, we find that these paralogous proteins are over-represented as twins compared to pairs chosen at random. These results indicate that twinness can detect ancestral relationships from currently available PIN data.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 19:46:04 GMT" }, { "version": "v2", "created": "Fri, 17 Aug 2007 22:16:52 GMT" } ]
2009-11-13T00:00:00
[ [ "Penner", "Orion", "" ], [ "Sood", "Vishal", "" ], [ "Musso", "Gabe", "" ], [ "Baskerville", "Kim", "" ], [ "Grassberger", "Peter", "" ], [ "Paczuski", "Maya", "" ] ]
0707.2077
Jacob van den Berg
Jacob van den Berg (CWI and VUA)
Approximate zero-one laws and sharpness of the percolation transition in a class of models including 2D Ising percolation
30 pages
null
null
null
math.PR
null
One of the most well-known classical results for site percolation on the square lattice is the equation p_c + p_c^* = 1. In words, this equation means that for all values different from p_c of the parameter p the following holds: Either a.s. there is an infinite open cluster or a.s. there is an infinite closed `star' cluster. This result is closely related to the percolation transition being sharp: Below p_c the size of the open cluster of a given vertex is not only (a.s.) finite, but has a distrubtion with an exponential tail. The analog of this result has been proved by Higuchi in 1993 for two-dimensional Ising percolation, with fixed inverse temparature beta <beta_c, and as parameter the external field h. Using sharp-threshold results (approximate zero-one laws) and a modification of an RSW-like result by Bollobas and Riordan, we show that these results hold for a large class of percolation models where the vertex values can be `nicely' represented (in a sense which will be defined precisely) by i.i.d. random variables. We point out that the ordinary percolation model belongs obviously to this class, and we show that also the above mentionedIsing model belongs to it. We hope that our results improve insight in the Ising percolation model, and will help to show that many other (not yet analyzed) weakly dependent percolation models also belong to the abovementioned class.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 19:48:05 GMT" } ]
2007-07-16T00:00:00
[ [ "Berg", "Jacob van den", "", "CWI and VUA" ] ]
0707.2078
Muhammad Tahir
M. Tahir and K. Sabeeh
Quantum transport of Dirac electrons in graphene in the presence of a spatially modulated magnetic field
Accepted in PRB: 10 pages, 3 figures
null
10.1103/PhysRevB.77.195421
null
cond-mat.mes-hall
null
We have investigated the electrical transport properties of Dirac electrons in a monolayer graphene sheet in the presence of a perpendicular magnetic field that is modulated weakly and periodically along one direction.We find that the Landau levels broaden into bands and their width oscillates as a function of the band index and the magnetic field.We determine the $\sigma_{yy}$ component of the magnetoconductivity tensor for this system which is shown to exhibit Weiss oscillations.We also determine analytically the asymptotic expressions for $\sigma_{yy}$.We compare these results with recently obtained results for electrically modulated graphene as well as those for magnetically modulated conventional two-dimensional electron gas (2DEG) system.We find that in the magnetically modulated graphene system cosidered in this work,Weiss oscillations in $\sigma_{yy}$ have a reduced amplitude compared to the 2DEG but are less damped by temperature while they have a higher amplitude than in the electrically modulated graphene system. We also find that these oscillations are out of phase by $\pi$ with those of the electrically modulated system while they are in phase with those in the 2DEG system.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 13:49:23 GMT" }, { "version": "v2", "created": "Thu, 28 Feb 2008 10:33:42 GMT" }, { "version": "v3", "created": "Fri, 11 Apr 2008 14:49:04 GMT" } ]
2009-11-13T00:00:00
[ [ "Tahir", "M.", "" ], [ "Sabeeh", "K.", "" ] ]
0707.2079
Jan Vondrak
Benny Sudakov and Jan Vondrak
Nearly optimal embeddings of trees
null
null
null
null
math.CO math.PR
null
In this paper we show how to find nearly optimal embeddings of large trees in several natural classes of graphs. The size of the tree T can be as large as a constant fraction of the size of the graph G, and the maximum degree of T can be close to the minimum degree of G. For example, we prove that any graph of minimum degree d without 4-cycles contains every tree of size \epsilon d^2 and maximum degree at most (1-2\epsilon)d - 2. As there exist d-regular graphs without 4-cycles of size O(d^2), this result is optimal up to constant factors. We prove similar nearly tight results for graphs of given girth, graphs with no complete bipartite subgraph K_{s,t}, random and certain pseudorandom graphs. These results are obtained using a simple and very natural randomized embedding algorithm, which can be viewed as a "self-avoiding tree-indexed random walk".
[ { "version": "v1", "created": "Fri, 13 Jul 2007 20:07:16 GMT" } ]
2007-07-17T00:00:00
[ [ "Sudakov", "Benny", "" ], [ "Vondrak", "Jan", "" ] ]
0707.2080
Rychard J. Bouwens
Rychard J. Bouwens (UCSC), Garth D. Illingworth (UCSC), Marijn Franx (Leiden), Holland Ford (JHU)
UV Luminosity Functions at z~4, 5, and 6 from the HUDF and other Deep HST ACS Fields: Evolution and Star Formation History
33 pages, 18 figures, accepted for publication in the Astrophysical Journal, updated to match version in press
null
10.1086/521811
null
astro-ph
null
We use the ACS BViz data from the HUDF and all other deep HST ACS fields (including the GOODS fields) to find large samples of star-forming galaxies at z~4 and z~5 and to extend our previous z~6 sample. These samples contain 4671, 1416, and 627 B, V, and i dropouts, respectively, and reach to extremely low luminosities (0.01-0.04 L* or M(UV)~-16 to -17), allowing us to determine the rest-frame UV luminosity function (LF) and faint-end slope alpha at z~4-6 to high accuracy. We find faint-end slopes alpha of -1.73+/-0.05 at z~4, -1.66+/-0.09 at z~5, and -1.74+/-0.16 at z~6 -- suggesting that the faint-end slope is very steep and shows little evolution with cosmic time. We find that M*(UV) brightens considerably in the 0.7 Gyr from z~6 to z~4 (by ~0.7 mag from M*=-20.24+/-0.19 to M*=-20.98+/-0.10). The observed increase in the characteristic luminosity over this range is almost identical to that expected for the halo mass function -- suggesting that the observed evolution is likely due to the hierarchical coalescence and merging of galaxies. The evolution in phi* is not significant. The UV luminosity density at z~6 is modestly lower (0.45+/-0.09 times) than that at z~4 (integrated to -17.5 AB mag) though a larger change is seen in the dust-corrected star-formation rate density. We thoroughly examine published LF results and assess the reasons for their wide dispersion. We argue that the results reported here are the most robust available. The extremely steep faint-end slopes alpha found here suggest that lower luminosity galaxies play a significant role in reionizing the universe. Finally, we consider recent search results for galaxies at z~7-8 and use them to extend our estimates of the evolution in M* from z~7-8 to z~4.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 12:09:11 GMT" }, { "version": "v2", "created": "Mon, 12 Nov 2007 23:52:47 GMT" } ]
2009-11-13T00:00:00
[ [ "Bouwens", "Rychard J.", "", "UCSC" ], [ "Illingworth", "Garth D.", "", "UCSC" ], [ "Franx", "Marijn", "", "Leiden" ], [ "Ford", "Holland", "", "JHU" ] ]
0707.2081
Don N. Page
Don N. Page
No-Bang Quantum State of the Cosmos
18 pages, LaTeX, updated with a few new qualifications and references
Class.Quant.Grav.25:154011,2008
10.1088/0264-9381/25/15/154011
Alberta-Thy-08-07
hep-th
null
A quantum state of the entire cosmos (universe or multiverse) is proposed which is the equal mixture of the Giddings-Marolf states that are asymptotically single de Sitter spacetimes in both past and future and are regular on the throat or neck of minimal three-volume. That is, states are excluded that have a big bang or big crunch or which split into multiple asymptotic de Sitter spacetimes. (For simplicity, transitions between different values of the cosmological constant are assumed not to occur, though different positive values are allowed.) The entropy of this mixed state appears to be of the order of the three-fourths power of the Bekenstein-Hawking A/4 entropy of de Sitter spacetime. Most of the component pure states do not have rapid inflation, but when an inflaton is present and the states are weighted by the volume at the end of inflation, a much smaller number of states may dominate and give a large amount of inflation and hence may agree with observations.
