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0705.4198
Poilblanc
Didier Poilblanc
Exotic Mott phases of the extended t--J model on the checkerboard lattice at commensurate densities
7 pages, 7 figures Follow-up of cond-mat/0702367
Phys. Rev. B 76, 115104 (2007)
10.1103/PhysRevB.76.115104
null
cond-mat.str-el cond-mat.supr-con
null
Coulomb repulsion between electrons moving on a frustrated lattice can give rise, at simple commensurate electronic densities, to exotic insulating phases of matter. Such a phenomenon is illustrated using an extended t--J model on a planar pyrochlore lattice for which the work on the quarter-filled case [cond-mat/0702367] is complemented and extended to 1/8- and 3/8-fillings. The location of the metal-insulator transition as a function of the Coulomb repulsion is shown to depend strongly on the sign of the hopping. Quite generally, the metal-insulator transition is characterized by lattice symmetry breaking but the nature of the insulating Mott state is more complex than a simple Charge Density Wave. Indeed, in the limit of large Coulomb repulsion, the physics can be described in the framework of (extended) quantum fully-packed loop or dimer models carrying extra spin degrees of freedom. Various diagonal and off-diagonal plaquette correlation functions are computed and the low-energy spectra are analyzed in details in order to characterize the nature of the insulating phases. We provide evidence that, as for an electronic density of n=1/2 (quarter-filling), the system at $n=1/4$ or $n=3/4$ exhibits also plaquette order by forming a (lattice rotationally-invariant) Resonating-Singlet-Pair Crystal, although with a quadrupling of the lattice unit cell (instead of a doubling for $n=1/2$) and a 4-fold degenerate ground state. Interestingly, qualitative differences with the bosonic analog (e.g. known to exhibit columnar order at n=1/4) emphasize the important role of the spin degrees of freedom in e.g. stabilizing plaquette phases w.r.t. rotational symmetry-breaking phases.
[ { "version": "v1", "created": "Tue, 29 May 2007 11:43:49 GMT" } ]
2008-04-24T00:00:00
[ [ "Poilblanc", "Didier", "" ] ]
0705.4199
Alberto Leccardi
A. Leccardi and S. Molendi
In search of an unbiased temperature estimator for statistically poor X-ray spectra
9 pages, 9 figures, accepted for publication in A&A
Phys.Rev.D80:015018,2009
10.1103/PhysRevD.80.015018
null
astro-ph
null
Although commonly employed by X-ray astronomers, maximum likelihood estimators are known to be biased. In this paper we investigate the bias associated to the measure of the temperature from an X-ray thermal spectrum. We show that, in the case of low surface brightness regions, commonly adopted estimators, such as those based on chi squared and Cash statistics, return strongly biased results. We stress that this can have strong implications when measuring the temperature of cluster outer regions with current experiments. We consider various approaches to overcome this problem, the most effective is a technique which allows us to correct the bias a posteriori. Extensive montecarlo simulations show that our correction returns excellent results under different conditions.
[ { "version": "v1", "created": "Tue, 29 May 2007 11:44:11 GMT" } ]
2009-08-13T00:00:00
[ [ "Leccardi", "A.", "" ], [ "Molendi", "S.", "" ] ]
0705.4200
Djordje Baljozovic
Slobodanka Jankovic, Milan Merkle
A mean value theorem for systems of integrals
7 pages
J. Math. Anal. Appl, 342(2008), 334-339.
10.1016/j.jmaa.2007.12.012
null
math.NA
null
More than a century ago, G. Kowalewski stated that for each n continuous functions on a compact interval [a,b], there exists an n-point quadrature rule (with respect to Lebesgue measure on [a,b]), which is exact for given functions. Here we generalize this result to continuous functions with an arbitrary positive and finite measure on an arbitrary interval. The proof relies on a version of Caratheodory's convex hull theorem for a continuous curve, that we also prove in the paper. As applications, we give a representation of the covariance for two continuous functions of a random variable, and a most general version of Gruess' inequality.
[ { "version": "v1", "created": "Tue, 29 May 2007 11:48:14 GMT" } ]
2008-10-10T00:00:00
[ [ "Jankovic", "Slobodanka", "" ], [ "Merkle", "Milan", "" ] ]
0705.4201
Paolo Bellingeri
Valerij G. Bardakov (AOSSI), Paolo Bellingeri
On residual properties of pure braid groups of closed surfaces
null
null
null
null
math.GR
null
We prove that pure braid groups of closed surface are almost-direct products of residually torsion free nilpotent groups and hence residually torsion free nilpotent. As a Corollary, we prove also that braid groups on 2 strands of closed surfaces are residually nilpotent.
[ { "version": "v1", "created": "Tue, 29 May 2007 12:00:48 GMT" } ]
2007-05-30T00:00:00
[ [ "Bardakov", "Valerij G.", "", "AOSSI" ], [ "Bellingeri", "Paolo", "" ] ]
0705.4202
Dr. Anirudh Pradhan
Anirudh Pradhan, G. S. Khadekar, M. K. Mishra and S. Kumbhare
Higher Dimensional Strange Quark Matter Coupled to the String Cloud with Electromagnetic Field Admitting One Parameter Group of Conformal Motion
This paper has been withdrawn by arXiv administrators
Chin.Phys.Lett.24:3013-3016,2007
10.1088/0256-307X/24/10/083
null
gr-qc
null
This paper has been withdrawn by arXiv administrators because of an inappropriate amount of overlap with hep-th/0505013.
