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0708.0649
Jonathon Peterson
Jonathon Peterson
Quenched Limits for Transient, Ballistic, Sub-Gaussian One-Dimensional Random Walk in Random Environment
28 pages
null
null
null
math.PR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider a nearest-neighbor, one-dimensional random walk $\{X_n\}_{n\geq 0}$ in a random i.i.d. environment, in the regime where the walk is transient with speed v_P > 0 and there exists an $s\in(1,2)$ such that the annealed law of $n^{-1/s} (X_n - n v_P)$ converges to a stable law of parameter s. Under the quenched law (i.e., conditioned on the environment), we show that no limit laws are possible. In particular we show that there exist sequences {t_k} and {t_k'} depending on the environment only, such that a quenched central limit theorem holds along the subsequence t_k, but the quenched limiting distribution along the subsequence t_k' is a centered reverse exponential distribution. This complements the results of a recent paper of Peterson and Zeitouni (arXiv:0704.1778v1 [math.PR]) which handled the case when the parameter $s\in(0,1)$.
[ { "version": "v1", "created": "Sat, 4 Aug 2007 22:03:53 GMT" }, { "version": "v2", "created": "Sat, 11 Jun 2016 02:51:52 GMT" } ]
2016-06-14T00:00:00
[ [ "Peterson", "Jonathon", "" ] ]
0708.0650
Arash Mostofi
A. A. Mostofi, J. R. Yates, Y.-S. Lee, I. Souza, D. Vanderbilt and N. Marzari
Wannier90: A Tool for Obtaining Maximally-Localised Wannier Functions
Submitted to Computer Physics Communications
Comput. Phys. Commun. 178, 685 (2008)
10.1016/j.cpc.2007.11.016
null
cond-mat.mtrl-sci
null
We present Wannier90, a program for calculating maximally-localised Wannier functions (MLWF) from a set of Bloch energy bands that may or may not be attached to or mixed with other bands. The formalism works by minimising the total spread of the MLWF in real space. This done in the space of unitary matrices that describe rotations of the Bloch bands at each k-point. As a result, Wannier90 is independent of the basis set used in the underlying calculation to obtain the Bloch states. Therefore, it may be interfaced straightforwardly to any electronic structure code. The locality of MLWF can be exploited to compute band-structure, density of states and Fermi surfaces at modest computational cost. Furthermore, Wannier90 is able to output MLWF for visualisation and other post-processing purposes. Wannier functions are already used in a wide variety of applications. These include analysis of chemical bonding in real space; calculation of dielectric properties via the modern theory of polarisation; and as an accurate and minimal basis set in the construction of model Hamiltonians for large-scale systems, in linear-scaling quantum Monte Carlo calculations, and for efficient computation of material properties, such as the anomalous Hall coefficient. Wannier90 is freely available under the GNU General Public License from http://www.wannier.org/
[ { "version": "v1", "created": "Sat, 4 Aug 2007 23:18:00 GMT" } ]
2011-05-18T00:00:00
[ [ "Mostofi", "A. A.", "" ], [ "Yates", "J. R.", "" ], [ "Lee", "Y. -S.", "" ], [ "Souza", "I.", "" ], [ "Vanderbilt", "D.", "" ], [ "Marzari", "N.", "" ] ]
0708.0651
John Wisniewski
John P. Wisniewski (1), Karen S. Bjorkman (2), Antonio M. Magalhaes (3), Jon E. Bjorkman (2), Marilyn R. Meade (4), Antonio Pereyra (3) ((1) NASA GSFC, (2) University of Toledo, (3) University of Sao Paulo, (4) University of Wisconsin)
The Role of Evolutionary Age and Metallicity in the Formation of Classical Be Circumstellar Disks II. Assessing the Evolutionary Nature of Candidate Disk Systems
30 pages, accepted by ApJ, emulateapj5 format
null
10.1086/522293
null
astro-ph
null
(Abridged version) We present the first detailed imaging polarization observations of six SMC and six LMC clusters, known to have large populations of B-type stars which exhibit excess H-alpha emission, to constrain the evolutionary status of these stars and hence better establish links between the onset of disk formation in classical Be stars and cluster age and/or metallicity. The wavelength dependence of our intrinsic polarization data provides a diagnostic of the dominant and any secondary polarigenic agents present, enabling us to discriminate pure gas disk systems, i.e. classical Be stars, from composite gas plus dust disk systems, i.e. Herbig Ae/Be or B[e] stars. Our intrinsic polarization results, along with available near-IR color information, strongly supports the suggestion of Wisniewski et al. that classical Be stars are present in clusters of age 5-8 Myr, and contradict assertions that the Be phenomenon only develops in the second half of a B star's main sequence lifetime, i.e. no earlier than 10 Myr. Comparing the polarimetric properties of our dataset to a similar survey of Galactic classical Be stars, we find that the prevalence of polarimetric Balmer jump signatures decreases with metallicity. We speculate that these results might indicate that either it is more difficult to form large disk systems in low metallicity environments, or that the average disk temperature is higher in these low metallicity environments. We have characterized the polarimetric signatures of all candidate Be stars in our data sample and find ~25% are unlikely to arise from true classical Be star-disk systems.
[ { "version": "v1", "created": "Sat, 4 Aug 2007 23:37:06 GMT" } ]
2009-11-13T00:00:00
[ [ "Wisniewski", "John P.", "" ], [ "Bjorkman", "Karen S.", "" ], [ "Magalhaes", "Antonio M.", "" ], [ "Bjorkman", "Jon E.", "" ], [ "Meade", "Marilyn R.", "" ], [ "Pereyra", "Antonio", "" ] ]
0708.0652
Daniel Heber Theodoro Franco
Daniel H.T. Franco
A Uniqueness Theorem and Its Application to Field-Theoretical Models with a Fundamental Length
null
null
null
null
math.FA math-ph math.MP
null
It is shown that if a distribution V of exponential growth has support in a proper convex cone and its Fourier transform is carried by a closed cone different from whole space, then V=0. The application of this result to a {\em quasi-local} quantum field theory (where the fields are localizable only in regions greater than a certain scale of nonlocality) is contemplated. In particular, we show that a number of physically important predictions of {\em local} quantum field theory also hold in a quantum field theory with a fundamental length, as indicated from string theory.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 00:32:10 GMT" } ]
2007-08-07T00:00:00
[ [ "Franco", "Daniel H. T.", "" ] ]
0708.0653
Timothy Yarnall
Timothy Yarnall, Ayman F. Abouraddy, Bahaa E. A. Saleh, and Malvin C. Teich
Experimental Violation of Bell's Inequality in Spatial-Parity Space
10 pages, 3 figures, 1 Table
Phys. Rev. Lett. 99, 170408 (2007)
10.1103/PhysRevLett.99.170408
null
quant-ph
null
We report the first experimental violation of Bell's inequality in the spatial domain using the Einstein--Podolsky--Rosen state. Two-photon states generated via optical spontaneous parametric downconversion are shown to be entangled in the parity of their one-dimensional transverse spatial profile. Superpositions of Bell states are prepared by manipulation of the optical pump's transverse spatial parity--a classical parameter. The Bell-operator measurements are made possible by devising simple optical arrangements that perform rotations in the one-dimensional spatial-parity space of each photon of an entangled pair and projective measurements onto a basis of even--odd functions. A Bell-operator value of 2.389 +- 0.016 is recorded, a violation of the inequality by more than 24 standard deviations.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 02:23:53 GMT" } ]
2008-05-06T00:00:00
[ [ "Yarnall", "Timothy", "" ], [ "Abouraddy", "Ayman F.", "" ], [ "Saleh", "Bahaa E. A.", "" ], [ "Teich", "Malvin C.", "" ] ]
0708.0654
James P. Crutchfield
Susanne Still, James P. Crutchfield
Structure or Noise?
6 pages, 2 figures; http://cse.ucdavis.edu/~cmg/compmech/pubs/son.html
null
null
null
physics.data-an cond-mat.stat-mech cs.IT cs.LG math-ph math.IT math.MP math.ST nlin.CD stat.TH
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show how rate-distortion theory provides a mechanism for automated theory building by naturally distinguishing between regularity and randomness. We start from the simple principle that model variables should, as much as possible, render the future and past conditionally independent. From this, we construct an objective function for model making whose extrema embody the trade-off between a model's structural complexity and its predictive power. The solutions correspond to a hierarchy of models that, at each level of complexity, achieve optimal predictive power at minimal cost. In the limit of maximal prediction the resulting optimal model identifies a process's intrinsic organization by extracting the underlying causal states. In this limit, the model's complexity is given by the statistical complexity, which is known to be minimal for achieving maximum prediction. Examples show how theory building can profit from analyzing a process's causal compressibility, which is reflected in the optimal models' rate-distortion curve--the process's characteristic for optimally balancing structure and noise at different levels of representation.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 01:37:53 GMT" }, { "version": "v2", "created": "Sun, 29 Jun 2008 23:52:26 GMT" } ]
2016-09-08T00:00:00
[ [ "Still", "Susanne", "" ], [ "Crutchfield", "James P.", "" ] ]
0708.0655
Steve Warren
S. J. Warren, D. J. Mortlock, S. K. Leggett, D. J. Pinfield, D. Homeier, S. Dye, R. F. Jameson, N. Lodieu, P. W. Lucas, A. J. Adamson, F. Allard, D. Barrado y Navascues, M. Casali, K. Chiu, N. C. Hambly, P. C. Hewett, P. Hirst, M. J. Irwin, A. Lawrence, M. C. Liu, E. L. Martin, R. L. Smart, L. Valdivielso, B. P. Venemans
A very cool brown dwarf in UKIDSS DR1
To appear in MNRAS
Mon.Not.Roy.Astron.Soc.381:1400-1412,2007
10.1111/j.1365-2966.2007.12348.x
null
astro-ph
null
(abridged) We report the discovery of a very cool brown dwarf, ULAS J003402.77-005206.7 (ULAS J0034-00), identified in UKIDSS DR1. We provide optical, near-infrared, and mid-infrared photometry of the source, and two near-infrared spectra. Comparing the spectral energy distribution of ULAS J0034-00 to that of the T8 brown dwarf 2MASS J0415-09, the latest-type and coolest well-studied brown dwarf to date, with Teff~750 K, we find evidence that ULAS J0034-00 is significantly cooler. First, the measured values of the near-infrared absorption spectral indices imply a later classification, of T8.5. Second, the H-[4.49] colour provides an empirical estimate of the temperature of 540<Teff<660 K (+/-2sig range). Third, the J- and H-band peaks are somewhat narrower in ULAS J0034-00, and detailed comparison against spectral models calibrated to 2MASS J0415-09 yields an estimated temperature lower by 60-120 K relative to 2MASS J0415-09 i.e. 630<Teff<690 K (+/-2sig), and lower gravity or higher metallicity according to the degenerate combination -0.5<delta(log g-2[m/H])<-0.25 (+/-2sig). Combining these estimates, and considering systematics, it is likely the temperature lies in the range 600<Teff<700 K. Despite the low inferred Teff we find no evidence for strong absorption by NH3 over the wavelength range 1.51-1.56 um. Evolutionary models imply that the mass and age are in the ranges 15-36 M(Jup) and 0.5-8 Gyr, respectively. The measured proper motion, of (0.37+/-0.07)arcsec/yr, combined with the photometrically estimated distance of 14-22 pc, implies a tangential velocity of ~30 km/s. ULAS J0034-00 is significantly bluer than 2MASS J0415-09 in Y-J, so future searches should allow for the possibility that cooler T dwarfs are bluer still.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 02:32:53 GMT" } ]
2008-11-26T00:00:00
[ [ "Warren", "S. J.", "" ], [ "Mortlock", "D. J.", "" ], [ "Leggett", "S. K.", "" ], [ "Pinfield", "D. J.", "" ], [ "Homeier", "D.", "" ], [ "Dye", "S.", "" ], [ "Jameson", "R. F.", "" ], [ "Lodieu", "N.", "" ], [ "Lucas", "P. W.", "" ], [ "Adamson", "A. J.", "" ], [ "Allard", "F.", "" ], [ "Navascues", "D. Barrado y", "" ], [ "Casali", "M.", "" ], [ "Chiu", "K.", "" ], [ "Hambly", "N. C.", "" ], [ "Hewett", "P. C.", "" ], [ "Hirst", "P.", "" ], [ "Irwin", "M. J.", "" ], [ "Lawrence", "A.", "" ], [ "Liu", "M. C.", "" ], [ "Martin", "E. L.", "" ], [ "Smart", "R. L.", "" ], [ "Valdivielso", "L.", "" ], [ "Venemans", "B. P.", "" ] ]
0708.0656
Wei-Liem Loh
Wei-Liem Loh
A multivariate central limit theorem for randomized orthogonal array sampling designs in computer experiments
89 pages
null
null
null
math.ST stat.ME stat.TH
null
Let $f:[0,1)^d \to {\mathbb R}$ be an integrable function. An objective of many computer experiments is to estimate $\int_{[0,1)^d} f(x) dx$ by evaluating f at a finite number of points in [0,1)^d. There is a design issue in the choice of these points and a popular choice is via the use of randomized orthogonal arrays. This article proves a multivariate central limit theorem for a class of randomized orthogonal array sampling designs [Owen (1992a)] as well as for a class of OA-based Latin hypercubes [Tang (1993)].