[ { "version": "v1", "created": "Mon, 16 Jul 2007 19:54:49 GMT" }, { "version": "v2", "created": "Fri, 4 Jan 2008 18:31:49 GMT" }, { "version": "v3", "created": "Fri, 7 Mar 2008 17:17:00 GMT" } ]
2008-11-26T00:00:00
[ [ "Page", "Don N.", "" ] ]
0707.2082
Thomas Klose
Valentina Giangreco Marotta Puletti, Thomas Klose and Olof Ohlsson Sax
Factorized world-sheet scattering in near-flat AdS_5 x S^5
33 pages, 5 figures, v2: reference added
Nucl.Phys.B792:228-256,2008
10.1016/j.nuclphysb.2007.09.018
UUITP-14/07
hep-th
null
We show the factorization of the three-particle world-sheet S-matrix of AdS_5 x S^5 superstring theory in the near-flat-space limit at one loop order. This is done by computing various scattering amplitudes from Feynman diagrams in the world-sheet theory. The knowledge of certain highest weight amplitudes allows us to fix all the freedom in the three-particle S-matrix, which we argue to be constrained up to four scalar functions due to the symmetries of the model. We demonstrate that these amplitudes are given by corresponding products of the known two-particle S-matrix elements, from which it follows that the scattering of any three world-sheet excitations factorizes. This provides an explicit and direct check of the quantum integrability of string theory in near-flat AdS_5 x S^5 as it renders evidence for the existence of higher conserved charges. By computing further amplitudes we also obtain an indirect confirmation of the supersymmetries of the near-flat-space model.
[ { "version": "v1", "created": "Mon, 16 Jul 2007 18:12:52 GMT" }, { "version": "v2", "created": "Tue, 24 Jul 2007 09:55:19 GMT" } ]
2008-11-26T00:00:00
[ [ "Puletti", "Valentina Giangreco Marotta", "" ], [ "Klose", "Thomas", "" ], [ "Sax", "Olof Ohlsson", "" ] ]
0707.2083
Joshua Faber
Zachariah B. Etienne, Joshua A. Faber, Yuk Tung Liu, Stuart L. Shapiro, Thomas W. Baumgarte
Filling the holes: Evolving excised binary black hole initial data with puncture techniques
5 pages, 5 figures, accepted by PRD Rapid Communications, RevTeX
Phys.Rev.D76:101503,2007
10.1103/PhysRevD.76.101503
null
gr-qc astro-ph
null
We follow the inspiral and merger of equal-mass black holes (BHs) by the moving puncture technique and demonstrate that both the exterior solution and the asymptotic gravitational waveforms are unchanged when the initial interior solution is replaced by constraint-violating ``junk'' initial data. We apply this result to evolve conformal thin-sandwich (CTS) binary BH initial data by filling their excised interiors with arbitrary, but smooth, initial data and evolving with standard puncture gauge choices. The waveforms generated for both puncture and filled-CTS initial data are remarkably similar, and there are only minor differences between irrotational and corotational CTS BH binaries. Even the interior solutions appear to evolve to the same constraint-satisfying solution at late times, independent of the initial data.
[ { "version": "v1", "created": "Mon, 16 Jul 2007 13:45:54 GMT" }, { "version": "v2", "created": "Thu, 27 Sep 2007 19:15:37 GMT" } ]
2008-11-26T00:00:00
[ [ "Etienne", "Zachariah B.", "" ], [ "Faber", "Joshua A.", "" ], [ "Liu", "Yuk Tung", "" ], [ "Shapiro", "Stuart L.", "" ], [ "Baumgarte", "Thomas W.", "" ] ]
0707.2084
Claudio Castelnovo
C. Castelnovo (1), C. Chamon (2) ((1) Oxford University, (2) Boston University)
A quantum topological phase transition at the microscopic level
(13 pages, 4 figures) v2: updated references and acknowledgments; v3: final update (references) after publication
Phys. Rev. B 77, 054433 (2008)
10.1103/PhysRevB.77.054433
null
cond-mat.str-el quant-ph
null
We study a quantum phase transition between a phase which is topologically ordered and one which is not. We focus on a spin model, an extension of the toric code, for which we obtain the exact ground state for all values of the coupling constant that takes the system across the phase transition. We compute the entanglement and the topological entropy of the system as a function of this coupling constant, and show that the topological entropy remains constant all the way up to the critical point, and jumps to zero beyond it. Despite the jump in the topological entropy, the transition is second order as detected via any local observable.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 20:02:17 GMT" }, { "version": "v2", "created": "Thu, 1 Nov 2007 17:30:53 GMT" }, { "version": "v3", "created": "Sat, 1 Mar 2008 03:50:14 GMT" } ]
2009-09-29T00:00:00
[ [ "Castelnovo", "C.", "" ], [ "Chamon", "C.", "" ] ]
0707.2085
Vsevolod Shevchishin
Vsevolod Shevchishin
Lagrangian embeddings of the Klein bottle and combinatorial properties of mapping class groups
50 pages, 3 figures
null
null
null
math.SG math.GR math.GT
null
A proof of non-existence of Lagrangian embeddings of the Klein bottle K in \CP^2 is given. We exploit the existence of a special embedding of K in a symplectic Lefschetz pencil on \CP^2 and study its monodromy. As the main technical tool, we develop the theory of mapping class groups, considered as quotients of special Artin braid groups, and obtain some new results about combinatorial structure of such groups.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 20:30:07 GMT" } ]
2007-07-17T00:00:00
[ [ "Shevchishin", "Vsevolod", "" ] ]
0707.2086
Keith Olive
Emmanuel Rollinde, David Maurin, Elisabeth Vangioni, Keith A. Olive, and Susumu Inoue
Cosmic Ray production of Beryllium and Boron at high redshift
9 pages, 7 figures
ApJ 673, 676-685 (2008)
10.1086/524931
UMN-TH-2612/07, FTPI-MINN-07/23
astro-ph
null
Recently, new observations of Li6 in Pop II stars of the galactic halo have shown a surprisingly high abundance of this isotope, about a thousand times higher than its predicted primordial value. In previous papers, a cosmological model for the cosmic ray-induced production of this isotope in the IGM has been developed to explain the observed abundance at low metallicity. In this paper, given this constraint on the Li6, we calculate the non-thermal evolution with redshift of D, Be, and B in the IGM. In addition to cosmological cosmic ray interactions in the IGM, we include additional processes driven by SN explosions: neutrino spallation and a low energy component in the structures ejected by outflows to the IGM. We take into account CNO CRs impinging on the intergalactic gas. Although subdominant in the galactic disk, this process is shown to produce the bulk of Be and B in the IGM, due to the differential metal enrichment between structures (where CRs originate) and the IGM. We also consider the resulting extragalactic gamma-ray background which we find to be well below existing data. The computation is performed in the framework of hierarchical structure formation considering several star formation histories including Pop III stars. We find that D production is negligible and that a potentially detectable Be and B plateau is produced by these processes at the time of the formation of the Galaxy (z ~ 3).