[ { "version": "v1", "created": "Tue, 29 May 2007 12:01:16 GMT" }, { "version": "v2", "created": "Sat, 18 Aug 2007 09:39:55 GMT" }, { "version": "v3", "created": "Thu, 13 Dec 2007 18:53:10 GMT" } ]
2008-11-26T00:00:00
[ [ "Pradhan", "Anirudh", "" ], [ "Khadekar", "G. S.", "" ], [ "Mishra", "M. K.", "" ], [ "Kumbhare", "S.", "" ] ]
0705.4203
Serge Troubetzkoy
Ai-Hua Fan (LAMFA), Joerg Schmeling, Serge Troubetzkoy (CPT, FRUMAM, IML)
Dynamical Diophantine Approximation
null
Proc. Lond. Math. Soc. 107, 5 (2013) 1173-1219
null
null
math.DS math.NT math.PR
null
Let $\mu$ be a Gibbs measure of the doubling map $T$ of the circle. For a $\mu$-generic point $x$ and a given sequence $\{r_n\} \subset \R^+$, consider the intervals $(T^nx - r_n \pmod 1, T^nx + r_n \pmod 1)$. In analogy to the classical Dvoretzky covering of the circle we study the covering properties of this sequence of intervals. This study is closely related to the local entropy function of the Gibbs measure and to hitting times for moving targets. A mass transference principle is obtained for Gibbs measures which are multifractal. Such a principle was shown by Beresnevich and Velani \cite{BV} only for monofractal measures. In the symbolic language we completely describe the combinatorial structure of a typical relatively short sequence, in particular we can describe the occurrence of ''atypical'' relatively long words. Our results have a direct and deep number-theoretical interpretation via inhomogeneous diadic diophantine approximation by numbers belonging to a given (diadic) diophantine class.
[ { "version": "v1", "created": "Tue, 29 May 2007 12:17:27 GMT" } ]
2014-03-25T00:00:00
[ [ "Fan", "Ai-Hua", "", "LAMFA" ], [ "Schmeling", "Joerg", "", "CPT, FRUMAM,\n IML" ], [ "Troubetzkoy", "Serge", "", "CPT, FRUMAM,\n IML" ] ]
0705.4204
Franz J. Kaiser
Franz J. Kaiser and Sigmund Kohler
Shot noise in non-adiabatically driven nanoscale conductors
17 pages, 2 figures
Ann. Phys. 16, 702 (2007)
10.1002/andp.200710257
null
cond-mat.mes-hall
null
We investigate the noise properties of pump currents through molecular wires and coupled quantum dots. As a model we employ a two level system that is connected to electron reservoirs and is non-adiabatically driven. Concerning the electron-electron interaction, we focus on two limits: non-interacting electrons and strong Coulomb repulsion. While the former case is treated within a Floquet scattering formalism, we derive for the latter case a master equation formalism for the computation of the current and the zero-frequency noise. For a pump operated close to internal resonances, the differences between the non-interacting and the strongly interacting limit turn out to be surprisingly small.
[ { "version": "v1", "created": "Tue, 29 May 2007 12:34:24 GMT" } ]
2011-11-10T00:00:00
[ [ "Kaiser", "Franz J.", "" ], [ "Kohler", "Sigmund", "" ] ]
0705.4205
Daniel Blaschke
Daniel N. Blaschke, Harald Grosse, Manfred Schweda
Non-Commutative U(1) Gauge Theory on R**4 with Oscillator Term and BRST Symmetry
7 pages; v2 revised, v3 corrected eq. (14) and related text, references updated
Europhys.Lett.79:61002,2007
10.1209/0295-5075/79/61002
null
hep-th
null
Inspired by the renormalizability of the non-commutative Phi^4 model with added oscillator term, we formulate a non-commutative gauge theory, where the oscillator enters as a gauge fixing term in a BRST invariant manner. All propagators turn out to be essentially given by the Mehler kernel and the bilinear part of the action is invariant under the Langmann-Szabo duality. The model is a promising candidate for a renormalizable non-commutative U(1) gauge theory.
[ { "version": "v1", "created": "Tue, 29 May 2007 12:34:23 GMT" }, { "version": "v2", "created": "Wed, 27 Jun 2007 10:20:56 GMT" }, { "version": "v3", "created": "Mon, 28 Jan 2008 13:13:57 GMT" } ]
2008-11-26T00:00:00
[ [ "Blaschke", "Daniel N.", "" ], [ "Grosse", "Harald", "" ], [ "Schweda", "Manfred", "" ] ]
0705.4206
Victor Tikhomirov
Victor Tikhomirov
Multiple Volume Reflection from Different Planes Inside One Bent Crystal
17 pages, 6 figures
Phys.Lett.B655:217-222,2007
10.1016/j.physletb.2007.09.049
null
physics.acc-ph physics.ins-det
null
It is shown that multiple volume reflections from different planes of one bent crystal becomes possible when particles move at a small angle with respect to a crystal axis. Such a Multiple Volume Reflection makes it possible to increase the particle deflection angle inside one crystal by more than four times and can be used to increase the efficiency of beam extraction and collimation at the LHC and many other accelerators.