[ { "version": "v1", "created": "Sun, 5 Aug 2007 03:35:36 GMT" } ]
2007-08-07T00:00:00
[ [ "Loh", "Wei-Liem", "" ] ]
0708.0657
Steven Olmschenk
S. Olmschenk, K. C. Younge, D. L. Moehring, D. Matsukevich, P. Maunz and C. Monroe
Manipulation and Detection of a Trapped Yb+ Ion Hyperfine Qubit
10 pages, 9 figures, 1 table
Phys. Rev. A 76, 052314 (2007)
10.1103/PhysRevA.76.052314
null
quant-ph
null
We demonstrate the use of trapped ytterbium ions as quantum bits for quantum information processing. We implement fast, efficient state preparation and state detection of the first-order magnetic field-insensitive hyperfine levels of 171Yb+, with a measured coherence time of 2.5 seconds. The high efficiency and high fidelity of these operations is accomplished through the stabilization and frequency modulation of relevant laser sources.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 03:45:59 GMT" } ]
2008-01-30T00:00:00
[ [ "Olmschenk", "S.", "" ], [ "Younge", "K. C.", "" ], [ "Moehring", "D. L.", "" ], [ "Matsukevich", "D.", "" ], [ "Maunz", "P.", "" ], [ "Monroe", "C.", "" ] ]
0708.0658
Akram Mukhamedzhanov
A. M. Mukhamedzhanov, L. D. Blokhintsev, B. F. Irgaziev, A. S. Kadyrov, M. La Cognata, C. Spitaleri and R. E. Tribble
Trojan Horse as an indirect technique in nuclear astrophysics. Resonance reactions
6 pages and 1 figure
J.Phys.G35:014016,2008
10.1088/0954-3899/35/1/014016
null
nucl-th
null
The Trojan Horse method is a powerful indirect technique that provides information to determine astrophysical factors for binary rearrangement processes $x + A \to b + B$ at astrophysically relevant energies by measuring the cross section for the Trojan Horse reaction $a + A \to y+ b + B$ in quasi-free kinematics. We present the theory of the Trojan Horse method for resonant binary subreactions based on the half-off-energy-shell R matrix approach which takes into account the off-energy-shell effects and initial and final state interactions.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 04:02:45 GMT" } ]
2008-11-26T00:00:00
[ [ "Mukhamedzhanov", "A. M.", "" ], [ "Blokhintsev", "L. D.", "" ], [ "Irgaziev", "B. F.", "" ], [ "Kadyrov", "A. S.", "" ], [ "La Cognata", "M.", "" ], [ "Spitaleri", "C.", "" ], [ "Tribble", "R. E.", "" ] ]
0708.0659
David Treumann
David Treumann
Exit paths and constructible stacks
null
null
10.1112/S0010437X09004229
null
math.AT
null
For a Whitney stratification S of a space X (or more generally a topological stratification in the sense of Goresky and MacPherson) we introduce the notion of an S-constructible stack of categories on X. The motivating example is the stack of S-constructible perverse sheaves. We introduce a 2-category $EP_{\leq 2}(X,S)$, called the exit-path 2-category, which is a natural stratified version of the fundamental 2-groupoid. Our main result is that the 2-category of S-constructible stacks on X is equivalent to the 2-category of 2-functors from $EP_{\leq 2}(X,S)$ to the 2-category of small categories.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 04:06:38 GMT" } ]
2014-01-14T00:00:00
[ [ "Treumann", "David", "" ] ]
0708.0660
Guanrong Chen
Zhisheng Duan, Chao Liu and Guanrong Chen
Network synchronizability analysis: the theory of subgraphs and complementary graphs
13 pages, 7 figures
null
10.1016/j.physd.2007.12.003
null
cs.NI cs.GR
null
In this paper, subgraphs and complementary graphs are used to analyze the network synchronizability. Some sharp and attainable bounds are provided for the eigenratio of the network structural matrix, which characterizes the network synchronizability, especially when the network's corresponding graph has cycles, chains, bipartite graphs or product graphs as its subgraphs.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 05:25:45 GMT" } ]
2009-11-13T00:00:00
[ [ "Duan", "Zhisheng", "" ], [ "Liu", "Chao", "" ], [ "Chen", "Guanrong", "" ] ]
0708.0661
Rong Xiang Mr
Rong Xiang, Zhou Yang, Qiang Zhang, Guohua Luo, Weizhong Qian, Fei Wei, Masayuki Kadowaki, Shigeo Maruyama
Decelerating Growth of Vertically Aligned Carbon Nanotube Arrays: Kinetic Controlled or Diffusion Controlled?
20 pages, 1 table, 4 figures
null
null
null
cond-mat.mtrl-sci cond-mat.other
null
Feedstock and byproduct diffusion in the root growth of aligned CNT arrays was discussed in this work. A non-dimensional modulus was proposed to differentiate catalyst-decay controlled growth deceleration from diffusion controlled one. It was found that aligned MWNT arrays are usually free of feedstock diffusion while SWNT arrays are usually facing strong diffusion limit. The present method can also be utilized to predict the maximum length that CNT forest can grow in certain CVD process.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 07:53:35 GMT" } ]
2007-08-07T00:00:00
[ [ "Xiang", "Rong", "" ], [ "Yang", "Zhou", "" ], [ "Zhang", "Qiang", "" ], [ "Luo", "Guohua", "" ], [ "Qian", "Weizhong", "" ], [ "Wei", "Fei", "" ], [ "Kadowaki", "Masayuki", "" ], [ "Maruyama", "Shigeo", "" ] ]
0708.0662
Qasem Exirifard
Qasem Exirifard
Constraints on $f(R_{ijkl}R^{ijkl})$ gravity: An evidence against the covariant resolution of the Pioneer anomaly
...v5: references added, new discussions added
Class. Quant. Grav. 26: 025001,2009
10.1088/0264-9381/26/2/025001
IPM/P-2007/056
gr-qc astro-ph hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider corrections in the form of $\Delta L(R_{ijkl}R^{ijkl})$ to the Einstein-Hilbert Lagrangian. Then we compute the corrections to the Schwarszchild geometry due to the inclusion of this general term to the Lagrangian. We show that $\Delta L_3=\alpha_{{1/3}}(R_{ijkl}R^{ijkl})^{{1/3}}$ gives rise to a constant anomalous acceleration for objects orbiting the Sun onward the Sun. This leads to the conclusion that $\alpha_{{1/3}}=(13.91\pm 2.11) \times 10^{-26}(\frac{1}{\text{meters}})^{{2/3}}$ would have covariantly resolved the Pioneer anomaly if this value of $\alpha_{{1/3}}$ had not contradicted other observations. We notice that the experimental bounds on $\Delta L_3$ grows stronger in case we examine the deformation of the space-time geometry around objects lighter than the Sun. We therefore use the high precision measurements around the Earth (LAGEOS and LLR) and obtain a very strong constraint on the corrections in the form of $\Delta L(R_{ijkl}R^{ijkl})$ and in particular $\Delta L=\alpha_n(R_{ijkl}R^{ijkl})^n$. This bound requires $\alpha_{{1/3}}\leq6.12\times 10^{-29}(\frac{1}{\text{meters}})^{{2/3}}$. Therefore it refutes the covariant resolution of the Pioneer anomaly.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 09:27:02 GMT" }, { "version": "v2", "created": "Sat, 18 Aug 2007 07:37:13 GMT" }, { "version": "v3", "created": "Mon, 3 Dec 2007 08:35:15 GMT" }, { "version": "v4", "created": "Sat, 5 Apr 2008 11:25:28 GMT" }, { "version": "v5", "created": "Mon, 27 Oct 2008 13:12:54 GMT" } ]
2011-09-28T00:00:00
[ [ "Exirifard", "Qasem", "" ] ]
0708.0663
Grigory Volovik
Yu.M. Bunkov and G.E. Volovik
Bose-Einstein condensation of magnons in superfluid 3He
10 pages, 5 figures, prepared for proceedings of QFS-2007, JLTP style
J. Low Temp. Phys. 150 (2008) 135-144
10.1007/s10909-007-9530-7
null
cond-mat.other
null
The possibility of Bose-Einstein condensation of excitations has been discussed for a long time. The phenomenon of the phase-coherent precession of magnetization in superfluid 3He and the related effects of spin superfluidity are based on the true Bose-Einstein condensation of magnons. Several different states of coherent precession has been observed in 3He-B: homogeneously precessing domain (HPD); persistent signal formed by Q-balls at very low temperatures; coherent precession with fractional magnetization; and two new modes of the coherent precession in compressed aerogel. In compressed aerogel the coherent precession has been also found in 3He-A. Here we demonstrate that all these cases are examples of a Bose-Einstein condensation of magnons, with the magnon interaction term in the Gross-Pitaevskii equation being provided by different types of spin-orbit coupling in the background of the coherent precession.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 08:44:38 GMT" } ]
2009-11-13T00:00:00
[ [ "Bunkov", "Yu. M.", "" ], [ "Volovik", "G. E.", "" ] ]
0708.0664
Lajos Di\'osi
Lajos Di\'osi
Shortnote on local hidden Grassmann variables vs. quantum correlations
2pp
null
null
null
quant-ph
null
Grassmannian local hidden variables are shown to generate all possible quantum correlations in a bipartite quantum system. Grassmann representation of fermions, common in field theory, opens a related perspective. Although Grassmann hidden variables can not challange Bell's locality theorem, they can become an interesting mathematical tool to investigate entanglement.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 08:49:02 GMT" } ]
2007-08-07T00:00:00
[ [ "Diósi", "Lajos", "" ] ]
0708.0665
Miroslav Grajcar
M. Grajcar, S.H.W. van der Ploeg, A. Izmalkov, E. Il'ichev, H.-G. Meyer, A. Fedorov, A. Shnirman, Gerd Sch\"on
Sisyphus cooling and amplification by a superconducting qubit
7 pages, 4 figures
null
10.1038/nphys1019
null
cond-mat.supr-con
null
Laser cooling of the atomic motion paved the way for remarkable achievements in the fields of quantum optics and atomic physics, including Bose-Einstein condensation and the trapping of atoms in optical lattices. More recently superconducting qubits were shown to act as artificial two-level atoms, displaying Rabi oscillations, Ramsey fringes, and further quantum effects. Coupling such qubits to resonators brought the superconducting circuits into the realm of quantum electrodynamics (circuit QED). It opened the perspective to use superconducting qubits as micro-coolers or to create a population inversion in the qubit to induce lasing behavior of the resonator. Furthering these analogies between quantum optical and superconducting systems we demonstrate here Sisyphus cooling of a low frequency LC oscillator coupled to a near-resonantly driven superconducting qubit. In the quantum optics setup the mechanical degrees of freedom of an atom are cooled by laser driving the atom's electronic degrees of freedom. Here the roles of the two degrees of freedom are played by the LC circuit and the qubit's levels, respectively. We also demonstrate the counterpart of the Sisyphus cooling, namely Sisyphus amplification. Parallel to the experimental demonstration we analyze the system theoretically and find quantitative agreement, which supports the interpretation and allows us to estimate system parameters.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 10:29:16 GMT" }, { "version": "v2", "created": "Mon, 19 May 2008 16:47:53 GMT" } ]
2008-07-08T00:00:00
[ [ "Grajcar", "M.", "" ], [ "van der Ploeg", "S. H. W.", "" ], [ "Izmalkov", "A.", "" ], [ "Il'ichev", "E.", "" ], [ "Meyer", "H. -G.", "" ], [ "Fedorov", "A.", "" ], [ "Shnirman", "A.", "" ], [ "Schön", "Gerd", "" ] ]
0708.0666
Arbab Ibrahim Arbab
Arbab I. Arbab
On the Planetary acceleration and the Rotation of the Earth
8 Latex pages
Astrophys.Space Sci.314:35-39,2008
10.1007/s10509-007-9731-1
null
astro-ph
null
We have developed a model for the Earth rotation that gives a good account (data) of the Earth astronomical parameters. These data can be compared with the ones obtained using space-base telescopes. The expansion of the universe has an impact on the rotation of planets, and in particular, the Earth. The expansion of the universe causes an acceleration that is exhibited by all planets.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 07:55:51 GMT" } ]
2011-04-01T00:00:00
[ [ "Arbab", "Arbab I.", "" ] ]
0708.0667
Joanna Modlawska MSc
Joanna Modlawska and Andrzej Grudka
Nonmaximally entangled states can be better for multiple linear optical teleportation
4 pages, 3 figures
Phys. Rev. Lett. 100, 110503 (2008)
10.1103/PhysRevLett.100.110503
null
quant-ph
null
We investigate multiple linear optical teleportation in the Knill-Laflamme-Milburn scheme with both maximally and nonmaximally entangled states. We show that if the qubit is teleported several times via nonmaximally entangled state then the errors introduced in the previous teleportations can be corrected by the errors introduced in the following teleportations. This effect is so strong that it leads to another interesting phenomenon, i.e., the total probability of successful multiple linear optical teleportation is higher for nonmaximally entangled states than maximally entangled states.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 12:11:35 GMT" }, { "version": "v2", "created": "Mon, 17 Mar 2008 17:33:04 GMT" } ]
2008-07-24T00:00:00
[ [ "Modlawska", "Joanna", "" ], [ "Grudka", "Andrzej", "" ] ]
0708.0668
Shin Sasaki
Masato Arai, Claus Montonen, Nobuchika Okada, Shin Sasaki
Meta-stable Vacuum in Spontaneously Broken N=2 Supersymmetric Gauge Theory
27 pages, 11 figures, journal reference added, minor modifications in the text
Phys.Rev.D76:125009,2007
10.1103/PhysRevD.76.125009
HIP-2007-41/TH
hep-th hep-ph
null
We consider an N=2 supersymmetric SU(2) \times U(1) gauge theory with N_f=2 massless flavors and a Fayet-Iliopoulos (FI) term. In the presence of the FI term, supersymmetry is spontaneously broken at tree level (on the Coulomb branch), leaving a pseudo-flat direction in the classical potential. This vacuum degeneracy is removed once quantum corrections are taken into account. Due to the SU(2) gauge dynamics, the effective potential exhibits a local minimum at the dyon point, where not only supersymmetry but also U(1)_R symmetry is broken, while a supersymmetric vacuum would be realized toward infinity with the runaway behavior of the potential. This local minimum is found to be parametrically long-lived. Interestingly, from a phenomenological point of view, in this meta-stable vacuum the massive hypermultiplets inherent in the theory play the role of the messenger fields in the gauge mediation scenario, when the Standard Model gauge group is embedded into their flavor symmetry.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 12:17:27 GMT" }, { "version": "v2", "created": "Mon, 10 Sep 2007 12:26:16 GMT" }, { "version": "v3", "created": "Mon, 10 Dec 2007 15:24:57 GMT" } ]
2008-11-26T00:00:00
[ [ "Arai", "Masato", "" ], [ "Montonen", "Claus", "" ], [ "Okada", "Nobuchika", "" ], [ "Sasaki", "Shin", "" ] ]
0708.0669
Shamgar Gurevich
Shamgar Gurevich (Berkeley) and Ronny Hadani (Chicago)