[ { "version": "v1", "created": "Fri, 13 Jul 2007 20:20:25 GMT" } ]
2009-01-15T00:00:00
[ [ "Rollinde", "Emmanuel", "" ], [ "Maurin", "David", "" ], [ "Vangioni", "Elisabeth", "" ], [ "Olive", "Keith A.", "" ], [ "Inoue", "Susumu", "" ] ]
0707.2087
Linda Smolka
Linda B. Smolka, Justin North, Bree K. Guerra
Dynamics of Free Surface Perturbations Along an Annular Viscous Film
13 pages, 22 eps figures
null
10.1103/PhysRevE.77.036301
null
physics.flu-dyn
null
It is known that an axisymmetric viscous film flowing down the outside of a thin vertical fiber becomes unstable to interfacial perturbations. We present an experimental study using fluids with different densities, surface tensions and viscosities to investigate the growth and dynamics of these interfacial perturbations and to test the assumptions made by previous authors. We find the initial perturbation growth is exponential followed by a slower phase as the amplitude and wavelength saturate in size. Measurements of the perturbation growth for experiments conducted at low and moderate Reynolds numbers are compared to theoretical predictions developed from linear stability theory. Excellent agreement is found between predictions from a long-wave Stokes flow model (Craster & Matar, J. Fluid Mech. 553, 85 (2006)) and data, while fair agreement is found between predictions from a moderate Reynolds number model (Sisoev et al., Chem. Eng. Sci. 61, 7279 (2006)) and data. Furthermore, we find that a known transition in the longer-time perturbation dynamics from unsteady to steady behavior at a critical flow rate, Qc, is correlated to a transition in the rate at which perturbations naturally form along the fiber. For Q < Qc (steady case), the rate of perturbation formation is constant. As a result the position along the fiber where perturbations form is nearly fixed, and the spacing between consecutive perturbations remains constant as they travel 2 m down the fiber. For Q > Qc (unsteady case), the rate of perturbation formation is modulated. As a result the position along the fiber where perturbations form oscillates irregularly, and the initial speed and spacing between perturbations varies resulting in the coalescence of neighboring perturbations further down the fiber.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 21:12:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Smolka", "Linda B.", "" ], [ "North", "Justin", "" ], [ "Guerra", "Bree K.", "" ] ]
0707.2088
Xiaolan Zhou
John P. Perdew, Adrienn Ruzsinszky, Gabor I. Csonka, Oleg A. Vydrov, Gustavo E. Scuseria, Lucian A. Constantin, Xiaolan Zhou, and Kieron Burke
Generalized gradient approximation for solids and their surfaces
4pages, 2figures,2tables
Phys. Rev. Lett. 100, 136406 (2008)
10.1103/PhysRevLett.100.136406
null
cond-mat.other cond-mat.mtrl-sci
null
Successful modern generalized gradient approximations (GGA) are biased toward atomic energies. Restoration of the first-principles gradient expansion for the exchange energy over a wide range of density gradients eliminates this bias. We introduce PBEsol, a revised Perdew-Burke-Ernzerhof GGA that improves equilibrium properties for many densely-packed solids and their surfaces.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 20:25:46 GMT" }, { "version": "v2", "created": "Mon, 22 Oct 2007 22:33:06 GMT" } ]
2008-04-08T00:00:00
[ [ "Perdew", "John P.", "" ], [ "Ruzsinszky", "Adrienn", "" ], [ "Csonka", "Gabor I.", "" ], [ "Vydrov", "Oleg A.", "" ], [ "Scuseria", "Gustavo E.", "" ], [ "Constantin", "Lucian A.", "" ], [ "Zhou", "Xiaolan", "" ], [ "Burke", "Kieron", "" ] ]
0707.2089
Israel Quiros
Tame Gonzalez, Israel Quiros
Exact models with non-minimal interaction between dark matter and (either phantom or quintessence) dark energy
15 pages, 2 eps figures. Several bibliographic references added. Some new comments and acknowledgements also added
Class.Quant.Grav.25:175019,2008
10.1088/0264-9381/25/17/175019
null
gr-qc
null
A method for deriving Friedmann-Robertson-Walker (FRW) solutions developed in Int. J. Mod. Phys. D{\bf 5}(1996)71-84, is generalized to account for models with non-minimal coupling between the dark energy and the dark matter. New quintessence and phantom (flat) FRW solutions are found. Their physical significance is discussed. Additionally, the aforementioned method is modified so that, "coincidence free" solutions can be readily derived. Besides, we review some aspects of the phantom barrier crossing. In this regard we present a model which is free from the coincidence problem and, at the same time, does the crossing of the phantom barrier $\omega=-1$ at late time. Finally, we give additional comments on the non predictive properties of scalar field cosmological models with or without energy transfer.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 20:45:19 GMT" }, { "version": "v2", "created": "Mon, 14 Jan 2008 16:17:20 GMT" } ]
2008-11-26T00:00:00
[ [ "Gonzalez", "Tame", "" ], [ "Quiros", "Israel", "" ] ]
0707.2090
G.Susinder Rajan
G. Susinder Rajan and B. Sundar Rajan
A Training based Distributed Non-Coherent Space-Time Coding Strategy
10 pages, 3 figures, submitted to IEEE Transactions on Wireless Communications
null
null
null
cs.IT math.IT
null
Unitary space-time modulation is known to be an efficient means to communicate over non-coherent Multiple Input Multiple Output (MIMO) channels. In this letter, differential unitary space-time coding and non-coherent space-time coding for the training based approach of Kim and Tarokh are addressed. For this approach, necessary and sufficient conditions for multi-group decodability are derived in a simple way assuming a Generalized Likelihood Ratio Test receiver and a unitary codebook. Extending Kim and Tarokh's approach for colocated MIMO systems, a novel training based approach to distributed non-coherent space-time coding for wireless relay networks is proposed. An explicit construction of two-group decodable distributed non-coherent space-time codes achieving full cooperative diversity for all even number of relays is provided.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 20:42:20 GMT" } ]
2007-07-17T00:00:00
[ [ "Rajan", "G. Susinder", "" ], [ "Rajan", "B. Sundar", "" ] ]
0707.2091
Su Ying Quek
Su Ying Quek, Latha Venkataraman, Hyoung Joon Choi, Steven G. Louie, Mark S. Hybertsen, J.B. Neaton
Amine-Gold Linked Single-Molecule Junctions: Experiment and Theory
null
null
10.1021/nl072058i
null
cond-mat.mtrl-sci
null
The measured conductance distribution for single molecule benzenediamine-gold junctions, based on 59,000 individual conductance traces recorded while breaking a gold point contact in solution, has a clear peak at 0.0064 G$_{0}$ with a width of $\pm$ 40%. Conductance calculations based on density functional theory (DFT) for 15 distinct junction geometries show a similar spread. Differences in local structure have a limited influence on conductance because the amine-Au bonding motif is well-defined and flexible. The average calculated conductance (0.046 G$_{0}$) is seven times larger than experiment, suggesting the importance of many-electron corrections beyond DFT.
[ { "version": "v1", "created": "Mon, 16 Jul 2007 17:58:20 GMT" } ]
2015-05-13T00:00:00
[ [ "Quek", "Su Ying", "" ], [ "Venkataraman", "Latha", "" ], [ "Choi", "Hyoung Joon", "" ], [ "Louie", "Steven G.", "" ], [ "Hybertsen", "Mark S.", "" ], [ "Neaton", "J. B.", "" ] ]
0707.2092
Alan Horwitz
Alan Horwitz
Ellipses of minimal area and of minimal eccentricity circumscribed about a convex quadrilateral
Submitted for publication to the Journal of Mathematical Analysis and Applications-18 pages. No figures
Australian Journal of Mathematical Analysis and Applications, Volume 7, Issue 1, Article 8(2010)
null
null
math.CA
null
First, we fill in key gaps in Steiner's nice characterization of the most nearly circular ellipse which passes through the vertices of a convex quadrilateral, D. Steiner proved that there is only one pair of conjugate directions, M1 and M2, that belong to all ellipses of circumscription. Then he proves that if there is an ellipse, E, whose equal conjugate diameters possess the directional constants M1 and M2, then E must be an ellipse of circumscription which has minimal eccentricity. However, Steiner does not show the existence or uniqueness of such an ellipse. We prove that there is a unique ellipse of minimal eccentricity which passes through the vertices of D. We also show that there exists an ellipse which passes through the vertices of D and whose equal conjugate diameters possess the directional constants M1 and M2. We also show that there exists a unique ellipse of minimal area which passes through the vertices of D. Finally, we call a convex quadrilateral, D, bielliptic if the unique inscribed and circumscribed ellipses of minimal eccentricity have the same eccentricity. This generalizes the notion of bicentric quadrilaterals. In particular we show the existence of a bielliptic convex quadrilateral which is not bicentric.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 21:13:52 GMT" } ]
2011-07-29T00:00:00
[ [ "Horwitz", "Alan", "" ] ]
0707.2093
Cindy Tam
Cindy R. Tam (1), Fotis P. Gavriil (2), Rim Dib (1), Victoria M. Kaspi (1), Peter M. Woods (3), Cees Bassa (1) ((1) McGill University, (2) NASA GSFC, (3) Dynetics, Inc.; NSSTC)
X-ray and Near-IR Variability of the Anomalous X-ray Pulsar 1E 1048.1-5937: From Quiescence Back to Activity
13 pages (6 figures) in emulateapj style. Accepted for publication in ApJ. New version includes referee's corrections; split Figure 1 into 2 figures; modified Figs. 4b and 6b; rearranged and renumbered of some figures and sections; added an X-ray dataset; improved analysis of pulse morphology and pulsed fraction; added paragraph to sec. 3.2.6
null
10.1086/528368
null
astro-ph
null
(Abridged) We report on new and archival X-ray and near-infrared observations of the anomalous X-ray pulsar 1E 1048.1-5937 performed between 2001-2007 with RXTE, CXO, Swift, HST, and VLT. During its ~2001-2004 active period, 1E 1048.-5937 exhibited two large, long-term X-ray pulsed-flux flares as well as short bursts, and large (>10x) torque changes. Monitoring with RXTE revealed that the source entered a phase of timing stability in 2004; at the same time, a series of four simultaneous observations with CXO and HST in 2006 showed that its X-ray flux and spectrum and near-IR flux, all variable prior to 2005, stabilized. The near-IR flux, when detected by HST (H~22.7 mag) and VLT (K_S~21.0 mag), was considerably fainter than previously measured. Recently, in 2007 March, this newfound quiescence was interrupted by a sudden flux enhancement, X-ray spectral changes and a pulse morphology change, simultaneous with a large spin-up glitch and near-IR enhancement. Our RXTE observations revealed a sudden pulsed flux increase by a factor of ~3 in the 2-10 keV band. In observations with CXO and Swift, we found that the total X-ray flux increased much more than the pulsed flux, reaching a peak value of >7 times the quiescent value (2-10 keV). With these recent data, we find a strong anti-correlation between X-ray flux and pulsed fraction, and a correlation between X-ray spectral hardness and flux. Simultaneously with the radiative and timing changes, we observed a significant X-ray pulse morphology change such that the profile went from nearly sinusoidal to having multiple peaks. We compare these remarkable events with other AXP outbursts and discuss implications in the context of the magnetar model and other models of AXP emission.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 21:02:29 GMT" }, { "version": "v2", "created": "Mon, 17 Dec 2007 23:51:18 GMT" } ]
2009-11-13T00:00:00
[ [ "Tam", "Cindy R.", "" ], [ "Gavriil", "Fotis P.", "" ], [ "Dib", "Rim", "" ], [ "Kaspi", "Victoria M.", "" ], [ "Woods", "Peter M.", "" ], [ "Bassa", "Cees", "" ] ]
0707.2094
Anjum S. Mukadam
Anjum S. Mukadam, B. T. G\"ansicke, P. Szkody, A. Aungwerojwit, Steve B. Howell, O. J. Fraser and N. M. Silvestri
Discovery of two new accreting pulsating white dwarf stars
7 pages, 4 figures, accepted for publication in ApJ
Astrophys.J.667:433-441,2007
10.1086/520700
null
astro-ph
null
We report the discovery of two new accreting pulsating white dwarf stars amongst the cataclysmic variables of the Sloan Digital Sky Survey: SDSSJ074531.91+453829.5 and SDSSJ091945.10+085710.0. We observe high amplitude non-sinusoidal variations of 4.5-7% at a period close to 1230s in the optical light curves of SDSSJ074531.91+453829.5 and a low amplitude variation of 0.7-1.6% near 260s in the light curves of SDSSJ091945.10+085710.0. We infer that these optical variations are a consequence of nonradial g-mode pulsations in the accreting primary white dwarfs of these cataclysmic variables. However we cannot rule out the remote possibility that the 260s period could be the spin period of the accreting white dwarf SDSSJ091945.10+085710.0. We also uncovered a non-variable SDSSJ171145.08+301320.0 during our search; our two observing runs exclude any pulsation related periodicities in the range of 85-1400s with an amplitude greater than or equal to 0.5%. This discovery paper brings the total number of known accreting white dwarf pulsators to eleven.