Notes on quantization of symplectic vector spaces over finite fields
Notes from the lecture at the AGAQ conference (Istanbul, June 2006) on our solution to Kazhdan's problem on canonical quantization
null
null
null
math-ph math.MP math.RT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In these notes we construct a quantization functor, associating an Hilbert space H(V) to a finite dimensional symplectic vector space V over a finite field F_q. As a result, we obtain a canonical model for the Weil representation of the symplectic group Sp(V). The main technical result is a proof of a stronger form of the Stone-von Neumann theorem for the Heisenberg group over F_q. Our result answers, for the case of the Heisenberg group, a question of Kazhdan about the possible existence of a canonical Hilbert space attached to a coadjoint orbit of a general unipotent group over F_q.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 12:26:47 GMT" }, { "version": "v2", "created": "Sat, 12 Jul 2008 12:10:33 GMT" }, { "version": "v3", "created": "Mon, 20 Apr 2009 05:44:05 GMT" } ]
2009-04-20T00:00:00
[ [ "Gurevich", "Shamgar", "", "Berkeley" ], [ "Hadani", "Ronny", "", "Chicago" ] ]
0708.0670
Jonathan Breuer
Jonathan Breuer
Spectral and Dynamical Properties of Certain Random Jacobi Matrices with Growing Parameters
26 pages, some typos corrected and some remarks added
null
null
null
math.SP math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, a family of random Jacobi matrices, with off-diagonal terms that exhibit power-law growth, is studied. Since the growth of the randomness is slower than that of these terms, it is possible to use methods applied in the study of Schr\"odinger operators with random decaying potentials. A particular result of the analysis is the existence of operators with arbitrarily fast transport whose spectral measure is zero dimensional. The results are applied to the infinite Gaussian $\beta$ Ensembles and their spectral properties are analyzed.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 12:38:35 GMT" }, { "version": "v2", "created": "Mon, 16 Jun 2008 18:07:04 GMT" } ]
2008-06-16T00:00:00
[ [ "Breuer", "Jonathan", "" ] ]
0708.0671
Guohuai Zhu
Mingxing Luo, Wei Wu and Guohuai Zhu
Unparticle Physics and A_{FB}^b on the Z pole
Version to appear in Phys. Lett. B. 13 pages, 5 figures
Phys.Lett.B659:349-356,2008
10.1016/j.physletb.2007.10.085
null
hep-ph
null
An attempt has been made to address the 3\sigma anomaly of the forward-backward asymmetry of b quark in LEP data via an unparticle sector. For most part of the parameter space except certain particular regions, the anomaly could not be explained away plausibly, when constraints from other LEP observables are taken into account.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 02:40:31 GMT" }, { "version": "v2", "created": "Thu, 3 Jan 2008 02:56:35 GMT" } ]
2008-11-26T00:00:00
[ [ "Luo", "Mingxing", "" ], [ "Wu", "Wei", "" ], [ "Zhu", "Guohuai", "" ] ]
0708.0672
Juan Maldacena
Luis F. Alday and Juan Maldacena
Comments on operators with large spin
33 pages, 1 figure,v2:reference to more recent work added, minor corrections
JHEP0711:019,2007
10.1088/1126-6708/2007/11/019
null
hep-th
null
We consider high spin operators. We give a general argument for the logarithmic scaling of their anomalous dimensions which is based on the symmetries of the problem. By an analytic continuation we can also see the origin of the double logarithmic divergence in the Sudakov factor. We show that the cusp anomalous dimension is the energy density for a flux configuration of the gauge theory on $AdS_3 \times S^1$. We then focus on operators in ${\cal N}=4$ super Yang Mills which carry large spin and SO(6) charge and show that in a particular limit their properties are described in terms of a bosonic O(6) sigma model. This can be used to make certain all loop computations in the string theory.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 19:42:12 GMT" }, { "version": "v2", "created": "Mon, 6 Aug 2007 21:54:04 GMT" }, { "version": "v3", "created": "Fri, 26 Oct 2007 15:16:58 GMT" } ]
2008-11-26T00:00:00
[ [ "Alday", "Luis F.", "" ], [ "Maldacena", "Juan", "" ] ]
0708.0673
Tyrel McQueen
T. McQueen, Q. Xu, E. N. Andersen, H. W. Zandbergen, R. J. Cava
Structures of the reduced niobium oxides Nb12O29 and Nb22O54
19 pages, 4 figures, accepted to J. Sol. St. Chem
J. Sol. St. Chem. 180, 2864-2870 (2007)
10.1016/j.jssc.2007.08.013
null
cond-mat.mtrl-sci
null
The crystal structure of Nb22O54 is reported for the first time, and the structure of orthorhombic Nb12O29 is reexamined, resolving previous ambiguities. Single crystal x-ray and electron diffraction were employed. These compounds were found to crystallize in the space groups P2/m (a = 15.7491(2) A, b = 3.8236(3) A, c = 17.8521(2) A, beta = 102.029(3)) and Cmcm (a = 3.8320(2) A, b = 20.7400(9) A, c = 28.8901(13) A) respectively and share a common structural unit, a 4x3 block of corner sharing NbO6 octahedra. Despite different constraints imposed by symmetry these blocks are very similar in both compounds. Within a block, it is found that the niobium atoms are not located in the centers of the oxygen octahedra, but rather are displaced inward toward the center of the block forming an apparent antiferroelectric state. Bond valence sums and bond lengths do not show the presence of charge ordering, suggesting that all 4d electrons are delocalized in these compounds at the temperature studied, T = 200 K.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 13:31:08 GMT" } ]
2009-02-02T00:00:00
[ [ "McQueen", "T.", "" ], [ "Xu", "Q.", "" ], [ "Andersen", "E. N.", "" ], [ "Zandbergen", "H. W.", "" ], [ "Cava", "R. J.", "" ] ]
0708.0674
Paolo Tozzi
Paolo Tozzi
Emission Lines in X-ray Spectra of Clusters of Galaxies
8 pages, 3 figures, Proceedings of the VI Serbian Conference on Spectral Line Shapes in Astrophysics, Sremski Karlovci, Serbia June 11-15 2007
AIPConf.Proc.938:43-50,2007
10.1063/1.2800151
null
astro-ph
null
Emission lines in X-ray spectra of clusters of galaxies reveal the presence of heavy elements in the diffuse hot plasma (the Intra Cluster Medium, or ICM) in virial equilibrium in the dark matter potential well. The relatively simple physical state of the ICM allows us to estimate, with good accuracy, its thermodynamical properties and chemical abundances. These measures put strong constraints on the interaction processes between the galaxies and the surrounding medium, and have significant impact on models of galaxy formation as well. This field is rapidly evolving thanks to the X-ray satellites Chandra and XMM-Newton. Among the most relevant progresses in the last years, we briefly discuss the nature of cool cores and the measure of the Iron abundance in high redshift clusters. Future X-ray missions with bolometers promise to provide a substantial step forward to a more comprehensive understanding of the complex physics of the ICM.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 17:00:39 GMT" } ]
2008-11-26T00:00:00
[ [ "Tozzi", "Paolo", "" ] ]
0708.0675
Angelo Tartaglia
A. Tartaglia, N. Radicella
Vector field theories in cosmology
19 pages, 1 figure, to appear on Phys. Rev. D
Phys.Rev.D76:083501,2007
10.1103/PhysRevD.76.083501
null
gr-qc
null
Recently proposed theories based on the cosmic presence of a vectorial field are compared and contrasted. In particular the so called Einstein aether theory is discussed in parallel with a recent proposal of a strained space-time theory (Cosmic Defect theory). We show that the latter fits reasonably well the cosmic observed data with only one, or at most two, adjustable parameters, whilst other vector theories use much more. The Newtonian limits are also compared. Finally we show that the CD theory may be considered as a special case of the aether theories, corresponding to a more compact and consistent paradigm.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 15:17:23 GMT" } ]
2008-11-26T00:00:00
[ [ "Tartaglia", "A.", "" ], [ "Radicella", "N.", "" ] ]
0708.0676
S. Yang
S. Yang, D. L. Zhou, C. P. Sun
Mosaic spin models with topological order
4 pages, 3 figures. Final version to appear in Phys. Rev. B as a Rapid Communication
Phys. Rev. B 76, 180404(R) (2007)
10.1103/PhysRevB.76.180404
null
cond-mat.str-el quant-ph
null
We study a class of two-dimensional spin models with the Kitaev-type couplings in mosaic structure lattices to implement topological orders. We show that they are exactly solvable by reducing them to some free Majorana fermion models with gauge symmetries. The typical case with a 4-8-8 close packing is investigated in detail to display the quantum phases with Abelian and non-Abelian anyons. Its topological properties characterized by Chern numbers are revealed through the edge modes of its spectrum.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 03:24:50 GMT" }, { "version": "v2", "created": "Tue, 14 Aug 2007 13:20:42 GMT" }, { "version": "v3", "created": "Fri, 2 Nov 2007 12:23:55 GMT" } ]
2011-11-10T00:00:00
[ [ "Yang", "S.", "" ], [ "Zhou", "D. L.", "" ], [ "Sun", "C. P.", "" ] ]
0708.0677
Hans F. de Groote
Hans F. de Groote
Observables IV: The presheaf perspective
35 pages
null
null
null
math-ph math.MP math.OA quant-ph
null
In this fourth of our series of papers on observables we show that one can associate to each von Neumann algebra R a pair of isomorphic presheaves, the upper presheaf O^{+}_{R} and the lower presheaf O^{-}_{R}, on the category of abelian von Neumann subalgebras of R. Each $A \in R_{sa}$ induces a global section of O^{+}_{R} and of O^{-}_{R} respectively. We call them \emph {contextual observables}. But we show that, in general, not every global section of these presheaves arises in this way. Moreover, we discuss states of a von Neumann algebra in the presheaf context.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 16:43:44 GMT" } ]
2007-08-07T00:00:00
[ [ "de Groote", "Hans F.", "" ] ]
0708.0678
Aparna Baskaran
Aparna Baskaran, James W. Dufty and J. Javier Brey
Kinetic Theory of Response Functions for the Hard Sphere Granular Fluid
Submitted to J. Stat. Mech
null
10.1088/1742-5468/2007/12/P12002
null
cond-mat.soft cond-mat.stat-mech
null
The response functions for small spatial perturbations of a homogeneous granular fluid have been described recently. In appropriate dimensionless variables, they have the form of stationary state time correlation functions. Here, these functions are expressed in terms of reduced single particle functions that are expected to obey a linear kinetic equation. The functional assumption required for such a kinetic equation, and a Markov approximation for its implementation are discussed. If, in addition, static velocity correlations are neglected, a granular fluid version of the linearized Enskog kinetic theory is obtained. The derivation makes no a priori limitation on the density, space and time scale, nor degree of inelasticity. As an illustration, recently derived Helfand and Green-Kubo expressions for the Navier-Stokes order transport coefficients are evaluated with this kinetic theory. The results are in agreement with those obtained from the Chapman-Enskog solution to the nonlinear Enskog kinetic equation.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 17:12:31 GMT" } ]
2009-11-13T00:00:00
[ [ "Baskaran", "Aparna", "" ], [ "Dufty", "James W.", "" ], [ "Brey", "J. Javier", "" ] ]
0708.0679
Mark Fels
I.M. Anderson, M.E. Fels, P.J. Vassiliou
Superposition Formulas for Darboux Integrable Exterior Differential Systems
80 page report. Updated version with some new sections, and major improvements to others
null
null
null
math.DG math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we present a far-reaching generalization of E. Vessiot's analysis of the Darboux integrable partial differential equations in one dependent and two independent variables. Our approach provides new insights into this classical method, uncovers the fundamental geometric invariants of Darboux integrable systems, and provides for systematic, algorithmic integration of such systems. This work is formulated within the general framework of Pfaffian exterior differential systems and, as such, has applications well beyond those currently found in the literature. In particular, our integration method is applicable to systems of hyperbolic PDE such as the Toda lattice equations, 2 dimensional wave maps and systems of overdetermined PDE.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 17:34:48 GMT" }, { "version": "v2", "created": "Wed, 11 Jun 2008 17:16:10 GMT" } ]
2008-06-11T00:00:00
[ [ "Anderson", "I. M.", "" ], [ "Fels", "M. E.", "" ], [ "Vassiliou", "P. J.", "" ] ]
0708.0680
Saibal Ray
U. Mukhopadhyay, Saibal Ray and S. B. Dutta Choudhury
$\Lambda$-CDM Universe: A Phenomenological Approach With Many Possibilities
10 Latex pages; Corrected typos; To appear in Int. J. Mod. Phys. D
Int.J.Mod.Phys.D17:301-309,2008
10.1142/S0218271808012012
null
gr-qc
null
A time-dependent phenomenological model of $\Lambda$, viz. $\dot \Lambda\sim H^3$ is selected to investigate the $\Lambda$-CDM cosmology. Time-dependent form of the equation of state parameter $\omega$ is derived and it has been possible to obtain the sought for flip of sign of the deceleration parameter q. Present age of the Universe, calculated for some specific values of the parameters agrees very well with the observational data.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 18:03:45 GMT" }, { "version": "v2", "created": "Wed, 12 Mar 2008 17:49:47 GMT" } ]
2008-11-26T00:00:00
[ [ "Mukhopadhyay", "U.", "" ], [ "Ray", "Saibal", "" ], [ "Choudhury", "S. B. Dutta", "" ] ]
0708.0681
Guenter Nimtz
G. Nimtz and A. A. Stahlhofen
Macroscopic violation of special relativity
2 pages pdf-file, 2 figures
null
null
null
quant-ph
null