[ { "version": "v1", "created": "Mon, 16 Jul 2007 18:38:10 GMT" } ]
2009-06-23T00:00:00
[ [ "Mukadam", "Anjum S.", "" ], [ "Gänsicke", "B. T.", "" ], [ "Szkody", "P.", "" ], [ "Aungwerojwit", "A.", "" ], [ "Howell", "Steve B.", "" ], [ "Fraser", "O. J.", "" ], [ "Silvestri", "N. M.", "" ] ]
0707.2095
Ludovic Berthier
Pinaki Chaudhuri, Ludovic Berthier, Walter Kob
Universal nature of particle displacements close to glass and jamming transitions
5 pages; 4 figs
Phys. Rev. Lett. 99, 060604 (2007)
10.1103/PhysRevLett.99.060604
null
cond-mat.stat-mech
null
We examine the structure of the distribution of single particle displacements (van-Hove function) in a broad class of materials close to glass and jamming transitions. In a wide time window comprising structural relaxation, van-Hove functions reflect the coexistence of slow and fast particles (dynamic heterogeneity). The tails of the distributions exhibit exponential, rather than Gaussian, decay. We argue that this behavior is universal in glassy materials and should be considered the analog, in space, of the stretched exponential decay of time correlation functions. We introduce a dynamical model that describes quantitatively numerical and experimental data in supercooled liquids, colloidal hard spheres and granular materials. The tails of the distributions directly explain the decoupling between translational diffusion and structural relaxation observed in glassy materials.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 21:18:29 GMT" } ]
2009-11-13T00:00:00
[ [ "Chaudhuri", "Pinaki", "" ], [ "Berthier", "Ludovic", "" ], [ "Kob", "Walter", "" ] ]
0707.2096
Daniel A. Lidar
Hari Krovi, Ognyan Oreshkov, Mikhail Ryazanov, Daniel A. Lidar (USC)
Non-Markovian dynamics of a qubit coupled to an Ising spin bath
17 pages, 16 figures
Phys. Rev. A 76, 052117 (2007)
10.1103/PhysRevA.76.052117
null
quant-ph
null
We study the analytically solvable Ising model of a single qubit system coupled to a spin bath. The purpose of this study is to analyze and elucidate the performance of Markovian and non-Markovian master equations describing the dynamics of the system qubit, in comparison to the exact solution. We find that the time-convolutionless master equation performs particularly well up to fourth order in the system-bath coupling constant, in comparison to the Nakajima-Zwanzig master equation. Markovian approaches fare poorly due to the infinite bath correlation time in this model. A recently proposed post-Markovian master equation performs comparably to the time-convolutionless master equation for a properly chosen memory kernel, and outperforms all the approximation methods considered here at long times. Our findings shed light on the applicability of master equations to the description of reduced system dynamics in the presence of spin-baths.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 21:19:44 GMT" } ]
2007-12-04T00:00:00
[ [ "Krovi", "Hari", "", "USC" ], [ "Oreshkov", "Ognyan", "", "USC" ], [ "Ryazanov", "Mikhail", "", "USC" ], [ "Lidar", "Daniel A.", "", "USC" ] ]
0707.2097
Israel Quiros
Tame Gonzalez, Rolando Cardenas, Israel Quiros, Yoelsy Leyva
Evolution of density perturbations in double exponential quintessence models
5 pages, 3 eps figures
Astrophys.Space Sci.310:13-18,2007
10.1007/s10509-007-9389-8
null
astro-ph
null
In this work we investigate the evolution of matter density perturbations for quintessence models with a self-interaction potential that is a combination of exponentials. One of the models is based on the Einstein theory of gravity, while the other is based on the Brans-Dicke scalar tensor theory. We constrain the parameter space of the models using the determinations for the growth rate of perturbations derived from data of the 2-degree Field Galaxy Redshift Survey.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 21:24:26 GMT" } ]
2009-06-23T00:00:00
[ [ "Gonzalez", "Tame", "" ], [ "Cardenas", "Rolando", "" ], [ "Quiros", "Israel", "" ], [ "Leyva", "Yoelsy", "" ] ]
0707.2098
Florentin Smarandache
Florentin Smarandache
Conjectures on Partitions of Integers as Summations of Primes
3 pages
Published in "Collected Papers", Vol. II, by F. Smarandache, Moldova State University Press at Kishinev, p. 190, 1997
null
null
math.GM
null
In this short note we present a class of conjectures on partitions of integers as summations of primes, which are extensions of Goldbach conjecture.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 21:24:43 GMT" } ]
2007-07-17T00:00:00
[ [ "Smarandache", "Florentin", "" ] ]
0707.2099
Douglas A. Swartz
Pavel K. Abolmasov, Douglas A. Swartz, S. Fabrika, Kajal K. Ghosh, O. Sholukhova, and Allyn F. Tennant
Optical Spectroscopy of the environment of a ULX in NGC 7331
17 pages, accepted to ApJ
null
10.1086/520828
null
astro-ph
null
Optical photometric and spectroscopic data are presented that show an association of an ultraluminous X-ray source in NGC 7331 with a young star cluster of mass 1.1e5 solar masses and age 4.25 Myr. If the ULX is part of the bright stellar cluster, then the mass of the progenitor of the compact accretor must have been greater than about 40-50 solar masses in order to already have evolved through the supernova stage to a compact object. The companion star is also likely an evolved massive star. The emission line spectrum of the nebula surrounding the cluster can be interpreted as a result of photoionization by the cluster OB stars with an additional source of shock excitation producing strong [SII], [OI] and NII lines. This additional source appears to be as much as five times more powerful than the supernovae and stellar winds in the cluster can provide. Additional mechanical energy input associated with the ULX itself can help explain the residual shock excited line luminosities of the emission region.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 21:27:44 GMT" } ]
2009-11-13T00:00:00
[ [ "Abolmasov", "Pavel K.", "" ], [ "Swartz", "Douglas A.", "" ], [ "Fabrika", "S.", "" ], [ "Ghosh", "Kajal K.", "" ], [ "Sholukhova", "O.", "" ], [ "Tennant", "Allyn F.", "" ] ]
0707.2100
Niccolo' Bucciantini
N. Bucciantini (1), E. Quataert (1), J. Arons (1), B. D. Metzger (1), Todd A. Thompson (2) ((1)Astronomy Department, UC Berkeley, (2)Department of Astrophysical Sciences, Princeton)
Relativistic Jets and Long-Duration Gamma-ray Bursts from the Birth of Magnetars
5 pages, 3 figures, accepted in MNRAS letter, presented at the conference "Astrophysics of Compact Objects", 1-7 July, Huangshan, China
null
10.1111/j.1745-3933.2007.00403.x
null
astro-ph
null
We present time-dependent axisymmetric magnetohydrodynamic simulations of the interaction of a relativistic magnetized wind produced by a proto-magnetar with a surrounding stellar envelope, in the first $\sim 10$ seconds after core collapse. We inject a super-magnetosonic wind with $\dot E = 10^{51}$ ergs s$^{-1}$ into a cavity created by an outgoing supernova shock. A strong toroidal magnetic field builds up in the bubble of plasma and magnetic field that is at first inertially confined by the progenitor star. This drives a jet out along the polar axis of the star, even though the star and the magnetar wind are each spherically symmetric. The jet has the properties needed to produce a long-duration gamma-ray burst (GRB). At $\sim 5$ s after core bounce, the jet has escaped the host star and the Lorentz factor of the material in the jet at large radii $\sim 10^{11}$ cm is similar to that in the magnetar wind near the source. Most of the spindown power of the central magnetar escapes via the relativistic jet. There are fluctuations in the Lorentz factor and energy flux in the jet on $\sim 0.01-0.1$ second timescale. These may contribute to variability in GRB emission (e.g., via internal shocks).