Feynman one of the founders of Quantum Electronic Dynamics (QED) introduced in his diagrams virtual particles as intermediate states of an interaction process. Such virtual particles are not observable, however, from the theoretical point of view they represent necessary intermediate states between observable real states. Such virtual particles were introduced for describing the interaction process between an electron and a positron and for much more complicated interaction processes. Other candidates for virtual photons are evanescent modes known from optics. Evanescent modes have a purely imaginary wave number, they represent the mathematical analogy of the tunneling solutions of the Schr\"odinger equation. Evanescent modes are present in the optical processes of total reflection and in undersized wave guides for instance. The most prominent example of the occurrence of evanescent modes is frustrated total internal reflection at double prisms. In 1949 Sommerfeld \cite{Sommerfeld} pointed out that this optical phenomenon represents the analogy of quantum mechanical tunneling. The evanescent modes and tunneling violate the theory of special relativity, obviously, they represent the exception which proves the special theory of relativity. We demonstrate the quantum mechanical behavior of evanescent modes \textbf{with digital microwave} signals at a macroscopic scale of the order of a meter and show that evanescent modes are well described by virtual photons as predicted by former QED calculations.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 18:16:37 GMT" } ]
2007-08-07T00:00:00
[ [ "Nimtz", "G.", "" ], [ "Stahlhofen", "A. A.", "" ] ]
0708.0682
Anton Zeitlin
Anton M. Zeitlin
Perturbed Beta-Gamma Systems and Complex Geometry
LaTeX2e, 27 pages
Nucl.Phys.B794:381-401,2008
10.1016/j.nuclphysb.2007.09.002
null
hep-th math-ph math.DG math.MP
null
We consider the equations, arising as the conformal invariance conditions of the perturbed curved beta-gamma system. These equations have the physical meaning of Einstein equations with a B-field and a dilaton on a hermitian manifold, where the B-field 2-form is imaginary and proportional to the canonical form associated with hermitian metric. We show that they decompose into linear and bilinear equations and lead to the vanishing of the first Chern class of the manifold where the system is defined. We discuss the relation of these equations to the generalized Maurer-Cartan structures related to BRST operator. Finally we describe the relations of the generalized Maurer-Cartan bilinear operation and the Courant/Dorfman brackets.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 18:25:14 GMT" } ]
2008-11-26T00:00:00
[ [ "Zeitlin", "Anton M.", "" ] ]
0708.0683
Creighton Thomas
Creighton K. Thomas, Olivia L. White, A. Alan Middleton
Persistence and Memory in Patchwork Dynamics for Glassy Models
4 pages, 4 figures; reference correction
Physical Review B 77, 092415 (2008)
10.1103/PhysRevB.77.092415
null
cond-mat.dis-nn cond-mat.stat-mech
null
Slow dynamics in disordered materials prohibits direct simulation of their rich nonequilibrium behavior at large scales. "Patchwork dynamics" is introduced to mimic relaxation over a very broad range of time scales by equilibrating or optimizing directly on successive length scales. This dynamics is used to study coarsening and to replicate memory effects for spin glasses and random ferromagnets. It is also used to find, with high confidence, exact ground states in large or toroidal samples.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 21:39:32 GMT" }, { "version": "v2", "created": "Fri, 10 Aug 2007 14:35:21 GMT" } ]
2009-06-30T00:00:00
[ [ "Thomas", "Creighton K.", "" ], [ "White", "Olivia L.", "" ], [ "Middleton", "A. Alan", "" ] ]
0708.0684
Madhurjya Bora
Madhurjya P Bora and Dipak Sarmah
Parametric excitation and chaos through dust-charge fluctuation in a dusty plasma
10 pages, 16 figures
null
null
null
nlin.CD physics.plasm-ph
null
We consider a van der Pol-Mathieu (vdPM) equation with parametric forcing, which arises in a simplified model of dusty plasma with dust-charge fluctuation. We make a detailed numerical investigation and show that the system can be driven to chaos either through a period doubling cascade or though a subcritical pitchfork bifurcation over an wide range of parameter space. We also discuss the frequency entrainment or frequency-locked phase of the dust-charge fluctuation dynamics and show that the system exhibits 2:1 parametric resonance away from the chaotic regime.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 19:08:43 GMT" } ]
2007-08-07T00:00:00
[ [ "Bora", "Madhurjya P", "" ], [ "Sarmah", "Dipak", "" ] ]
0708.0685
Manlio Tassieri
Manlio Tassieri, R. M. L. Evans, Lucian Barbu-Tudoran, G. Nasir Khan, John Trinick, Tom A. Waigh
Dynamics of semi-flexible polymer solutions in the highly entangled regime
4 pages, 6 figures, Phys. Rev. Lett. (accepted)
null
10.1103/PhysRevLett.101.198301
null
cond-mat.soft
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present experimental evidence that the effective medium approximation (EMA), developed by D.C. Morse [Phys. Rev. E {\bf 63}, 031502, (2001)], provides the correct scaling law of the macroscopic plateau modulus $G^{0}\propto\rho^{4/3}L^{-1/3}_{p}$ (where $\rho$ is the contour length per unit volume and $L_{p}$ is the persistence length) of semi-flexible polymer solutions, in the highly entangled concentration regime. Competing theories, including a self-consistent binary collision approximation (BCA), have instead predicted $G^{0}\propto\rho^{7/5}L^{-1/5}_{p}$. We have tested both the EMA and BCA scaling predictions using actin filament (F-actin) solutions which permit experimental control of $L_p$ independently of other parameters. A combination of passive video particle tracking microrheology and dynamic light scattering yields independent measurements of the elastic modulus $G$ and $L_{p}$ respectively. Thus we can distinguish between the two proposed laws, in contrast to previous experimental studies, which focus on the (less discriminating) concentration functionality of $G$.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 19:25:13 GMT" }, { "version": "v2", "created": "Fri, 17 Oct 2008 16:27:18 GMT" } ]
2009-11-13T00:00:00
[ [ "Tassieri", "Manlio", "" ], [ "Evans", "R. M. L.", "" ], [ "Barbu-Tudoran", "Lucian", "" ], [ "Khan", "G. Nasir", "" ], [ "Trinick", "John", "" ], [ "Waigh", "Tom A.", "" ] ]
0708.0686
Stefano Isola
Claudio Bonanno, Sandro Graffi, Stefano Isola
Spectral analysis of transfer operators associated to Farey fractions
28 pages, 1 figure
null
null
null
math-ph math.DS math.MP
null
The spectrum of a one-parameter family of signed transfer operators associated to the Farey map is studied in detail. We show that when acting on a suitable Hilbert space of analytic functions they are self-adjoint and exhibit absolutely continuous spectrum and no non-zero point spectrum. Polynomial eigenfunctions when the parameter is a negative half-integer are also discussed.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 19:29:17 GMT" } ]
2007-08-07T00:00:00
[ [ "Bonanno", "Claudio", "" ], [ "Graffi", "Sandro", "" ], [ "Isola", "Stefano", "" ] ]
0708.0687
Subir Sachdev
Adrian del Maestro, Bernd Rosenow, Nayana Shah, and Subir Sachdev
Universal thermal and electrical transport near the superconductor-metal quantum phase transition in nanowires
4 pages, 1 figure
Physical Review B 77, 180501 (2008)
10.1103/PhysRevB.77.180501
null
cond-mat.supr-con cond-mat.str-el
null
We describe the thermal and electrical conductivities of quasi-one dimensional wires, across a quantum phase transition from a superconductor to a metal induced by pairbreaking perturbations. Fluctuation corrections to BCS theory motivate a field theory for quantum criticality. We describe deviations in the Wiedemann-Franz ratio from the Lorenz number, which can act as sensitive tests of the theory. We also describe the crossovers out of the quantum critical region into the metallic and superconducting phases.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 20:00:50 GMT" } ]
2008-05-09T00:00:00
[ [ "del Maestro", "Adrian", "" ], [ "Rosenow", "Bernd", "" ], [ "Shah", "Nayana", "" ], [ "Sachdev", "Subir", "" ] ]
0708.0688
Tal Alexander
Tal Alexander (Weizmann Institute of Science)
Stellar Relaxation Processes Near the Galactic Massive Black Hole
Invited talk. To appear in "2007 STScI spring symposium: Black Holes", eds, M. Livio & A. M. Koekemoer, Cambridge University Press, in press. 25 pages, 13 figures
null
null
null
astro-ph
null
The massive black hole (MBH) in the Galactic Center and the stars around it form a unique stellar dynamics laboratory for studying how relaxation processes affect the distribution of stars and compact remnants and lead to close interactions between them and the MBH. Recent theoretical studies suggest that processes beyond "minimal" two-body relaxation may operate and even dominate relaxation and its consequences in the Galactic Center. I describe loss-cone refilling by massive perturbers, strong mass segregation and resonant relaxation; review observational evidence that these processes play a role in the Galactic Center; and discuss some cosmic implications for the rates of gravitational wave emission events from compact remnants inspiraling into MBHs, and the coalescence timescales of binary MBHs.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 22:52:30 GMT" } ]
2007-08-07T00:00:00
[ [ "Alexander", "Tal", "", "Weizmann Institute of Science" ] ]
0708.0689
Nicholas Young
N. J. Young
The automorphism group of the tetrablock
13 pages, 0 figures
null
10.1112/jlms/jdn010
null
math.CV
null
The tetrablock is a domain in 3-dimensional complex space that meets 3-dimensional Euclidean space in a regular tetrahedron. It is shown to be inhomogeneous and its automorphism group is determined. A type of Schwarz lemma for the tetrablock is proved. The action of the automorphism group is described in terms of a certain natural foliation of the tetrablock by complex geodesic discs.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 21:01:43 GMT" } ]
2014-02-26T00:00:00
[ [ "Young", "N. J.", "" ] ]
0708.0690
Henning Schomerus
Marten Kopp, Henning Schomerus, Stefan Rotter
Staggered repulsion of transmission eigenvalues in symmetric open mesoscopic systems
11 pages, 6 Figures, substantially extended
Phys. Rev. B 78, 075312 (2008)
10.1103/PhysRevB.78.075312
null
cond-mat.mes-hall
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Quantum systems with discrete symmetries can usually be desymmetrized, but this strategy fails when considering transport in open systems with a symmetry that maps different openings onto each other. We investigate the joint probability density of transmission eigenvalues for such systems in random-matrix theory. In the orthogonal symmetry class we show that the eigenvalue statistics manifests level repulsion between only every second transmission eigenvalue. This finds its natural statistical interpretation as a staggeredsuperposition of two eigenvalue sequences. For a large number of channels, the statistics for a system with a lead-transposing symmetry approaches that of a superposition of two uncorrelated sets of eigenvalues as in systems with a lead-preserving symmetry (which can be desymmetrized). These predictions are confirmed by numerical computations of the transmission-eigenvalue spacing distribution for quantum billiards and for the open kicked rotator.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 21:51:49 GMT" }, { "version": "v2", "created": "Fri, 8 Aug 2008 19:55:08 GMT" } ]
2008-08-14T00:00:00
[ [ "Kopp", "Marten", "" ], [ "Schomerus", "Henning", "" ], [ "Rotter", "Stefan", "" ] ]
0708.0691
Kathrin Bringmann
Kathrin Bringmann
Asymptotics for rank partition functions
19 pages Transactions of the AMS, accepted for publication
null
null
null
math.NT
null
In this paper, we obtain asymptotic formulas for an infinite class of rank generating functions. As an application, we solve a conjecture of Andrews and Lewis on inequalities between certain ranks.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 22:33:23 GMT" } ]
2007-08-07T00:00:00
[ [ "Bringmann", "Kathrin", "" ] ]
0708.0692
Kathrin Bringmann
Kathrin Bringmann and Jeremy Lovejoy
Dyson's Rank, overpartitions, and weak Maass forms
24 pages IMRN, accepted for publication
null
null
null
math.NT
null
In a series of papers the first author and Ono connected the rank, a partition statistic introduced by Dyson, to weak Maass forms, a new class of functions which are related to modular forms. Naturally it is of wide interest to find other explicit examples of Maass forms. Here we construct a new infinite family of such forms, arising from overpartitions. As applications we obtain combinatorial decompositions of Ramanujan-type congruences for overpartitions as well as the modularity of rank differences in certain arithmetic progressions.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 22:36:49 GMT" } ]
2007-08-07T00:00:00
[ [ "Bringmann", "Kathrin", "" ], [ "Lovejoy", "Jeremy", "" ] ]
0708.0693
L. C. Garcia de Andrade
Garcia de Andrade
Stretch fast dynamo mechanism via conformal mapping in Riemannian manifolds
Depto de fisica terica, UERJ, Rio de Janeiro, Brasil
null
null
null
math-ph math.MP
null
Two new analytical solutions of self-induction equation, in Riemannian manifolds are presented. The first represents a twisted magnetic flux tube or flux rope in plasma astrophysics, which shows that the depending on rotation of the flow the poloidal field is amplified from toroidal field which represents a dynamo. The value of the amplification depends on the Frenet torsion of the magnetic axis of the tube. Actually this result illustrates the Zeldovich stretch, twist and fold (STF) method to generate dynamos from straight and untwisted ropes. Motivated by the fact that this problem was treated using a Riemannian geometry of twisted magnetic flux ropes recently developed (Phys Plasmas (2006)), we investigated a second dynamo solution which is conformally related to the Arnold kinematic fast dynamo. In this solution it is shown that the conformal effect on the fast dynamo metric only enhances the Zeldovich stretch, and therefore a new dynamo solution is obtained. When a conformal mapping is performed in Arnold fast dynamo line element a uniform stretch is obtained in the original line element.
[ { "version": "v1", "created": "Sun, 5 Aug 2007 23:12:42 GMT" } ]
2007-08-07T00:00:00
[ [ "de Andrade", "Garcia", "" ] ]
0708.0694
Maurice H. T. Ling
Maurice HT Ling, Christophe Lefevre, Kevin R. Nicholas, and Feng Lin
Reconstruction of Protein-Protein Interaction Pathways by Mining Subject-Verb-Objects Intermediates
2nd IAPR Workshop on Pattern Recognition in Bioinformatics (PRIB 2007). 14 pages, 4 figures
Ling, Maurice HT, Lefevre, Christophe, Nicholas, Kevin R, Lin, Feng. 2007. In J.C. Ragapakse, B. Schmidt, and G. Volkert (Eds.), PRIB 2007. Lecture Notes in Bioinformatics 4774: 286-299. Springer-Verlag.