[ { "version": "v1", "created": "Fri, 13 Jul 2007 21:27:55 GMT" }, { "version": "v2", "created": "Wed, 26 Sep 2007 22:21:38 GMT" } ]
2009-11-13T00:00:00
[ [ "Bucciantini", "N.", "" ], [ "Quataert", "E.", "" ], [ "Arons", "J.", "" ], [ "Metzger", "B. D.", "" ], [ "Thompson", "Todd A.", "" ] ]
0707.2101
Bennie F. L. Ward
B.F.L. Ward (1) ((1) Baylor University, Waco, TX, USA)
Quark Masses and Resummation in Precision QCD Theory
12 pages, 2 figures; corrected misprint; added material to clarify text
Phys.Rev.D78:056001,2008
10.1103/PhysRevD.78.056001
BU-HEPP-07-04
hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
It is shown that amplitude-based, exact resummation tames the un-cancelled IR divergences at O(alpha_s^2) in initial state radiation in QCD with massive quarks. Implications for precision predictions for LHC physics are discussed.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 18:06:56 GMT" }, { "version": "v2", "created": "Sat, 27 Oct 2007 16:18:30 GMT" }, { "version": "v3", "created": "Wed, 24 Sep 2008 19:04:50 GMT" } ]
2008-11-07T00:00:00
[ [ "Ward", "B. F. L.", "", "Baylor University, Waco, TX, USA" ] ]
0707.2102
Francesco-Luigi Navarria
S. Ask, V. Hedberg and F.-L. Navarria (DELPHI Collaboration)
Search for one large extra dimension with the DELPHI detector at LEP2
10 pages, 2 figures, contributed to Lepton Photon 2007, Daegu, Korea
null
null
null
hep-ex
null
Single photons detected by the DELPHI experiment at LEP2 in the years 1997-2000 are used to investigate the existence of a single extra dimension in a modifed ADD scenario with slightly warped large extra dimensions. The data collected at centre-of-mass energies between 180 and 209 GeV for an integrated luminosity of ~650 pb^-1 agree with the predictions of the Standard Model and allow a limit to be set on graviton emission in one large extra dimension. The limit obtained on the fundamental mass scale MD is 1.69 TeV at 95% CL, with an expected limit of 1.71 TeV.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 21:37:01 GMT" } ]
2007-07-17T00:00:00
[ [ "Ask", "S.", "", "DELPHI Collaboration" ], [ "Hedberg", "V.", "", "DELPHI Collaboration" ], [ "Navarria", "F. -L.", "", "DELPHI Collaboration" ] ]
0707.2103
John Stansberry
J. A. Stansberry, K. D. Gordon, B. Bhattacharya, C. W. Engelbracht, G. H. Rieke, F. R. Marleau, D. Fadda, D. T. Frayer, A. Noriega-Crespo, S. Wachter, E. T. Young, T. G. Mueller, D. M. Kelly, M. Blaylock, D. Henderson, G. Neugebauer, J. W. Beeman, E. E. Haller
Absolute Calibration and Characterization of the Multiband Imaging Photometer for Spitzer. III. An Asteroid-based Calibration of MIPS at 160 microns
33 pages, 6 figures, 4 tables Accepted to PASP, 2007-07-19
null
10.1086/521880
null
astro-ph
null
We describe the absolute calibration of the Multiband Imaging Photometer for Spitzer (MIPS) 160 micron channel. After the on-orbit discovery of a near-IR ghost image that dominates the signal for sources hotter than about 2000 K, we adopted a strategy utilizing asteroids to transfer the absolute calibrations of the MIPS 24 and 70 micron channels to the 160 micron channel. Near-simultaneous observations at all three wavelengths are taken, and photometry at the two shorter wavelengths is fit using the Standard Thermal Model. The 160 micron flux density is predicted from those fits and compared with the observed 160 micron signal to derive the conversion from instrumental units to surface brightness. The calibration factor we derive is 41.7 MJy/sr/MIPS160 (MIPS160 being the instrumental units). The scatter in the individual measurements of the calibration factor, as well as an assesment of the external uncertainties inherent in the calibration, lead us to adopt an uncertainty of 5.0 MJy/sr/MIPS160 (12%) for the absolute uncertainty on the 160 micron flux density of a particular source as determined from a single measurement. For sources brighter than about 2 Jy, non-linearity in the response of the 160 micron detectors produces an under-estimate of the flux density: for objects as bright as 4 Jy, measured flux densities are likely to be ~20% too low. This calibration has been checked against that of ISO (using ULIRGS) and IRAS (using IRAS-derived diameters), and is consistent with those at the 5% level.
[ { "version": "v1", "created": "Mon, 16 Jul 2007 17:35:03 GMT" }, { "version": "v2", "created": "Tue, 24 Jul 2007 16:48:42 GMT" } ]
2009-11-13T00:00:00
[ [ "Stansberry", "J. A.", "" ], [ "Gordon", "K. D.", "" ], [ "Bhattacharya", "B.", "" ], [ "Engelbracht", "C. W.", "" ], [ "Rieke", "G. H.", "" ], [ "Marleau", "F. R.", "" ], [ "Fadda", "D.", "" ], [ "Frayer", "D. T.", "" ], [ "Noriega-Crespo", "A.", "" ], [ "Wachter", "S.", "" ], [ "Young", "E. T.", "" ], [ "Mueller", "T. G.", "" ], [ "Kelly", "D. M.", "" ], [ "Blaylock", "M.", "" ], [ "Henderson", "D.", "" ], [ "Neugebauer", "G.", "" ], [ "Beeman", "J. W.", "" ], [ "Haller", "E. E.", "" ] ]
0707.2104
Jeff E. Sonier
J.E. Sonier, F.D. Callaghan, Y. Ando, R.F. Kiefl, J.H. Brewer, C.V. Kaiser, V. Pacradouni, S.A. Sabok-Sayr, X.F. Sun, S. Komiya, W.N. Hardy, D.A. Bonn, R. Liang
Spin-glass state of vortices in YBa2Cu3Oy and La2-xSrxCuO4 below the metal-to-insulator crossover
9 pages, 9 figures
Phys. Rev. B 76, 064522 (2007)
10.1103/PhysRevB.76.064522
null
cond-mat.supr-con
null
Highly disordered magnetism confined to individual weakly interacting vortices is detected by muon spin rotation in two different families of high-transition-temperature superconductors, but only in samples on the low-doping side of the low-temperature normal state metal-to-insulator crossover (MIC). The results support an extended quantum phase transition (QPT) theory of competing magnetic and superconducting orders that incorporates the coupling between CuO2 planes. Contrary to what has been inferred from previous experiments, the static magnetism that coexists with superconductivity near the field-induced QPT is not ordered. Our findings unravel the mystery of the MIC and establish that the normal state of high-temperature superconductors is ubiquitously governed by a magnetic quantum critical point in the superconducting phase.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 22:06:39 GMT" } ]
2010-12-06T00:00:00
[ [ "Sonier", "J. E.", "" ], [ "Callaghan", "F. D.", "" ], [ "Ando", "Y.", "" ], [ "Kiefl", "R. F.", "" ], [ "Brewer", "J. H.", "" ], [ "Kaiser", "C. V.", "" ], [ "Pacradouni", "V.", "" ], [ "Sabok-Sayr", "S. A.", "" ], [ "Sun", "X. F.", "" ], [ "Komiya", "S.", "" ], [ "Hardy", "W. N.", "" ], [ "Bonn", "D. A.", "" ], [ "Liang", "R.", "" ] ]
0707.2105
J\"orn Wilms
G. Sch\"onherr (1,2,3), J. Wilms (2), P. Kretschmar (3), I. Kreykenbohm (1,4), A. Santangelo (1), R. E. Rothschild (5), W. Coburn (6), R. Staubert (1) ((1) IAA T\"ubingen, (2) Remeis-Observatory Bamberg, (3) ESA-ESAC, Madrid, (4) ISDC, (5) CASS UC San Diego, (6) SSL UC Berkeley)
A model for cyclotron resonance scattering features
16 pages, 15 figures, Astron. Astrophys. (in press)
null
10.1051/0004-6361:20077218
null
astro-ph
null
(abbreviated version of the abstract) We study the physics of cyclotron line formation in the high-energy spectra of accreting X-ray pulsars using Monte Carlo methods, assuming that the line-forming region is a low-density electron plasma in a sub-critical magnetic field. We investigate the dependence of the shape of the fundamental line on angle, geometry, optical depth and temperature. We also discuss variations of the line ratios for non-uniform magnetic fields. These numerical predictions for the line profiles are linked to results from observational data analysis using an XSPEC model based on the Monte Carlo simulations. We apply this model to observational data from RXTE and INTEGRAL. The predicted strong emission wings of the fundamental cyclotron feature are not found in observational data, hinting at a bottom illuminated slab geometry for line formation.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 22:08:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Schönherr", "G.", "" ], [ "Wilms", "J.", "" ], [ "Kretschmar", "P.", "" ], [ "Kreykenbohm", "I.", "" ], [ "Santangelo", "A.", "" ], [ "Rothschild", "R. E.", "" ], [ "Coburn", "W.", "" ], [ "Staubert", "R.", "" ] ]