null
null
cs.IR cs.CL cs.DL
null
The exponential increase in publication rate of new articles is limiting access of researchers to relevant literature. This has prompted the use of text mining tools to extract key biological information. Previous studies have reported extensive modification of existing generic text processors to process biological text. However, this requirement for modification had not been examined. In this study, we have constructed Muscorian, using MontyLingua, a generic text processor. It uses a two-layered generalization-specialization paradigm previously proposed where text was generically processed to a suitable intermediate format before domain-specific data extraction techniques are applied at the specialization layer. Evaluation using a corpus and experts indicated 86-90% precision and approximately 30% recall in extracting protein-protein interactions, which was comparable to previous studies using either specialized biological text processing tools or modified existing tools. Our study had also demonstrated the flexibility of the two-layered generalization-specialization paradigm by using the same generalization layer for two specialized information extraction tasks.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 01:22:46 GMT" } ]
2007-08-07T00:00:00
[ [ "Ling", "Maurice HT", "" ], [ "Lefevre", "Christophe", "" ], [ "Nicholas", "Kevin R.", "" ], [ "Lin", "Feng", "" ] ]
0708.0695
Shunichi Arisawa
I. Iguchi, S. Arisawa, T. Uchiyama, K-S. Yun, T. Hatano and I. Tanaka
Direct observation of quantized interlayer vortex flow and vortex pinning distribution in high-Tc La_(1.87)Sr_(0.13)CuO_4 single crystals
16 pages, 4 figures
null
10.1063/1.2815659
null
cond-mat.supr-con
null
A scanning superconducting quantum interference device (SQUID) microscope (SSM) is used to study the magnetic imaging of dynamic motion of quantized interlayer vortices induced by the Lorentz force in anisotropic high-Tc La_(1.87)Sr_(0.13)CuO_4 single crystals. It is found that 3 modes of flux motion switch depending on the transport current. By increasing the current a transition from the creep-like behavior of vortices to a steady flow of vortices was observed. Even higher current induced a continuous expansion of vortex-flow area indicating an inhomogeneous distribution of various pinning centers.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 01:41:55 GMT" } ]
2009-11-13T00:00:00
[ [ "Iguchi", "I.", "" ], [ "Arisawa", "S.", "" ], [ "Uchiyama", "T.", "" ], [ "Yun", "K-S.", "" ], [ "Hatano", "T.", "" ], [ "Tanaka", "I.", "" ] ]
0708.0696
Xiang-Dong Li
Xiao-Jie Xu and Xiang-Dong Li
Thermal Timescale Mass Transfer Rates in Intermediate-Mass X-ray Binaries
13 pages, 4 figures, and 2 tables, accepted for publication in A&A
null
10.1051/0004-6361:20077637
null
astro-ph
null
Thermal timescale mass transfer generally occurs in close binaries where the donor star is more massive than the accreting star. The mass transfer rates are usually estimated in terms of the Kelvin-Helmholtz timescale of the donor star. But recent investigations indicate that this method may overestimate the real mass transfer rates in accreting white dwarf or neutron star binary systems. We have systematically investigated the thermal-timescale mass transfer processes in intermediate-mass X-ray binaries, by calculating binary evolution sequences with various initial donor masses and orbital periods. From the calculated results we find that on average the mass transfer rates are lower than traditional estimates by a factor of $\sim 4$.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 02:01:21 GMT" } ]
2009-11-13T00:00:00
[ [ "Xu", "Xiao-Jie", "" ], [ "Li", "Xiang-Dong", "" ] ]
0708.0697
Nasir Ganikhodjaev
N. N. Ganikhodjaev, M. R. B. Wahiddin, D.V.Zanin
Regularity of some class of nonlinear transformations
13 pages
null
null
null
math.DS
null
In this paper we consider quadratic stochastic operators designed on finite Abelian groups. It is proved that such operators have the property of regularity.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 02:26:48 GMT" } ]
2007-08-07T00:00:00
[ [ "Ganikhodjaev", "N. N.", "" ], [ "Wahiddin", "M. R. B.", "" ], [ "Zanin", "D. V.", "" ] ]
0708.0698
Yoshiaki Tanida
Yoshiaki Tanida, Masakatsu Ito, Hideaki Fujitani
Calculation of absolute free energy of binding for theophylline and its analogs to RNA aptamer using nonequilibrium work values
23 pages including 6 figures
null
10.1016/j.chemphys.2007.07.014
null
cond-mat.soft
null
The massively parallel computation of absolute binding free energy with a well-equilibrated system (MP-CAFEE) has been developed [H. Fujitani, Y. Tanida, M. Ito, G. Jayachandran, C. D. Snow, M. R. Shirts, E. J. Sorin, and V. S. Pande, J. Chem. Phys. ${\bf 123}$, 084108 (2005)]. As an application, we perform the binding affinity calculations of six theophylline-related ligands with RNA aptamer. Basically, our method is applicable when using many compute nodes to accelerate simulations, thus a parallel computing system is also developed. To further reduce the computational cost, the adequate non-uniform intervals of coupling constant $\lambda$, connecting two equilibrium states, namely bound and unbound, are determined. The absolute binding energies $\Delta G$ thus obtained have effective linear relation between the computed and experimental values. If the results of two other different methods are compared, thermodynamic integration (TI) and molecular mechanics Poisson-Boltzmann surface area (MM-PBSA) by the paper of Gouda $et al$ [H. Gouda, I. D. Kuntz, D. A. Case, and P. A. Kollman, Biopolymers ${\bf 68}$, 16 (2003)], the predictive accuracy of the relative values $\Delta\Delta G$ is almost comparable to that of TI: the correlation coefficients (R) obtained are 0.99 (this work), 0.97 (TI), and 0.78 (MM-PBSA). On absolute binding energies meanwhile, a constant energy shift of $\sim$ -7 kcal/mol against the experimental values is evident. To solve this problem, several presumable reasons are investigated.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 12:52:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Tanida", "Yoshiaki", "" ], [ "Ito", "Masakatsu", "" ], [ "Fujitani", "Hideaki", "" ] ]
0708.0699
Kaspar von Braun
Kaspar von Braun (1), Gerard T. van Belle (1), David Ciardi (1), Mercedes Lopez-Morales (2), D. W. Hoard (3), Stefanie Wachter (3) ((1) Michelson Science Center, Caltech (2) Department of Terrestrial Magnetism, Carnegie Institution of Washington (3) Spitzer Science Center, Caltech)
The Spitzer 24-micron Photometric Light Curve of the Eclipsing M-dwarf Binary GU Bootis
7 pages, 3 figures, 2 tables. To appear in the ASP Conference Series "Cool Stars", editors G. T. van Belle and L. Rebull
null
null
null
astro-ph
null
We present a carefully controlled set of Spitzer 24 \micron MIPS time series observations of the low mass eclipsing binary star GU Bo\"otis (GU Boo). Our data cover three secondary eclipses of the system: two consecutive events and an additional eclipse six weeks later. The study's main purpose is the long wavelength characterization of GU Boo's light curve, independent of limb darkening and less sensitive to surface features such as spots. Its analysis allows for independent verification of the results of optical studies of GU Boo. Our mid-infrared results show good agreement with previously obtained system parameters. In addition, the analysis of light curves of other objects in the field of view serves to characterize the photometric stability and repeatability of {\it Spitzer's} MIPS-24 at flux densities between approximately 300--2,000$\mu$Jy. We find that the light curve root mean square about the median level falls into the 1--4% range for flux densities higher than 1 mJy.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 03:03:52 GMT" } ]
2007-08-07T00:00:00
[ [ "von Braun", "Kaspar", "" ], [ "van Belle", "Gerard T.", "" ], [ "Ciardi", "David", "" ], [ "Lopez-Morales", "Mercedes", "" ], [ "Hoard", "D. W.", "" ], [ "Wachter", "Stefanie", "" ] ]
0708.0700
Igor Tanski
Igor A. Tanski
Spectral decomposition approach to macroscopic parameters of Fokker-Planck flows: Part 2
Postscript, 10 pages. Changes: removed $a sub 1, a sub 2, a sub 3$ multiplier at (1), (3), (7) and (25)
null
null
null
nlin.CD
null
In this paper we proceed with investigation of connections between Fokker - Planck equation and continuum mechanics. We base upon expressions from our work [2], based upon the spectral decomposition of Fokker - Planck equation solution. In this decomposition we preserve only terms with the smallest degrees of damping. We find, that macroscopic parameters of Fokker-Planck flows, obtained in this way, satisfy the set of conservation laws of classic hydrodynamics. The expression for stresses (30) contains additional term - this term is negligible in big times limit. We proved also, that the velocities field alone satisfy Burgers equation without mass forces - but with some additional term. This term is also negligible in big times limit. For the zero degree theory, considered in [1], there are no additional terms. But this theory is valid only for the potential velocities field, fully deductible from density - the potential is proportional to density logarithm. In this theory we can not specify initial conditions for velocities independently from density. Taking in account of the next degree terms could partly solve this problem, but result in some loss of exactness.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 03:24:28 GMT" }, { "version": "v2", "created": "Mon, 17 Sep 2007 03:44:54 GMT" } ]
2007-09-17T00:00:00
[ [ "Tanski", "Igor A.", "" ] ]
0708.0701
Lars Kecke
Lars Kecke, Tsutomu Momoi, Akira Furusaki
Multi-magnon bound states in the frustrated ferromagnetic 1D chain
5 pages, 3 figures
Phys. Rev. B 76, 060407(R) (2007)
10.1103/PhysRevB.76.060407
null
cond-mat.other
null
We study a one-dimensional Heisenberg chain with competing ferromagnetic nearest-neighbor and antiferromagnetic next-nearest neighbor interactions in magnetic field. Starting from the fully polarized high-field state, we calculate the dispersions of the lowest-lying $n$-magnon excitations and the saturation field (n=2,3,4). We show that the lowest-lying excitations are always bound multi-magnon states with a total momentum of $\pi$ except for a small parameter range. We argue that bose condensation of the bound $n$ magnons leads to novel Tomonaga-Luttinger liquids with multi-polar correlations; nematic and triatic ordered liquids correspond to n=2 and n=3.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 03:15:08 GMT" } ]
2007-08-27T00:00:00
[ [ "Kecke", "Lars", "" ], [ "Momoi", "Tsutomu", "" ], [ "Furusaki", "Akira", "" ] ]
0708.0702
Ryu Sasaki
Ryu Sasaki
Quasi Exactly Solvable Difference Equations
LaTeX with amsfonts, no figure, 17 pages, a few typos corrected, a reference renewed, 3/2 pages comments on hermiticity added
null
10.1063/1.2818560
YITP-07-42
nlin.SI hep-th math-ph math.MP quant-ph
null
Several explicit examples of quasi exactly solvable `discrete' quantum mechanical Hamiltonians are derived by deforming the well-known exactly solvable Hamiltonians of one degree of freedom. These are difference analogues of the well-known quasi exactly solvable systems, the harmonic oscillator (with/without the centrifugal potential) deformed by a sextic potential and the 1/sin^2x potential deformed by a cos2x potential. They have a finite number of exactly calculable eigenvalues and eigenfunctions.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 03:49:35 GMT" }, { "version": "v2", "created": "Thu, 11 Oct 2007 06:04:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Sasaki", "Ryu", "" ] ]
0708.0703
Yong Chen
Yong Chen, Lianchun Yu, and Shao-Meng Qin
Detection of subthreshold pulses in neurons with channel noise
14 pages, 9 figures
Physcial Review E 78, 051909 (2008)
10.1103/PhysRevE.78.051909
null
q-bio.NC q-bio.SC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Neurons are subject to various kinds of noise. In addition to synaptic noise, the stochastic opening and closing of ion channels represents an intrinsic source of noise that affects the signal processing properties of the neuron. In this paper, we studied the response of a stochastic Hodgkin-Huxley neuron to transient input subthreshold pulses. It was found that the average response time decreases but variance increases as the amplitude of channel noise increases. In the case of single pulse detection, we show that channel noise enables one neuron to detect the subthreshold signals and an optimal membrane area (or channel noise intensity) exists for a single neuron to achieve optimal performance. However, the detection ability of a single neuron is limited by large errors. Here, we test a simple neuronal network that can enhance the pulse detecting abilities of neurons and find dozens of neurons can perfectly detect subthreshold pulses. The phenomenon of intrinsic stochastic resonance is also found both at the level of single neurons and at the level of networks. At the network level, the detection ability of networks can be optimized for the number of neurons comprising the network.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 05:15:44 GMT" }, { "version": "v2", "created": "Fri, 14 Nov 2008 00:25:11 GMT" } ]
2008-11-14T00:00:00
[ [ "Chen", "Yong", "" ], [ "Yu", "Lianchun", "" ], [ "Qin", "Shao-Meng", "" ] ]
0708.0704
Hossein Hajiabolhassan
Hossein Hajiabolhassan
On Colorings of Graph Powers
null
null
null
null
math.CO
null
In this paper, some results concerning the colorings of graph powers are presented. The notion of helical graphs is introduced. We show that such graphs are hom-universal with respect to high odd-girth graphs whose $(2t+1)$st power is bounded by a Kneser graph. Also, we consider the problem of existence of homomorphism to odd cycles. We prove that such homomorphism to a $(2k+1)$-cycle exists if and only if the chromatic number of the $(2k+1)$st power of $S_2(G)$ is less than or equal to 3, where $S_2(G)$ is the 2-subdivision of $G$. We also consider Ne\v{s}et\v{r}il's Pentagon problem. This problem is about the existence of high girth cubic graphs which are not homomorphic to the cycle of size five. Several problems which are closely related to Ne\v{s}et\v{r}il's problem are introduced and their relations are presented.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 18:51:44 GMT" }, { "version": "v2", "created": "Tue, 7 Aug 2007 10:04:48 GMT" }, { "version": "v3", "created": "Wed, 8 Aug 2007 08:23:33 GMT" }, { "version": "v4", "created": "Thu, 23 Aug 2007 18:58:08 GMT" }, { "version": "v5", "created": "Fri, 28 Mar 2008 21:19:05 GMT" } ]
2008-03-31T00:00:00
[ [ "Hajiabolhassan", "Hossein", "" ] ]
0708.0705
Taichiro Takagi
Taichiro Takagi
Creation of ballot sequences in a periodic cellular automaton
31 pages. Section 1 changed and section 5 added
J. Phys. Soc. Jpn. 78 (2009) 024003
10.1143/JPSJ.78.024003
null
nlin.SI math.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Motivated by an attempt to develop a method for solving initial value problems in a class of one dimensional periodic cellular automata (CA) associated with crystal bases and soliton equations, we consider a generalization of a simple proposition in elementary mathematics. The original proposition says that any sequence of letters 1 and 2, having no less 1's than 2's, can be changed into a ballot sequence via cyclic shifts only. We generalize it to treat sequences of cells of common capacity s > 1, each of them containing consecutive 2's (left) and 1's (right), and show that these sequences can be changed into a ballot sequence via two manipulations, cyclic and "quasi-cyclic" shifts. The latter is a new CA rule and we find that various kink-like structures are traveling along the system like particles under the time evolution of this rule.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 07:31:38 GMT" }, { "version": "v2", "created": "Mon, 13 Aug 2007 14:06:31 GMT" }, { "version": "v3", "created": "Tue, 28 Aug 2007 07:10:50 GMT" }, { "version": "v4", "created": "Tue, 10 Feb 2009 03:01:14 GMT" } ]
2009-02-10T00:00:00
[ [ "Takagi", "Taichiro", "" ] ]
0708.0706
Hou Ian
H. Ian, Z. R. Gong, C. P. Sun
Noise Suppression for Micromechanical Resonator via Intrinsic Dynamic Feedback
11 pages, 7 figures
Front. Phys. China 3, 294 (2008)
10.1007/s11467-008-0025-z
null
cond-mat.mes-hall quant-ph
null
We study a dynamic mechanism to passively suppress the thermal noise of a micromechanical resonator through an intrinsic self-feedback that is genuinely non-Markovian. We use two coupled resonators, one as the target resonator and the other as an ancillary resonator, to illustrate the mechanism and its noise reduction effect. The intrinsic feedback is realized through the dynamics of coupling between the two resonators: the motions of the target resonator and the ancillary resonator mutually influence each other in a cyclic fashion. Specifically, the states that the target resonator has attained earlier will affect the state it attains later due to the presence of the ancillary resonator. We show that the feedback mechanism will bring forth the effect of noise suppression in the spectrum of displacement, but not in the spectrum of momentum.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 06:19:22 GMT" }, { "version": "v2", "created": "Mon, 5 Nov 2007 10:04:51 GMT" } ]
2009-11-13T00:00:00
[ [ "Ian", "H.", "" ], [ "Gong", "Z. R.", "" ], [ "Sun", "C. P.", "" ] ]
0708.0707
Pulak Ranjan Giri
Pulak Ranjan Giri
Hidden scale in quantum mechanics
4 pages, 5 figures
Mod.Phys.Lett.A24:2203-2211,2009
10.1142/S0217732309030102
SINP/TNP/2007/19
hep-th quant-ph
null
We show that the intriguing localization of a free particle wave-packet is possible due to a hidden scale present in the system. Self-adjoint extensions (SAE) is responsible for introducing this scale in quantum mechanical models through the nontrivial boundary conditions. We discuss a couple of classically scale invariant free particle systems to illustrate the issue. In this context it has been shown that a free quantum particle moving on a full line may have localized wave-packet around the origin. As a generalization, it has also been shown that particles moving on a portion of a plane or on a portion of a three dimensional space can have unusual localized wave-packet.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 06:22:14 GMT" } ]
2010-11-15T00:00:00
[ [ "Giri", "Pulak Ranjan", "" ] ]
0708.0708
Chul-Moon Yoo
Chul-Moon Yoo, Hideki Ishihara, Masashi Kimura, Ken Matsuno and Shinya Tomizawa
Horizons of Coalescing Black Holes on Eguchi-Hanson Space
20 pages, 11 figures CQG accepted version
Class.Quant.Grav.25:095017,2008
10.1088/0264-9381/25/9/095017
OCU-PHYS-272, AP-GR-46,YITP-08-09
gr-qc hep-th
null
Using the numerical method, we study dynamics of coalescing black holes on the Eguchi-Hanson base space. Effects of a difference in spacetime topology on the black hole dynamics is discussed. We analyze appearance and disappearance process of marginal surfaces. In our calculation, the area of a coverall black hole horizon at the creation time in the coalescing black holes solutions on Eguchi-Hanson space is larger than that in the five-dimensional Kastor-Traschen solutions. This fact suggests that the black hole production on the Eguchi-Hanson space is easier than that on the flat space.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 06:37:33 GMT" }, { "version": "v2", "created": "Wed, 9 Apr 2008 07:34:18 GMT" } ]
2008-11-26T00:00:00
[ [ "Yoo", "Chul-Moon", "" ], [ "Ishihara", "Hideki", "" ], [ "Kimura", "Masashi", "" ], [ "Matsuno", "Ken", "" ], [ "Tomizawa", "Shinya", "" ] ]
0708.0709
Valerio Scarani
Valerio Scarani, Renato Renner
Quantum cryptography with finite resources: unconditional security bound for discrete-variable protocols with one-way post-processing
null
Phys. Rev. Lett. 100, 200501 (2008)
10.1103/PhysRevLett.100.200501
null
quant-ph
null
We derive a bound for the security of QKD with finite resources under one-way post-processing, based on a definition of security that is composable and has an operational meaning. While our proof relies on the assumption of collective attacks, unconditional security follows immediately for standard protocols like Bennett-Brassard 1984 and six-states. For single-qubit implementations of such protocols, we find that the secret key rate becomes positive when at least N\sim 10^5 signals are exchanged and processed. For any other discrete-variable protocol, unconditional security can be obtained using the exponential de Finetti theorem, but the additional overhead leads to very pessimistic estimates.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 07:33:13 GMT" }, { "version": "v2", "created": "Sun, 1 Jun 2008 02:23:31 GMT" } ]
2009-11-13T00:00:00
[ [ "Scarani", "Valerio", "" ], [ "Renner", "Renato", "" ] ]
0708.0710
Roberto De Renzi
S. Sanna, F. Coneri, A. Rigoldi, G. Concas and R. De Renzi
Evidence of two distinct charge carriers in underdoped high Tc cuprates
4 pages, 4 figures
null
10.1103/PhysRevB.77.224511
null
cond-mat.str-el cond-mat.supr-con
null
We present results on heavily underdoped Y_1-xCa_xBa_2Cu_3O_6+y which provide the evidence that the doping mechanism (cation substitution or oxygen loading) directly determines whether the corresponding injected mobile holes contribute to superconductivity or only to the normal metallic properties. We argue that this hole tagging calls for a subtler description of the correlated bands than the usual one. We also map in great detail the underdoped superconducting phase diagram T_c vs. hole doping which shows that the number of mobile holes is not the critical parameter for the superconductivity.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 17:03:06 GMT" }, { "version": "v2", "created": "Fri, 26 Oct 2007 11:11:38 GMT" } ]
2013-05-29T00:00:00
[ [ "Sanna", "S.", "" ], [ "Coneri", "F.", "" ], [ "Rigoldi", "A.", "" ], [ "Concas", "G.", "" ], [ "De Renzi", "R.", "" ] ]
0708.0711
C. P. Robert
R. Douc, A. Guillin, J.-M. Marin, C. P. Robert
Convergence of adaptive mixtures of importance sampling schemes
Published at http://dx.doi.org/10.1214/009053606000001154 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Statistics (2007), Vol. 35, No. 1, 420-448
10.1214/009053606000001154
IMS-AOS-AOS0211
math.ST stat.CO stat.TH
null
In the design of efficient simulation algorithms, one is often beset with a poor choice of proposal distributions. Although the performance of a given simulation kernel can clarify a posteriori how adequate this kernel is for the problem at hand, a permanent on-line modification of kernels causes concerns about the validity of the resulting algorithm. While the issue is most often intractable for MCMC algorithms, the equivalent version for importance sampling algorithms can be validated quite precisely. We derive sufficient convergence conditions for adaptive mixtures of population Monte Carlo algorithms and show that Rao--Blackwellized versions asymptotically achieve an optimum in terms of a Kullback divergence criterion, while more rudimentary versions do not benefit from repeated updating.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 07:39:35 GMT" } ]
2010-10-11T00:00:00
[ [ "Douc", "R.", "" ], [ "Guillin", "A.", "" ], [ "Marin", "J. -M.", "" ], [ "Robert", "C. P.", "" ] ]
0708.0712
Stephanie Gerbaud
St\'ephanie Gerbaud (IRISA), Nicolas Mollet (IRISA), Bruno Arnaldi (IRISA)
Virtual Environments for Training: From Individual Learning to Collaboration with Humanoids
null
Dans Edutainment (2007)
null
null
cs.GR
null
The next generation of virtual environments for training is oriented towards collaborative aspects. Therefore, we have decided to enhance our platform for virtual training environments, adding collaboration opportunities and integrating humanoids. In this paper we put forward a model of humanoid that suits both virtual humans and representations of real users, according to collaborative training activities. We suggest adaptations to the scenario model of our platform making it possible to write collaborative procedures. We introduce a mechanism of action selection made up of a global repartition and an individual choice. These models are currently being integrated and validated in GVT, a virtual training tool for maintenance of military equipments, developed in collaboration with the French company NEXTER-Group.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 07:42:56 GMT" } ]
2007-08-07T00:00:00
[ [ "Gerbaud", "Stéphanie", "", "IRISA" ], [ "Mollet", "Nicolas", "", "IRISA" ], [ "Arnaldi", "Bruno", "", "IRISA" ] ]
0708.0713
Radu Grigore
Radu Grigore and Micha{\l} Moskal
Edit and verify
null
null
null
null
cs.LO
null
Automated theorem provers are used in extended static checking, where they are the performance bottleneck. Extended static checkers are run typically after incremental changes to the code. We propose to exploit this usage pattern to improve performance. We present two approaches of how to do so and a full solution.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 07:47:34 GMT" } ]
2007-08-07T00:00:00
[ [ "Grigore", "Radu", "" ], [ "Moskal", "Michał", "" ] ]
0708.0714
Neil Saunders
Neil Saunders
A Strict Inequality for a Minimal Degree of a Direct Product
8 pages
null
null
null
math.GR
null
The minimal faithful permutation degree of a finite group G is the least non-negative integer n such that G embeds in the symmetric group Sym(n). Work of Johnson and Wright established conditions for when the minimal degree of a direct product equals the sum of the minimal degrees for two finite groups. Wright asked whether this is true for all finite groups. A counter- example of degree 15 was provided by the referee and was added as an addendum in a paper of Wright. Here we provide a counter-example of degree 12.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 07:50:53 GMT" }, { "version": "v2", "created": "Tue, 7 Aug 2007 09:23:29 GMT" } ]
2007-08-07T00:00:00
[ [ "Saunders", "Neil", "" ] ]
0708.0715
Samuel S. Wu
Samuel S. Wu, Weizhen Wang
Step-up simultaneous tests for identifying active effects in orthogonal saturated designs
Published at http://dx.doi.org/10.1214/009053606000001136 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Statistics 2007, Vol. 35, No. 1, 449-463
10.1214/009053606000001136
IMS-AOS-AOS0209
math.ST stat.TH
null
A sequence of null hypotheses regarding the number of negligible effects (zero effects) in orthogonal saturated designs is formulated. Two step-up simultaneous testing procedures are proposed to identify active effects (nonzero effects) under the commonly used assumption of effect sparsity. It is shown that each procedure controls the experimentwise error rate at a given $\alpha$ level in the strong sense.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 07:51:34 GMT" } ]
2009-09-29T00:00:00
[ [ "Wu", "Samuel S.", "" ], [ "Wang", "Weizhen", "" ] ]
0708.0716
Ryu Sasaki
Satoru Odake and Ryu Sasaki
Multi-Particle Quasi Exactly Solvable Difference Equations
LaTeX with amsfonts, amssymb, amsmath, no figure, 12 pages
J.Math.Phys.48:122105,2007
10.1063/1.2818561
DPSU-07-3, YITP-07-44
nlin.SI hep-th math-ph math.MP quant-ph
null
Several explicit examples of multi-particle quasi exactly solvable `discrete' quantum mechanical Hamiltonians are derived by deforming the well-known exactly solvable multi-particle Hamiltonians, the Ruijsenaars-Schneider-van Diejen systems. These are difference analogues of the quasi exactly solvable multi-particle systems, the quantum Inozemtsev systems obtained by deforming the well-known exactly solvable Calogero-Sutherland systems. They have a finite number of exactly calculable eigenvalues and eigenfunctions. This paper is a multi-particle extension of the recent paper by one of the authors on deriving quasi exactly solvable difference equations of single degree of freedom.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 07:55:46 GMT" } ]
2014-11-18T00:00:00
[ [ "Odake", "Satoru", "" ], [ "Sasaki", "Ryu", "" ] ]
0708.0717
Eric Abel
E.T. Abel, K. Matan, F.C. Chou, E.D. Isaacs, D.E. Moncton, H. Sinn, A. Alatas, Y.S. Lee
X-ray Scattering Study of the spin-Peierls transition and soft phonon behavior in TiOCl
14 pages, 14 figures
null
10.1103/PhysRevB.76.214304
null
cond-mat.str-el
null
We have studied the S=1/2 quasi-one-dimensional antiferromagnet TiOCl using single crystal x-ray diffraction and inelastic x-ray scattering techniques. The Ti ions form staggered spin chains which dimerize below Tc1 = 66 K and have an incommensurate lattice distortion between Tc1 and Tc2 = 92 K. Based on our measurements of the intensities, wave vectors, and harmonics of the incommensurate superlattice peaks, we construct a model for the incommensurate modulation. The results are in good agreement with a soliton lattice model, though some quantitative discrepancies exist near Tc2. The behavior of the phonons has been studied using inelastic x-ray scattering with ~2 meV energy resolution. For the first time, a zone boundary phonon which softens at the spin-Peierls temperature Tsp has been observed. Our results show reasonably good quantitative agreement with the Cross-Fisher theory for the phonon dynamics at wave vectors near the zone boundary and temperatures near Tsp. However, not all aspects of the data can be described, such as the strong overdamping of the soft mode above Tsp. Overall, our results show that TiOCl is a good realization of a spin-Peierls system, where the phonon softening allows us to identify the transition temperature as Tsp=Tc2=92 K
[ { "version": "v1", "created": "Mon, 6 Aug 2007 08:00:04 GMT" } ]
2009-11-13T00:00:00
[ [ "Abel", "E. T.", "" ], [ "Matan", "K.", "" ], [ "Chou", "F. C.", "" ], [ "Isaacs", "E. D.", "" ], [ "Moncton", "D. E.", "" ], [ "Sinn", "H.", "" ], [ "Alatas", "A.", "" ], [ "Lee", "Y. S.", "" ] ]
0708.0718
Junya Otsuki
J. Otsuki, H. Kusunose, P. Werner and Y. Kuramoto
Continuous-Time Quantum Monte Carlo Method for the Coqblin-Schrieffer Model
12 pages, 15 figures
J. Phys. Soc. Jpn. 76 (2007) 114707
10.1143/JPSJ.76.114707
null
cond-mat.str-el
null
An impurity solver based on a continuous-time quantum Monte Carlo method is developed for the Coqblin-Schrieffer model. The Monte Carlo simulation does not encounter a sign problem for antiferromagnetic interactions, and accurately reproduces the Kondo effect. Our algorithm can deal with an arbitrary number N of local degrees of freedom, becomes more efficient for larger values of N, and is hence suitable for models with orbital degeneracy. The dynamical susceptibility and the impurity t-matrix are derived with the aid of the Pad\'e approximation for various values of N, and good agreement is found with other methods and available exact results. We point out that the Korringa-Shiba relation needs correction for a finite value of the exchange interaction.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 08:05:35 GMT" }, { "version": "v2", "created": "Tue, 7 Aug 2007 02:39:41 GMT" } ]
2007-10-25T00:00:00
[ [ "Otsuki", "J.", "" ], [ "Kusunose", "H.", "" ], [ "Werner", "P.", "" ], [ "Kuramoto", "Y.", "" ] ]
0708.0719
Luis Fernando Mello
Jorge Sotomayor, Luis Fernando Mello, Danilo Braun Santos, Denis de Carvalho Braga
Hopf Bifurcation in a Model for Biological Control
23 pages, 3 figures
null
null
null
math.DS math.CA
null
In this paper we study the Lyapunov stability and Hopf bifurcation in a biological system which models the biological control of parasites of orange plantations.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 08:21:24 GMT" } ]
2007-08-07T00:00:00
[ [ "Sotomayor", "Jorge", "" ], [ "Mello", "Luis Fernando", "" ], [ "Santos", "Danilo Braun", "" ], [ "Braga", "Denis de Carvalho", "" ] ]
0708.0720
Jose M. Isidro
J.M. Isidro
Quantum mechanics as a spontaneously broken gauge theory on a U(1) gerbe
null
Int.J.Geom.Meth.Mod.Phys.05:233-252,2008
10.1142/S0219887808002722
null
math-ph hep-th math.MP quant-ph
null
Any quantum-mechanical system possesses a U(1) gerbe naturally defined on configuration space. Acting on Feynman's kernel exp(iS/h), this U(1) symmetry allows one to arbitrarily pick the origin for the classical action S, on a point-by-point basis on configuration space. This is equivalent to the statement that quantum mechanics is a U(1) gauge theory. Unlike Yang-Mills theories, however, the geometry of this gauge symmetry is not given by a fibre bundle, but rather by a gerbe. Since this gauge symmetry is spontaneously broken, an analogue of the Higgs mechanism must be present. We prove that a Heisenberg-like noncommutativity for the space coordinates is responsible for the breaking. This allows to interpret the noncommutativity of space coordinates as a Higgs mechanism on the quantum-mechanical U(1) gerbe.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 08:18:19 GMT" } ]
2008-11-26T00:00:00
[ [ "Isidro", "J. M.", "" ] ]
0708.0721
Antonio Sollima
A. Sollima, F. R. Ferraro, M. Bellazzini
The Mass Function of omega Centauri down to 0.15 M_s
9 pages, 10 figures, accepted for publication by MNRAS
null
10.1111/j.1365-2966.2007.12324.x
null
astro-ph
null