0707.2106
Geraint F. Lewis
Geraint F. Lewis, Matthew J. Francis, Luke A. Barnes, J. Berian James
Coordinate Confusion in Conformal Cosmology
5 pages, accepted for publication in MNRAS Letters
Mon.Not.Roy.Astron.Soc.381:L50-L54,2007
10.1111/j.1745-3933.2007.00364.x
GFL-001
astro-ph
null
A straight-forward interpretation of standard Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmologies is that objects move apart due to the expansion of space, and that sufficiently distant galaxies must be receding at velocities exceeding the speed of light. Recently, however, it has been suggested that a simple transformation into conformal coordinates can remove superluminal recession velocities, and hence the concept of the expansion of space should be abandoned. This work demonstrates that such conformal transformations do not eliminate superluminal recession velocities for open or flat matter-only FRLW cosmologies, and all possess superluminal expansion. Hence, the attack on the concept of the expansion of space based on this is poorly founded. This work concludes by emphasizing that the expansion of space is perfectly valid in the general relativistic framework, however, asking the question of whether space really expands is a futile exercise.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 22:18:19 GMT" } ]
2009-11-13T00:00:00
[ [ "Lewis", "Geraint F.", "" ], [ "Francis", "Matthew J.", "" ], [ "Barnes", "Luke A.", "" ], [ "James", "J. Berian", "" ] ]
0707.2107
Mark Dykman
C. Hicke and M. I. Dykman
Multiphoton antiresonance in large-spin systems
Submitted to PRB
null
10.1103/PhysRevB.76.054436
null
cond-mat.mes-hall
null
We study nonlinear response of a spin $S>1/2$ with easy-axis anisotropy. The response displays sharp dips or peaks when the modulation frequency is adiabatically swept through multiphoton resonance. The effect is a consequence of a special symmetry of the spin dynamics in a magnetic field for the anisotropy energy $\propto S_z^2$. The occurrence of the dips or peaks is determined by the spin state. Their shape strongly depends on the modulation amplitude. Higher-order anisotropy breaks the symmetry, leading to sharp steps in the response as function of frequency. The results bear on the dynamics of molecular magnets in a static magnetic field.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 22:20:16 GMT" } ]
2009-11-13T00:00:00
[ [ "Hicke", "C.", "" ], [ "Dykman", "M. I.", "" ] ]
0707.2108
Volker Elling
Volker Elling, Tai-Ping Liu
Supersonic flow onto a solid wedge
105 pages; 22 figures
null
null
null
math-ph math.MP
null
We consider the problem of 2D supersonic flow onto a solid wedge, or equivalently in a concave corner formed by two solid walls. For mild corners, there are two possible steady state solutions, one with a strong and one with a weak shock emanating from the corner. The weak shock is observed in supersonic flights. A long-standing natural conjecture is that the strong shock is unstable in some sense. We resolve this issue by showing that a sharp wedge will eventually produce weak shocks at the tip when accelerated to a supersonic speed. More precisely we prove that for upstream state as initial data in the entire domain, the time-dependent solution is self-similar, with a weak shock at the tip of the wedge. We construct analytic solutions for self-similar potential flow, both isothermal and isentropic with arbitrary $\gamma\geq 1$. In the process of constructing the self-similar solution, we develop a large number of theoretical tools for these elliptic regions. These tools allow us to establish large-data results rather than a small perturbation. We show that the wave pattern persists as long as the weak shock is supersonic-supersonic; when this is no longer true, numerics show a physical change of behaviour. In addition we obtain rather detailed information about the elliptic region, including analyticity as well as bounds for velocity components and shock tangents.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 21:49:37 GMT" }, { "version": "v2", "created": "Wed, 18 Jul 2007 11:54:13 GMT" }, { "version": "v3", "created": "Wed, 5 Sep 2007 21:29:39 GMT" }, { "version": "v4", "created": "Fri, 7 Sep 2007 22:33:47 GMT" } ]
2009-09-29T00:00:00
[ [ "Elling", "Volker", "" ], [ "Liu", "Tai-Ping", "" ] ]
0707.2109
Peter Blair Blakie
P. B. Blakie and Wen-Xin Wang
Bose-Einstein condensation in an optical lattice
10 pages, 5 figures
Phys. Rev. A 76, 053620 (2007)
10.1103/PhysRevA.76.053620
null
cond-mat.other
null
In this paper we develop an analytic expression for the critical temperature for a gas of ideal bosons in a combined harmonic lattice potential, relevant to current experiments using optical lattices. We give corrections to the critical temperature arising from effective mass modifications of the low energy spectrum, finite size effects and excited band states. We compute the critical temperature using numerical methods and compare to our analytic result. We study condensation in an optical lattice over a wide parameter regime and demonstrate that the critical temperature can be increased or reduced relative to the purely harmonic case by adjusting the harmonic trap frequency. We show that a simple numerical procedure based on a piecewise analytic density of states provides an accurate prediction for the critical temperature.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 23:21:34 GMT" } ]
2008-01-11T00:00:00
[ [ "Blakie", "P. B.", "" ], [ "Wang", "Wen-Xin", "" ] ]
0707.2110
Jeff Achter
Jeff Achter and Rachel Pries
Monodromy of the p-rank strata of the moduli space of curves
null
Int. Math. Res. Not. IMRN 2008, no. 15, Art. ID rnn053
10.1093/imrn/rnn053
null
math.NT math.AG
null
We compute the Z/\ell and \ell-adic monodromy of every irreducible component of the moduli space M_g^f of curves of genus and and p-rank f. In particular, we prove that the Z/\ell-monodromy of every component of M_g^f is the symplectic group Sp_{2g}(Z/\ell) if g>=3 and \ell is a prime distinct from p. We give applications to the generic behavior of automorphism groups, Jacobians, class groups, and zeta functions of curves of given genus and p-rank.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 23:16:03 GMT" }, { "version": "v2", "created": "Wed, 28 May 2008 22:45:32 GMT" } ]
2020-02-27T00:00:00
[ [ "Achter", "Jeff", "" ], [ "Pries", "Rachel", "" ] ]
0707.2111
Stefan Faelt
Stefan Falt, Mete Atature, Hakan E. Tureci, Yong Zhao, Antonio Badolato, Atac Imamoglu
Strong Electron-Hole Exchange in Coherently Coupled Quantum Dots
10 pages, 3 figures
null
10.1103/PhysRevLett.100.106401
null
cond-mat.mes-hall
null
We have investigated few-body states in vertically stacked quantum dots. Due to small inter-dot tunneling rate, the coupling in our system is in a previously unexplored regime where electron-hole exchange is the dominant spin interaction. By tuning the gate bias, we are able to turn this coupling off and study a complementary regime where total electron spin is a good quantum number. The use of differential transmission allows us to obtain unambiguous signatures of the interplay between electron and hole spin interactions. Small tunnel coupling also enables us to demonstrate all-optical charge sensing, where conditional exciton energy shift in one dot identifies the charging state of the coupled partner.