By means of deep FORS1@VLT and ACS@HST observations of a wide area in the stellar system omega Cen we measured the luminosity function of main sequence stars down to R=22.6 and I_{F814W}=24.5 . The luminosity functions obtained have been converted into mass functions and compared with analytical Initial Mass Functions (IMFs) available in the literature. The mass function obtained, reaching M~0.15 M_s, can be well reproduced by a broken power-law with indices alpha=-2.3 for M>0.5 M_s and alpha=-0.8 for M<0.5 M_s. Since the stellar populations of omega Cen have been proved to be actually unaffected by dynamical evolution processes, the mass function measured in this stellar system should represent the best approximation of the IMF of a star cluster. The comparison with the MF measured in other Galactic globular clusters suggests that possible primordial differences in the slope of the low-mass end of their MF could exist.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 08:50:37 GMT" } ]
2009-11-13T00:00:00
[ [ "Sollima", "A.", "" ], [ "Ferraro", "F. R.", "" ], [ "Bellazzini", "M.", "" ] ]
0708.0722
John Gough
John Gough
Filtering of Wide Sense Stationary Quantum Stochastic Processes
6 pages, no figures
Doklady. Math., 70, N0. 1, 664-7, 2004
null
null
math-ph math.MP
null
We introduce a concept of a quantum wide sense stationary process taking values in a C*-algebra and expected in a sub-algebra. The power spectrum of such a process is defined, in analogy to classical theory, as a positive measure on frequency space taking values in the expected algebra. The notion of linear quantum filters is introduced as some simple examples mentioned.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 08:45:35 GMT" } ]
2007-08-07T00:00:00
[ [ "Gough", "John", "" ] ]
0708.0723
Salvatore Capozziello
S. Capozziello, A. Stabile, A. Troisi
The Newtonian Limit of F(R) gravity
16 pages
Phys.Rev.D76:104019,2007
10.1103/PhysRevD.76.104019
null
gr-qc astro-ph
null
A general analytic procedure is developed to deal with the Newtonian limit of $f(R)$ gravity. A discussion comparing the Newtonian and the post-Newtonian limit of these models is proposed in order to point out the differences between the two approaches. We calculate the post-Newtonian parameters of such theories without any redefinition of the degrees of freedom, in particular, without adopting some scalar fields and without any change from Jordan to Einstein frame. Considering the Taylor expansion of a generic $f(R)$ theory, it is possible to obtain general solutions in term of the metric coefficients up to the third order of approximation. In particular, the solution relative to the $g_{tt}$ component gives a gravitational potential always corrected with respect to the Newtonian one of the linear theory $f(R)=R$. Furthermore, we show that the Birkhoff theorem is not a general result for $f(R)$-gravity since time-dependent evolution for spherically symmetric solutions can be achieved depending on the order of perturbations. Finally, we discuss the post-Minkowskian limit and the emergence of massive gravitational wave solutions.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 08:46:02 GMT" }, { "version": "v2", "created": "Wed, 29 Aug 2007 08:22:24 GMT" } ]
2008-11-26T00:00:00
[ [ "Capozziello", "S.", "" ], [ "Stabile", "A.", "" ], [ "Troisi", "A.", "" ] ]
0708.0724
Kelly Patton
Kelly R. Patton
Current-Noise Spectroscopy with a Scanning Tunneling Microscope
This paper has been withdrawn
null
null
null
cond-mat.str-el
null
This paper has been withdrawn due to fundamental errors.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 08:47:38 GMT" }, { "version": "v2", "created": "Thu, 9 Aug 2007 11:19:49 GMT" }, { "version": "v3", "created": "Thu, 20 Mar 2008 12:23:01 GMT" } ]
2008-03-20T00:00:00
[ [ "Patton", "Kelly R.", "" ] ]
0708.0725
David Sing
D. K. Sing, E. M. Green, S. B. Howell, J. B. Holberg, M. Lopez-Morales, J. S. Shaw, G. D. Schmidt
Discovery of a bright eclipsing cataclysmic variable
10 pages, 13 figure, accepted for publication in A&A
null
10.1051/0004-6361:20078026
null
astro-ph
null
We report on the discovery of J0644+3344, a bright deeply eclipsing cataclysmic variable (CV) binary. Spectral signatures of both binary components and an accretion disk can be seen at optical wavelengths. The optical spectrum shows broad H I, He I, and He II accretion disk emission lines with deep narrow absorption components from H I, He I, Mg II and Ca II. The absorption lines are seen throughout the orbital period, disappearing only during primary eclipse. These absorption lines are either the the result of an optically-thick inner accretion disk or from the photosphere of the primary star. Radial velocity measurements show that the H I, He I, and Mg II absorption lines phase with the the primary star, while weak absorption features in the continuum phase with the secondary star. Radial velocity solutions give a 150+/-4 km/s semi-amplitude for the primary star and 192.8+/-5.6 km/s for the secondary. The individual stellar masses are 0.63-0.69 Mdot for the primary and 0.49-0.54 Mdot for the secondary. The bright eclipsing nature of this binary has helped provide masses for both components with an accuracy rarely achieved for CVs. This binary most closely resembles a nova-like UX UMa or SW Sex type of CV. J0644+3344, however, has a longer orbital period than most UX UMa or SW Sex stars. Assuming an evolution toward shorter orbital periods, J0644+3344 is therefore likely to be a young interacting binary. The secondary star is consistent with the size and spectral type of a K8 star, but has an M0 mass.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 08:48:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Sing", "D. K.", "" ], [ "Green", "E. M.", "" ], [ "Howell", "S. B.", "" ], [ "Holberg", "J. B.", "" ], [ "Lopez-Morales", "M.", "" ], [ "Shaw", "J. S.", "" ], [ "Schmidt", "G. D.", "" ] ]
0708.0726
Guy Baruch
Guy Baruch (1) Gadi Fibich (1), Semyon V. Tsynkov (2) ((1) Tel Aviv University, (2) North Carolina State University)
High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension
47 pages, 8 figures
Journal of Computational Physics, 227 1 (Nov. 2007) pp. 820-850
10.1016/j.jcp.2007.08.022
null
math-ph math.MP
null
The nonlinear Helmholtz equation (NLH) models the propagation of electromagnetic waves in Kerr media, and describes a range of important phenomena in nonlinear optics and in other areas. In our previous work, we developed a fourth order method for its numerical solution that involved an iterative solver based on freezing the nonlinearity. The method enabled a direct simulation of nonlinear self-focusing in the nonparaxial regime, and a quantitative prediction of backscattering. However, our simulations showed that there is a threshold value for the magnitude of the nonlinearity, above which the iterations diverge. In this study, we numerically solve the one-dimensional NLH using a Newton-type nonlinear solver. Because the Kerr nonlinearity contains absolute values of the field, the NLH has to be recast as a system of two real equations in order to apply Newton's method. Our numerical simulations show that Newton's method converges rapidly and, in contradistinction with the iterations based on freezing the nonlinearity, enables computations for very high levels of nonlinearity. In addition, we introduce a novel compact finite-volume fourth order discretization for the NLH with material discontinuities.The one-dimensional results of the current paper create a foundation for the analysis of multi-dimensional problems in the future.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 09:09:39 GMT" }, { "version": "v2", "created": "Sun, 16 Sep 2007 14:36:26 GMT" } ]
2009-02-15T00:00:00
[ [ "Baruch", "Guy", "" ], [ "Fibich", "Gadi", "" ], [ "Tsynkov", "Semyon V.", "" ] ]
0708.0727
Stavros Papadakis
Stavros Argyrios Papadakis
Some calculations on type II_1 unprojection
30 pages
null
null
null
math.AG math.AC
null
The type II_1 unprojection is, by definition, the generic complete intersection type II unprojection, in the sense of [Papadakis, Type II unprojection, J. Algebraic Geometry, 15 (2006) 399--414] Section 3.1, for the parameter value k = 1, and depends on a parameter n greater or equal than 2. Our main results are the explicit calculation of the linear relations of the type II_1 unprojection for any value of n greater or equal than 2 (Theorem 3.16) and the explicit calculation of the quadratic equation for the case n = 3 (Theorem 4.1). In addition, Section 5 contains applications to algebraic geometry while Section 6 contains the Macaulay 2 code for the type II_1 unprojection for the parameter value n = 3.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 09:14:14 GMT" } ]
2007-08-07T00:00:00
[ [ "Papadakis", "Stavros Argyrios", "" ] ]
0708.0728
Olaf Lenz
V. Ballenegger and J.J. Cerda and Ch. Holm and O. Lenz
The optimal P3M algorithm for computing electrostatic energies in periodic systems
31 pages, 3 figures
J. Chem. Phys. 128, 034109 (2008)
10.1063/1.2816570
null
physics.comp-ph
null
We optimize Hockney and Eastwood's Particle-Particle Particle-Mesh (P3M) algorithm to achieve maximal accuracy in the electrostatic energies (instead of forces) in 3D periodic charged systems. To this end we construct an optimal influence function that minimizes the RMS errors in the energies. As a by-product we derive a new real-space cut-off correction term, give a transparent derivation of the systematic errors in terms of Madelung energies, and provide an accurate analytical estimate for the RMS error of the energies. This error estimate is a useful indicator of the accuracy of the computed energies, and allows an easy and precise determination of the optimal values of the various parameters in the algorithm (Ewald splitting parameter, mesh size and charge assignment order).
[ { "version": "v1", "created": "Mon, 6 Aug 2007 09:24:26 GMT" } ]
2010-12-08T00:00:00
[ [ "Ballenegger", "V.", "" ], [ "Cerda", "J. J.", "" ], [ "Holm", "Ch.", "" ], [ "Lenz", "O.", "" ] ]
0708.0729
Hrvoje Nikolic
H. Nikolic
Black-hole information puzzle: A generic string-inspired approach
8 pages, revised, title changed, to appear in Eur. Phys. J. C
Eur.Phys.J.C54:319-323,2008
10.1140/epjc/s10052-008-0529-2
null
hep-th gr-qc
null
Given the insight steming from string theory, the origin of the black-hole (BH) information puzzle is traced back to the assumption that it is physically meaningful to trace out the density matrix over negative-frequency Hawking particles. Instead, treating them as virtual particles necessarily absorbed by the BH in a manner consistent with the laws of BH thermodynamics, and tracing out the density matrix only over physical BH states, the complete evaporation becomes compatible with unitarity.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 09:26:54 GMT" }, { "version": "v2", "created": "Mon, 20 Aug 2007 11:16:15 GMT" }, { "version": "v3", "created": "Tue, 8 Jan 2008 10:44:26 GMT" } ]
2008-11-26T00:00:00
[ [ "Nikolic", "H.", "" ] ]
0708.0730
Christian Schwinn
Christian Schwinn (RWTH Aachen)
Effective Theory Approach to W-Pair Production near Threshold
7 pages (ilcws07.cls included), to appear in the proceedings of the International Linear Collider Workshop (LCWS/ILC07), 30 May - 3 Jun 2007, Hamburg, Germany
ECONF C0705302:LOOP03,2007
null
SFB/CPP-07-44
hep-ph
null
In this talk, I review the effective theory approach to unstable particle production and present results of a calculation of the process e- e+ ->mu- nubar_mu u dbar X near the W-pair production threshold up to next-to-leading order in GammaW/MW ~ alpha ~ v^2. The remaining theoretical uncertainty and the impact on the measurement of the W mass is discussed.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 09:33:20 GMT" } ]
2009-02-16T00:00:00
[ [ "Schwinn", "Christian", "", "RWTH Aachen" ] ]
0708.0731
Young-Chung Hsue
Young-Chung Hsue
Finding irreducible representation of symmetry operators linearly
null
null
null
NSC 95-2745-M-006-004-
math-ph math.MP
null
The main purpose of this paper is providing a simple method to generate the matrices of irreducible representations because it is useful to reduce the computational time of solving the eigenvalue problems. The only information we need to provide for this method is the group-multiplication table, and the proof of validity of this method is also shown in this paper.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 09:34:20 GMT" } ]
2007-08-07T00:00:00
[ [ "Hsue", "Young-Chung", "" ] ]
0708.0732
Cheikh Ndiaye birahim
Cheikh Birahim Ndiaye
Constant T-curvature conformal metrics on 4-manifolds with boundary
null
null
null
null
math.AP math.DG
null
In this paper we prove that, given a compact four dimensional smooth Riemannian manifold (M,g) with smooth boundary there exists a metric conformal to g with constant T-curvature, zero Q-curvature and zero mean curvature under generic and conformally invariant assumptions. The problem amounts to solving a fourth order nonlinear elliptic boundary value problem (BVP) with boundary conditions given by a third-order pseudodifferential operator, and homogeneous Neumann one. It has a variational structure, but since the corresponding Euler-Lagrange functional is in general unbounded from below, we look for saddle points. In order to do this, we use topological arguments and min-max methods combined with a compactness result for the corresponding BVP.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 09:44:10 GMT" } ]
2007-08-07T00:00:00
[ [ "Ndiaye", "Cheikh Birahim", "" ] ]
0708.0733
Hiroshi Kaji
The Belle Collaboration: K. Abe, et al
Precise measurement of hadronic $\tau$-decays in modes with $\eta$ mesons
BELLE-CONF-0714; contributed to EPS 2007 and Lepton Photon 2007
null
null
null
hep-ex
null
We have measured branching fractions of hadronic $\tau$ decays involving an $\eta$ meson using 485 fb^{-1} of data collected with the Belle detector at the KEKB asymmetric-energy e^+e^- collider. We obtain the following branching fractions: ${\cal B}(\tau^-\to K^- \eta \nu_{\tau})=(1.62\pm 0.05 \pm 0.09)\times 10^{-4}$, ${\cal B}(\tau^-\to K^- \pi^0 \eta \nu_{\tau}) =(4.7\pm 1.1 \pm 0.4)\times 10^{-5}$, ${\cal B}(\tau^-\to \pi^- \pi^0 \eta \nu_{\tau})=(1.39 \pm 0.03 \pm 0.07) \times 10^{-3}$, and ${\cal B}(\tau^-\to K^{*-} \eta \nu_{\tau})=(1.13\pm 0.19 \pm 0.07)\times 10^{-4}$ improving the accuracy compared to the best previous measurements by factors of six, eight, four and four, respectively.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 09:54:13 GMT" } ]
2007-08-07T00:00:00
[ [ "The Belle Collaboration", "", "" ], [ "Abe", "K.", "" ] ]
0708.0734
Ion I. Cot{\ba}escu
Ion I. Cotaescu
The Schr\" odinger picture of the Dirac quantum mechanics on spatially flat Robertson-Walker backgrounds
6 pages 0 figures
null
10.1142/S0217732307026035
null
gr-qc math-ph math.MP quant-ph
null
The Schr\" odinger picture of the Dirac quantum mechanics is defined in charts with spatially flat Robertson-Walker metrics and Cartesian coordinates. The main observables of this picture are identified, including the interacting part of the Hamiltonian operator produced by the minimal coupling with the gravitational field. It is shown that in this approach new Dirac quantum modes on de Sitter spacetimes may be found analytically solving the Dirac equation.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 10:00:25 GMT" } ]
2014-10-07T00:00:00
[ [ "Cotaescu", "Ion I.", "" ] ]
0708.0735
Michaela Kraus
Michaela Kraus, Jiri Kubat, Jiri Krticka
Wind emission of OB supergiants and the influence of clumping
3 pages, to appear in the workshop proceedings 'Clumping in Hot Star Winds', eds. W.-R. Hamann, A. Feldmeier, & L. Oskinova
null
null
null
astro-ph
null
The influence of the wind to the total continuum of OB supergiants is discussed. For wind velocity distributions with \beta > 1.0, the wind can have strong influence to the total continuum emission, even at optical wavelengths. Comparing the continuum emission of clumped and unclumped winds, especially for stars with high \beta values, delivers flux differences of up to 30% with maximum in the near-IR. Continuum observations at these wavelengths are therefore an ideal tool to discriminate between clumped and unclumped winds of OB supergiants.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 10:09:13 GMT" } ]
2007-08-07T00:00:00
[ [ "Kraus", "Michaela", "" ], [ "Kubat", "Jiri", "" ], [ "Krticka", "Jiri", "" ] ]
0708.0736
Phil Williams
Phillip Y. Williams
Overview document for: A weight function theory of basis function interpolants and smoothers
Version 1: 9 pages, 0 figures, 1 bbl file. Version 2: Updated to describe consolidated version 2 documents - now only two documents
null
null
null
math.NA
null
This document is a brief overview of two documents which continue to develop the weight function theory of basis function smoothers and interpolants. One document considers the zero order theory and one considers the positive order theory.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 10:13:21 GMT" }, { "version": "v2", "created": "Mon, 22 Oct 2007 11:30:42 GMT" } ]