[ { "version": "v1", "created": "Mon, 16 Jul 2007 18:26:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Falt", "Stefan", "" ], [ "Atature", "Mete", "" ], [ "Tureci", "Hakan E.", "" ], [ "Zhao", "Yong", "" ], [ "Badolato", "Antonio", "" ], [ "Imamoglu", "Atac", "" ] ]
0707.2112
Valery Rupasov
Valery I. Rupasov and Victor I. Klimov
Carrier Multiplication in Nanocrystals via Photostimulated Generation of Biexcitons from Vacuum
15 pages, 3 figures
null
null
null
cond-mat.mes-hall cond-mat.mtrl-sci cond-mat.other
null
We propose a novel mechanism for photogeneration of multiexcitons by single photons (carrier multiplication) in semiconductor nanocrystals. In this mechanism, the Coulomb interaction between two valence-band electrons involving their transfer to the conduction band creates a virtual biexciton from vacuum that is then converted into a real biexciton by photon absorption on an intraband optical transition. This mechanism is inactive in bulk semiconductors as momentum conservation suppresses intraband absorption. However, it becomes highly efficient in zero-dimensional nanocrystals and can provide a significant contribution to carrier multiplication in these materials.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 23:35:17 GMT" } ]
2007-07-17T00:00:00
[ [ "Rupasov", "Valery I.", "" ], [ "Klimov", "Victor I.", "" ] ]
0707.2113
Xinjia Chen
Xinjia Chen
Exact Computation of Minimum Sample Size for Estimation of Binomial Parameters
18 pages, no figures, removed typos
null
null
null
math.ST math.PR stat.ME stat.TH
null
It is a common contention that it is an ``impossible mission'' to exactly determine the minimum sample size for the estimation of a binomial parameter with prescribed margin of error and confidence level. In this paper, we investigate such a very old but also extremely important problem and demonstrate that the difficulty for obtaining the exact solution is not insurmountable. Unlike the classical approximate sample size method based on the central limit theorem, we develop a new approach for computing the minimum sample size that does not require any approximation. Moreover, our approach overcomes the conservatism of existing rigorous sample size methods derived from Bernoulli's theorem or Chernoff bounds. Our computational machinery consists of two essential ingredients. First, we prove that the minimum of coverage probability with respect to a binomial parameter bounded in an interval is attained at a discrete set of finite many values of the binomial parameter. This allows for reducing infinite many evaluations of coverage probability to finite many evaluations. Second, a recursive bounding technique is developed to further improve the efficiency of computation.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 02:05:59 GMT" }, { "version": "v2", "created": "Thu, 2 Aug 2007 20:55:50 GMT" } ]
2007-08-02T00:00:00
[ [ "Chen", "Xinjia", "" ] ]
0707.2114
Kengo Matsumoto
Kengo Matsumoto
Orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras
26 pages
null
null
null
math.OA math.DS
null
We will prove that one-sided topological Markov shifts $(X_A,\sigma_A)$ and $(X_B,\sigma_B)$ for matrices $A$ and $B$ with entries in $\{0,1\}$ are topologically orbit equivalent if and only if there exists an isomorphism between the Cuntz-Krieger algebras ${\Cal O}_A$ and ${\Cal O}_B$ keeping their commutative $C^*$-subalgerbas $C(X_A)$ and $C(X_B)$. It is also equivalent to the condition that there exists a homeomorphism from $X_A$ to $X_B$ intertwining their topological full groups. We will also study structure of the automorphisms of ${\Cal O}_A$ keeping the commutative $C^*$-algebra $C(X_A)$.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 01:19:49 GMT" } ]
2007-07-17T00:00:00
[ [ "Matsumoto", "Kengo", "" ] ]
0707.2115
Xinjia Chen
Xinjia Chen
Exact Computation of Minimum Sample Size for Estimating Proportion of Finite Population
13 pages, no figure, fixed typos
null
null
null
math.ST math.PR stat.ME stat.TH
null
In this paper, we develop an exact method for the determination of the minimum sample size for estimating the proportion of a finite population with prescribed margin of error and confidence level. By characterizing the behavior of the coverage probability with respect to the proportion, we show that the computational complexity can be significantly reduced and bounded regardless population size.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 02:14:16 GMT" }, { "version": "v2", "created": "Tue, 17 Jul 2007 02:32:09 GMT" }, { "version": "v3", "created": "Sat, 21 Jul 2007 14:57:22 GMT" }, { "version": "v4", "created": "Thu, 2 Aug 2007 21:32:28 GMT" } ]
2007-08-03T00:00:00
[ [ "Chen", "Xinjia", "" ] ]
0707.2116
Xinjia Chen
Xinjia Chen
Exact Computation of Minimum Sample size for Estimation of Poisson Parameters
10 pages, no figure, revised the last paragraph of page 3
null
null
null
math.ST math.PR stat.ME stat.TH
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we develop an approach for the exact determination of the minimum sample size for the estimation of a Poisson parameter with prescribed margin of error and confidence level. The exact computation is made possible by reducing infinite many evaluations of coverage probability to finite many evaluations. Such reduction is based on our discovery that the minimum of coverage probability with respect to a Poisson parameter bounded in an interval is attained at a discrete set of finite many values.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 02:19:04 GMT" }, { "version": "v2", "created": "Thu, 2 Aug 2007 21:01:46 GMT" }, { "version": "v3", "created": "Thu, 19 Jun 2008 19:09:49 GMT" } ]
2008-06-19T00:00:00
[ [ "Chen", "Xinjia", "" ] ]
0707.2117
Benny Sudakov
Benny Sudakov and Jacques Verstraete
Cycle lengths in sparse graphs
null
null
null
null
math.CO
null
Let C(G) denote the set of lengths of cycles in a graph G. In the first part of this paper, we study the minimum possible value of |C(G)| over all graphs G of average degree d and girth g. Erdos conjectured that |C(G)| =\Omega(d^{\lfloor (g-1)/2\rfloor}) for all such graphs, and we prove this conjecture. In particular, the longest cycle in a graph of average degree d and girth g has length \Omega(d^{\lfloor (g-1)/2\rfloor}). The study of this problem was initiated by Ore in 1967 and our result improves all previously known lower bounds on the length of the longest cycle. Moreover, our bound cannot be improved in general, since known constructions of d-regular Moore Graphs of girth g have roughly that many vertices. We also show that \Omega(d^{\lfloor (g-1)/2\rfloor}) is a lower bound for the number of odd cycle lengths in a graph of chromatic number d and girth g. Further results are obtained for the number of cycle lengths in H-free graphs of average degree d. In the second part of the paper, motivated by the conjecture of Erdos and Gyarfas that every graph of minimum degree at least three contains a cycle of length a power of two, we prove a general theorem which gives an upper bound on the average degree of an n-vertex graph with no cycle of even length in a prescribed infinite sequence of integers. For many sequences, including the powers of two, our theorem gives the upper bound e^{O(\log^* n)} on the average degree of graph of order n with no cycle of length in the sequence, where \log^* n is the number of times the binary logarithm must be applied to n to get a number which is at most
[ { "version": "v1", "created": "Sat, 14 Jul 2007 02:24:00 GMT" } ]
2007-07-17T00:00:00
[ [ "Sudakov", "Benny", "" ], [ "Verstraete", "Jacques", "" ] ]
0707.2118
Victor H. Moll
Tewodros Amdeberhan and Victor H. Moll
A formula for a quartic integral: a survey of old proofs and some new ones
10 pages
null
null
null
math.CA
null
We discuss several existing proofs of the value of a quartic integral and present a new proof that evolved from rational Landen transformations.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 03:03:31 GMT" } ]
2007-07-17T00:00:00
[ [ "Amdeberhan", "Tewodros", "" ], [ "Moll", "Victor H.", "" ] ]
0707.2119
Victor H. Moll
Tewodros Amdeberhan, Dante Manna and Victor H. Moll
The 2-adic valuation of a sequence arising from a rational integral
16 pages, 6 figures
null
null
null
math.NT math.CO
null
We analyze properties of the 2-adic valuations of an integer sequence that originates from an explicit evaluation of a quartic integral. We also give a combinatorial interpretation of the valuations of this sequence. Connections with the orbits arising from the Collatz (3x+1) problem are discussed.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 03:35:59 GMT" } ]
2007-07-17T00:00:00
[ [ "Amdeberhan", "Tewodros", "" ], [ "Manna", "Dante", "" ], [ "Moll", "Victor H.", "" ] ]
0707.2120
Yoshiko Kanada-En'yo
Yoshiko Kanada-En'yo
Dineutron structure in $^{8}$He
12 pages, 5 figures, submitted to PRC
Phys.Rev.C76:044323,2007
10.1103/PhysRevC.76.044323
null
nucl-th
null
The ground and excited states of $^{8}$He were investigated with a method of antisymmetrized molecular dynamics(AMD). We adopted effective nuclear interactions which systematically reproduce the binding energies of $^4$He, $^6$He and $^8$He. The ground state of $^8$He has both the $j$-$j$ coupling feature($p_{3/2}$ closure) and the $L$-$S$ coupling feature($^4$He$+2n+2n$) with a slight tail of dineutron at the long distance region. The theoretical results give an indication of the $0^+_2$ state with dineutron gas-like structure. The dineutron structure, $^4$He+$2n$+$2n$, of this state is similar to the $3\alpha$-cluster structure of the $^{12}$C($0^+_2$) state which has been interpreted as an $\alpha$ condensate state. Since the $^8$He($0^+_2$) state has a significant overlap with the dineutron condensate wave function where two dineutrons are moving in $S$ wave around the $\alpha$ core with a dilute density, we suggest that this theoretically predicted $0^+_2$ state is a candidate of the dineutron condensate state.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 04:12:11 GMT" } ]
2008-11-26T00:00:00
[ [ "Kanada-En'yo", "Yoshiko", "" ] ]
0707.2121
Victor H. Moll
Victor H. Moll
The integrals in Gradshteyn and Ryzhik. Part 6: the beta function
14 pages
null
null
null
math.CA
null
We present the evaluation of definite integrals in the classical table by I. S. Gradshteyn and I. M. Ryzhik that can be reduced to the beta function.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 04:16:31 GMT" } ]
2007-07-17T00:00:00
[ [ "Moll", "Victor H.", "" ] ]
0707.2122
Victor H. Moll
Tewodros Amdeberhan and Victor H. Moll
The integrals in Gradshteyn and Ryzhik. Part 7: Elementary examples
14 pages
null
null
null
math.CA
null
The classical table of integrals by I. S. Gradshteyn and I. M. Ryzhik contains some elementary integrals. We discuss their evaluations.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 04:23:01 GMT" } ]
2007-07-17T00:00:00
[ [ "Amdeberhan", "Tewodros", "" ], [ "Moll", "Victor H.", "" ] ]
0707.2123
Victor H. Moll
Victor H. Moll, Jason Rosenberg, Armin Straub and Pat Whitworth
The integrals in Gradshteyn and Ryzhik. Part 8: Combinations of powers, exponentials and logarithms
9 pages
null
null
null
math.CA
null
We present the evaluation of some definite integrals in the classical table by I. S. Gradshteyn and I. M. Ryzhik where the integrand is a combination of powers, exponentials and logarithms.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 04:30:11 GMT" } ]
2007-07-17T00:00:00
[ [ "Moll", "Victor H.", "" ], [ "Rosenberg", "Jason", "" ], [ "Straub", "Armin", "" ], [ "Whitworth", "Pat", "" ] ]
0707.2124
Victor H. Moll
Tewodros Amdeberhan, Victor H. Moll, Jason Rosenberg, Armin Straub and Pat Whitworth
The integrals in Gradshteyn and Ryzhik. Part9: Combinations of logarithms, rational and trigonometric functions
16 pages
null
null
null
math.CA
null
The classical table of integrals by I. S. Gradshteyn and I. M. Ryzhik contains many definite integrals where the integrand is the product of a rational function times the logarithm of another rational function. We begin the systematic evaluation of these integrals.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 04:36:46 GMT" } ]
2007-07-17T00:00:00
[ [ "Amdeberhan", "Tewodros", "" ], [ "Moll", "Victor H.", "" ], [ "Rosenberg", "Jason", "" ], [ "Straub", "Armin", "" ], [ "Whitworth", "Pat", "" ] ]
0707.2125
Guy Roos
Antonio J. Di Scala (Torino, Italy), Andrea Loi (Cagliari, Italy), Guy Roos (St Petersburg, Russian Federation)
The bisymplectomorphism group of a bounded symmetric domain
19 pages. Version 2: minor corrections
Transform. Groups 13, No. 2, 283-304 (2008)
null
null
math.DG math.CV
null
An Hermitian bounded symmetric domain in a complex vector space, given in its circled realization, is endowed with two natural symplectic forms: the flat form and the hyperbolic form. In a similar way, the ambient vector space is also endowed with two natural symplectic forms: the Fubini-Study form and the flat form. It has been shown in arXiv:math.DG/0603141 that there exists a diffeomorphism from the domain to the ambient vector space which puts in correspondence the above pair of forms. This phenomenon is called symplectic duality for Hermitian non compact symmetric spaces. In this article, we first give a different and simpler proof of this fact. Then, in order to measure the non uniqueness of this symplectic duality map, we determine the group of bisymplectomorphisms of a bounded symmetric domain, that is, the group of diffeomorphisms which preserve simultaneously the hyperbolic and the flat symplectic form. This group is the direct product of the compact Lie group of linear automorphisms with an infinite-dimensional Abelian group. This result appears as a kind of Schwarz lemma.
[ { "version": "v1", "created": "Mon, 16 Jul 2007 03:25:10 GMT" }, { "version": "v2", "created": "Sat, 23 Feb 2008 05:34:43 GMT" } ]
2008-12-13T00:00:00
[ [ "Di Scala", "Antonio J.", "", "Torino, Italy" ], [ "Loi", "Andrea", "", "Cagliari, Italy" ], [ "Roos", "Guy", "", "St Petersburg, Russian Federation" ] ]
0707.2126
Vahan Mkrtchyan
R.R. Kamalian, V. V. Mkrtchyan
On complexity of special maximum matchings constructing
12 pages, 8 figures. Discrete Mathematics, to appear
Discrete Mathematics, 2008, Vol 308/10 pp 1792-1800
10.1016/j.disc.2007.04.029
null
cs.DM
null
For bipartite graphs the NP-completeness is proved for the problem of existence of maximum matching which removal leads to a graph with given lower(upper)bound for the cardinality of its maximum matching.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 05:05:34 GMT" } ]
2008-03-08T00:00:00
[ [ "Kamalian", "R. R.", "" ], [ "Mkrtchyan", "V. V.", "" ] ]
0707.2127
Deok-Yong Cho
Deok-Yong Cho, Jae-Min Lee, S.-J. Oh, Hoyoung Jang, J.-Y. Kim, J.-H. Park, A. Tanaka
Influence of oxygen vacancy on the electronic structure of HfO$_2$ film
5 pages, 4 figures, submitted to Phys. Rev. B
null
10.1103/PhysRevB.76.165411
null
cond-mat.mtrl-sci
null
We investigated the unoccupied part of the electronic structure of the oxygen-deficient hafnium oxide (HfO$_{\sim1.8}$) using soft x-ray absorption spectroscopy at O $K$ and Hf $N_3$ edges. Band-tail states beneath the unoccupied Hf 5$d$ band are observed in the O $K$-edge spectra; combined with ultraviolet photoemission spectrum, this indicates the non-negligible occupation of Hf 5$d$ state. However, Hf $N_3$-edge magnetic circular dichroism spectrum reveals the absence of a long-range ferromagnetic spin order in the oxide. Thus the small amount of $d$ electron gained by the vacancy formation does not show inter-site correlation, contrary to a recent report [M. Venkatesan {\it et al.}, Nature {\bf 430}, 630 (2004)].
[ { "version": "v1", "created": "Sat, 14 Jul 2007 05:31:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Cho", "Deok-Yong", "" ], [ "Lee", "Jae-Min", "" ], [ "Oh", "S. -J.", "" ], [ "Jang", "Hoyoung", "" ], [ "Kim", "J. -Y.", "" ], [ "Park", "J. -H.", "" ], [ "Tanaka", "A.", "" ] ]
0707.2128
Young-Jai Park
Yong-Wan Kim and Young-Jai Park
Entropy of the Schwarzschild black hole to all orders in the Planck length
13 pages, 1 figure; Minor typos corrected, one reference added; Accepted for publication in Phys. Lett. B
Phys.Lett.B655:172-177,2007
10.1016/j.physletb.2007.08.065
SOGANG-MP 01/07
gr-qc
null
Considering corrections to all orders in the Planck length on the quantum state density from a generalized uncertainty principle (GUP), we calculate the statistical entropy of the scalar field on the background of the Schwarzschild black hole without any cutoff. We obtain the entropy of the massive scalar field proportional to the horizon area.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 07:58:06 GMT" }, { "version": "v2", "created": "Wed, 5 Sep 2007 01:55:27 GMT" } ]
2008-11-26T00:00:00
[ [ "Kim", "Yong-Wan", "" ], [ "Park", "Young-Jai", "" ] ]
0707.2129
Hao Wei
Hao Wei, Shuang Nan Zhang
Age Problem in the Holographic Dark Energy Model
12 pages, 3 tables, 3 figures, revtex4; v2: accepted for publication in Phys. Rev. D; v3: published version
Phys.Rev.D76:063003,2007
10.1103/PhysRevD.76.063003
null
astro-ph gr-qc hep-th
null
In this note, we test the original holographic dark energy model with some old high redshift objects. The main idea is very simple: the universe cannot be younger than its constituents. We find that the original holographic dark energy model can be ruled out, unless a lower Hubble constant is taken.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 09:43:36 GMT" }, { "version": "v2", "created": "Sun, 29 Jul 2007 06:41:00 GMT" }, { "version": "v3", "created": "Tue, 18 Sep 2007 06:10:53 GMT" } ]
2008-11-26T00:00:00
[ [ "Wei", "Hao", "" ], [ "Zhang", "Shuang Nan", "" ] ]