2007-10-22T00:00:00
[ [ "Williams", "Phillip Y.", "" ] ]
0708.0737
Sergiy Maksymenko
Sergiy Maksymenko
$\infty$-jets of difeomorphisms preserving orbits of vector fields
34 pages. version 5. Many misprints are corrected and some minor changes are made
Central European Journal of Mathematics, vol. 7, no. 2 (2009) 272-298
10.2478/s11533-009-0010-y
null
math.DS
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let $F$ be a smooth vector field defined in a neighborhood of the origin in $\mathbb{R}^n$, $F(O)=0$, and let $F_t$ be its local flow. Denote by $E$ the set of germs of diffeomorphisms $h:\mathbb{R}^n \to \mathbb{R}^n$ preserving orbits of $F$ and let $E_{\mathrm{id}}^r$ be the identity component of $E$ with respect to $C^r$-topology. Then every $E_{\mathrm{id}}^{r}$ contains a subset $Sh$ consisting of mappings of the form $F_{f(x)}(x)$, where $f: \mathbb{R}^n \to \mathbb{R}$ is a smooth function. It was proved earlier by the author that if $F$ is a linear vector field, then $Sh=E_{\mathrm{id}}^0$. In this paper we present a class of vector fields for which $Sh$ and $E_{\mathrm{id}}^1$ coincide on the level of $\infty$-jets. We also establish a parameter rigidity of linear vector fields and "reduced" Hamiltonian vector fields of real homogeneous polynomials in two variables.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 10:26:00 GMT" }, { "version": "v2", "created": "Sun, 16 Sep 2007 20:18:54 GMT" }, { "version": "v3", "created": "Mon, 4 Feb 2008 18:36:29 GMT" }, { "version": "v4", "created": "Sun, 1 Jun 2008 17:07:30 GMT" }, { "version": "v5", "created": "Mon, 6 Oct 2008 07:35:40 GMT" }, { "version": "v6", "created": "Tue, 20 Jan 2009 12:13:12 GMT" }, { "version": "v7", "created": "Thu, 24 Dec 2015 13:08:47 GMT" } ]
2015-12-25T00:00:00
[ [ "Maksymenko", "Sergiy", "" ] ]
0708.0738
Keigo Nitadori
Keigo Nitadori, Junichiro Makino
6th and 8th Order Hermite Integrator for N-body Simulations
21 pages, 6 figures, New Astronomy accepted
NewAstron.13:498-507,2008
10.1016/j.newast.2008.01.010
null
astro-ph
null
We present sixth- and eighth-order Hermite integrators for astrophysical $N$-body simulations, which use the derivatives of accelerations up to second order ({\it snap}) and third order ({\it crackle}). These schemes do not require previous values for the corrector, and require only one previous value to construct the predictor. Thus, they are fairly easy to implemente. The additional cost of the calculation of the higher order derivatives is not very high. Even for the eighth-order scheme, the number of floating-point operations for force calculation is only about two times larger than that for traditional fourth-order Hermite scheme. The sixth order scheme is better than the traditional fourth order scheme for most cases. When the required accuracy is very high, the eighth-order one is the best. These high-order schemes have several practical advantages. For example, they allow a larger number of particles to be integrated in parallel than the fourth-order scheme does, resulting in higher execution efficiency in both general-purpose parallel computers and GRAPE systems.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 10:26:54 GMT" }, { "version": "v2", "created": "Thu, 9 Aug 2007 15:21:57 GMT" }, { "version": "v3", "created": "Sat, 1 Sep 2007 10:55:21 GMT" }, { "version": "v4", "created": "Mon, 4 Feb 2008 11:04:04 GMT" } ]
2008-11-26T00:00:00
[ [ "Nitadori", "Keigo", "" ], [ "Makino", "Junichiro", "" ] ]
0708.0739
Magdalena Zaluska-Kotur A
Filip Krzyzewski, Magdalena Zaluska-Kotur
Segregation in noninteracting binary mixture
5 pages, 4 figures
null
10.1103/PhysRevE.77.031502
null
cond-mat.stat-mech cond-mat.soft
null
Process of stripe formation is analyzed numerically in a binary mixture. The system consists of particles of two sizes, without any direct mutual interactions. Overlapping of large particles, surrounded by a dense system of smaller particles induces indirect entropy driven interactions between large particles. Under an influence of an external driving force the system orders and stripes are formed. Mean width of stripes grows logarithmically with time, in contrast to a typical power law temporal increase observed for driven interacting lattice gas systems. We describe the mechanism responsible for this behavior and attribute the logarithmic growth to a random walk of large particles in a random potential due to the small ones.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 10:37:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Krzyzewski", "Filip", "" ], [ "Zaluska-Kotur", "Magdalena", "" ] ]
0708.0740
Alberto Imparato
A. Imparato, L. Peliti
Work and heat probability distributions in out-of-equilibrium systems
Contribution to Proceedings of "Work, Dissipation, and Fluctuations in Nonequilibrium Physics", Brussels, 2006
Comptes Rendus Physique 8, (2007) 556-566
10.1016/j.crhy.2007.04.017
null
cond-mat.stat-mech
null
We review and discuss the equations governing the distribution of work done on a system which is driven out of equilibrium by external manipulation, as well as those governing the entropy flow to a reservoir in a nonequilibrium system. We take advantage of these equations to investigate the path phase transition in a manipulated mean-field Ising model and the large-deviation function for the heat flow in the asymmetric exclusion process with periodically varying transition probabilities.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 10:51:27 GMT" } ]
2007-08-07T00:00:00
[ [ "Imparato", "A.", "" ], [ "Peliti", "L.", "" ] ]
0708.0741
Shi Zhou Dr.
Shi Zhou, Ingemar Cox and Vaclav Petricek
Characterising Web Site Link Structure
To appear at IEEE/WSE07
null
10.1109/WSE.2007.4380247
null
cs.IR
null
The topological structures of the Internet and the Web have received considerable attention. However, there has been little research on the topological properties of individual web sites. In this paper, we consider whether web sites (as opposed to the entire Web) exhibit structural similarities. To do so, we exhaustively crawled 18 web sites as diverse as governmental departments, commercial companies and university departments in different countries. These web sites consisted of as little as a few thousand pages to millions of pages. Statistical analysis of these 18 sites revealed that the internal link structure of the web sites are significantly different when measured with first and second-order topological properties, i.e. properties based on the connectivity of an individual or a pairs of nodes. However, examination of a third-order topological property that consider the connectivity between three nodes that form a triangle, revealed a strong correspondence across web sites, suggestive of an invariant. Comparison with the Web, the AS Internet, and a citation network, showed that this third-order property is not shared across other types of networks. Nor is the property exhibited in generative network models such as that of Barabasi and Albert.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 11:00:58 GMT" } ]
2016-11-17T00:00:00
[ [ "Zhou", "Shi", "" ], [ "Cox", "Ingemar", "" ], [ "Petricek", "Vaclav", "" ] ]
0708.0742
Cathie Clarke
C. Clarke, E. Harper-Clark, G. Lodato
The response of self-graviting protostellar discs to slow reduction in cooling timescale: the fragmentation boundary revisited
accepted for publication in MNRAS
null
10.1111/j.1365-2966.2007.12322.x
null
astro-ph
null
A number of previous studies of the fragmentation of self-gravitating protostellar discs have modeled radiative cooling with a cooling timescale (t_{cool}) parameterised as a simple multiple (beta_{cool}) of the local dynamical timescale. Such studies have delineated the `fragmentation boundary' in terms of a critical value of beta_{cool} (beta_{crit}), where the disc fragments if beta_{cool} < beta_{crit}. Such an approach however begs the question of how in reality a disc could ever be assembled with beta_{cool} < beta_{crit}. Here we adopt the more realistic approach of gradually reducing beta_{cool}, as might correspond to changes in thermal regime due to secular changes in the disc density profile. We find that when beta_{cool} is gradually reduced (on a timescale longer than t_{cool}), the disc is stabilised against fragmentation, compared with models in which beta_{cool} is reduced rapidly. We therefore conclude that a disc's ability to remain in a self-regulated, self-gravitating state (without fragmentation) is partly dependent on its thermal history, as well as its current cooling rate. Nevertheless, a slow reduction in t_{cool} appears only to lower the fragmentation boundary by about a factor two in t_{cool} and thus only permits maximum alpha values (parameterising the efficiency of angular momentum transfer in the disc) that are about a factor two higher than determined hitherto. Our results therefore do not undermine the notion of a fundamental upper limit to the heating rate that can be delivered by gravitational instabilities before the disc is subject to fragmentation. An important implication of this work, therefore, is that self-gravitating discs can enter into the regime of fragmentation via secular evolution and it is not necessary to invoke rapid (impulsive) events to trigger fragmentation.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 11:03:00 GMT" } ]
2009-11-13T00:00:00
[ [ "Clarke", "C.", "" ], [ "Harper-Clark", "E.", "" ], [ "Lodato", "G.", "" ] ]
0708.0743
Jean-Luc Lehners
Jean-Luc Lehners and Neil Turok
Bouncing Negative-Tension Branes
20 pages, 1 figure, discussion extended and references added; minor mistake corrected
Phys.Rev.D77:023516,2008
10.1103/PhysRevD.77.023516
DAMTP-2007-73
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Braneworlds, understood here as double domain wall spacetimes, can be described in terms of a linear harmonic function, with kinks at the locations of the boundary branes. In a dynamical setting, there is therefore the risk that the boundary brane of negative tension, at whose location the value of the harmonic function is always lowest, can encounter a zero of this harmonic function, corresponding to the formation of a singularity. We show that for certain types of brane-bound matter this singularity can be avoided, and the negative-tension brane can shield the bulk spacetime from the singularity by bouncing back smoothly before reaching the singularity. In our analysis we compare the 5- and 4-dimensional descriptions of this phenomenon in order to determine the validity of the moduli space approximation.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 11:08:15 GMT" }, { "version": "v2", "created": "Tue, 15 Jan 2008 16:15:32 GMT" }, { "version": "v3", "created": "Fri, 5 Sep 2008 16:32:29 GMT" } ]
2008-11-26T00:00:00
[ [ "Lehners", "Jean-Luc", "" ], [ "Turok", "Neil", "" ] ]
0708.0744
T. H. Lenagan
S Launois, T H Lenagan and L Rigal
Prime ideals in the quantum grassmannian
25 pages
null
null
null
math.QA math.CO math.RA
null
We consider quantum Schubert cells in the quantum grassmannian and give a cell decomposition of the prime spectrum via the Schubert cells. As a consequence, we show that all primes are completely prime in the generic case where the deformation parameter q is not a root of unity. There is a torus H that acts naturally on the quantum grassmannian and the cell decomposition of the set of H-primes leads to a parameterisation of the H-spectrum via certain diagrams on partitions associated to the Schubert cells. Interestingly, the same parameterisation occurs for the non-negative cells in recent studies concerning the totally non-negative grassmannian. Finally, we use the cell decomposition to establish that the quantum grassmannian satisfies normal separation and catenarity.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 11:19:16 GMT" } ]
2007-08-07T00:00:00
[ [ "Launois", "S", "" ], [ "Lenagan", "T H", "" ], [ "Rigal", "L", "" ] ]
0708.0745
Grigori Kirilin
G.G. Kirilin, I.S. Terekhov
Coulomb corrections to the Delbrueck scattering amplitude at low energies
8 pages, 6 figures
null
10.1103/PhysRevA.77.032118
null
hep-ph
null
In this article, we study the Coulomb corrections to the Delbrueck scattering amplitude. We consider the limit when the energy of the photon is much less than the electron mass. The calculations are carried out in the coordinate representation using the exact relativistic Green function of an electron in a Coulomb field. The resulting relative corrections are of the order of a few percent for scattering on for a large charge of the nucleus. We compare the corrections with the corresponding ones calculated through the dispersion integral of the pair production cross section and also with the magnetic loop contribution to the g-factor of a bound electron. The last one is in a good agreement with our results but the corrections calculated through the dispersion relation are not.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 11:40:25 GMT" } ]
2009-11-13T00:00:00
[ [ "Kirilin", "G. G.", "" ], [ "Terekhov", "I. S.", "" ] ]
0708.0746
C.N.R. Rao Prof
Claudy Rayan Serrao, A Sundaresan and C N R Rao
Multiferroic nature of charge-ordered rare earth manganites
null
null
10.1088/0953-8984/19/49/496217
null
cond-mat.mtrl-sci cond-mat.str-el
null
Charge-ordered rare earth manganites Nd0.5Ca0.5MnO3, La0.25Nd0.25Ca0.5MnO3, Pr0.7Ca0.3MnO3 and Pr0.6Ca0.4MnO3 are found to exhibit dielectric constant anomalies around the charge-ordering or the magnetic transition temperatures. Magnetic fields have a marked effect on the dielectric properties, indicating the presence of coupling between the magnetic and electrical order parameters. The observation of magnetoferroelectricity in these manganites is in accord with the recent theoretical predictions of Khomskii and coworkers.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 11:34:21 GMT" } ]
2009-11-13T00:00:00
[ [ "Serrao", "Claudy Rayan", "" ], [ "Sundaresan", "A", "" ], [ "Rao", "C N R", "" ] ]
0708.0747
Mathieu Dutour Sikiri\'c
Mathieu Dutour Sikiric and Viatcheslav Grishukhin
The decomposition of the hypermetric cone into L-domains
20 pages 2 figures, 2 tables
null
null
null
math.CO math.MG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The hypermetric cone $\HYP_{n+1}$ is the parameter space of basic Delaunay polytopes in n-dimensional lattice. The cone $\HYP_{n+1}$ is polyhedral; one way of seeing this is that modulo image by the covariance map $\HYP_{n+1}$ is a finite union of L-domains, i.e., of parameter space of full Delaunay tessellations. In this paper, we study this partition of the hypermetric cone into L-domains. In particular, it is proved that the cone $\HYP_{n+1}$ of hypermetrics on n+1 points contains exactly {1/2}n! principal L-domains. We give a detailed description of the decomposition of $\HYP_{n+1}$ for n=2,3,4 and a computer result for n=5 (see Table \ref{TableDataHYPn}). Remarkable properties of the root system $\mathsf{D}_4$ are key for the decomposition of $\HYP_5$.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 11:36:27 GMT" }, { "version": "v2", "created": "Fri, 14 Dec 2007 19:45:04 GMT" }, { "version": "v3", "created": "Fri, 16 May 2008 08:51:13 GMT" }, { "version": "v4", "created": "Mon, 11 Aug 2008 14:30:44 GMT" } ]
2008-08-11T00:00:00
[ [ "Sikiric", "Mathieu Dutour", "" ], [ "Grishukhin", "Viatcheslav", "" ] ]
0708.0748
Viktor Soshnikov
V. N. Soshnikov
Collisionless damping of electron waves in non-Maxwellian plasma
10 pages, 1 figure, PDF. Correction of the case of waves in Maxwellian plasma stream
null
null
null
physics.plasm-ph
null
In this paper we have criticized the so-called Landau damping theory. We have analyzed solutions of the standard dispersion equations for longitudinal (electric) and transversal (electromagnetic and electron) waves in half-infinite slab of the uniform collisionless plasmas with non-Maxwellian and Maxwellian-like electron energy distribution functions. One considered the most typical cases of both the delta-function type distribution function (the plasma stream with monochromatic electrons) and distribution functions, different from Maxwellian ones as with a surplus as well as with a shortage in the Maxwellian distribution function tail. It is shown that there are present for the considered cases both collisionless damping and also non-damping electron waves even in the case of non-Maxwellian distribution function.
[ { "version": "v1", "created": "Mon, 6 Aug 2007 12:24:34 GMT" }, { "version": "v2", "created": "Sat, 19 Jan 2008 18:06:14 GMT" }, { "version": "v3", "created": "Sat, 9 Feb 2008 11:16:16 GMT" }, { "version": "v4", "created": "Mon, 10 Mar 2008 14:37:36 GMT" }, { "version": "v5", "created": "Sun, 30 Mar 2008 15:17:30 GMT" } ]
2008-03-30T00:00:00
[ [ "Soshnikov", "V. N.", "" ] ]