[ { "version": "v1", "created": "Tue, 29 May 2007 12:38:11 GMT" } ]
2008-11-26T00:00:00
[ [ "Tikhomirov", "Victor", "" ] ]
0705.4207
Dan Ralph
J. C. Sankey, Y.-T. Cui, R. A. Buhrman, D. C. Ralph, J. Z. Sun, J. C. Slonczewski
Measurement of the Spin-Transfer-Torque Vector in Magnetic Tunnel Junctions
33 pages, 9 figures
null
10.1038/nphys783
null
cond-mat.other
null
Spin-polarized currents can transfer spin angular momentum to a ferromagnet, generating a torque that can efficiently reorient its magnetization. Achieving quantitative measurements of the spin-transfer-torque vector in magnetic tunnel junctions (MTJs) is important for understanding fundamental mechanisms affecting spin-dependent tunneling, and for developing magnetic memories and nanoscale microwave oscillators. Here we present direct measurements of both the magnitude and direction of the spin torque in Co60Fe20B20/MgO/Co60Fe20B20 MTJs. At low bias V, the differential torque vector d{tau}/dV lies in the plane defined by the electrode magnetizations, and its magnitude is in excellent agreement with a prediction for highly-spin-polarized tunneling. With increasing bias, the in-plane component d{tau}_{parallel}/dV remains large, in striking contrast to the decreasing magnetoresistance ratio. The differential torque vector also rotates out of the plane under bias; we measure a perpendicular component tau_{perp}(V) with bias dependence proportional to V^2 for low V, that becomes as large as 30% of the in-plane torque.
[ { "version": "v1", "created": "Tue, 29 May 2007 12:48:49 GMT" } ]
2015-05-13T00:00:00
[ [ "Sankey", "J. C.", "" ], [ "Cui", "Y. -T.", "" ], [ "Buhrman", "R. A.", "" ], [ "Ralph", "D. C.", "" ], [ "Sun", "J. Z.", "" ], [ "Slonczewski", "J. C.", "" ] ]
0705.4208
Abdeslam Mimouni
Abdeslam Mimouni
Ratliff-Rush Closure of Ideals in Integral Domains
10 pages
null
null
null
math.AC
null
This paper studies the Ratliff-Rush closure of ideals in integral domains. By definition, the Ratliff-Rush closure of an ideal $I$ of a domain $R$ is the ideal given by $\tilde{I}:=\bigcup(I^{n+1}:_{R}I^{n})$ and an ideal $I$ is said to be a Ratliff-Rush ideal if $\tilde{I}=I$. We completely characterize integrally closed domains in which every ideal is a Ratliff-Rush ideal and we give a complete description of the Ratliff-Rush closure of an ideal in a valuation domain.
[ { "version": "v1", "created": "Tue, 29 May 2007 12:41:33 GMT" }, { "version": "v2", "created": "Thu, 15 Nov 2007 14:54:44 GMT" }, { "version": "v3", "created": "Mon, 11 Feb 2008 14:16:11 GMT" } ]
2008-02-11T00:00:00
[ [ "Mimouni", "Abdeslam", "" ] ]
0705.4209
Tomasz Placek Dr.
Leszek Wro\'nski and Tomasz Placek
On Infinite EPR-like Correlations
42 pages, no figures
null
null
null
quant-ph
null
The paper investigates, in the framework of branching space-times, whether an infinite EPR-like correlation which does not involve finite EPR-like correlations is possible.
[ { "version": "v1", "created": "Tue, 29 May 2007 13:08:22 GMT" } ]
2007-05-30T00:00:00
[ [ "Wroński", "Leszek", "" ], [ "Placek", "Tomasz", "" ] ]
0705.4210
Mauro Sbragaglia Dr
Mauro Sbragaglia, Alisia M. Peters, Christophe Pirat, Bram M. Borkent, Rob G. H. Lammertink, Matthias Wessling, and Detlef Lohse
Spontaneous Breakdown of Superhydrophobicity
Accepted for publication in Physical Review Letters
Physical Review Letters 99, 156001 (2007)
10.1103/PhysRevLett.99.156001
null
physics.flu-dyn cond-mat.soft cond-mat.stat-mech nlin.PS
null
In some cases water droplets can completely wet micro-structured superhydrophobic surfaces. The {\it dynamics} of this rapid process is analyzed by ultra-high-speed imaging. Depending on the scales of the micro-structure, the wetting fronts propagate smoothly and circularly or -- more interestingly -- in a {\it stepwise} manner, leading to a growing {\it square-shaped} wetted area: entering a new row perpendicular to the direction of front propagation takes milliseconds, whereas once this has happened, the row itself fills in microseconds ({\it ``zipping''})
[ { "version": "v1", "created": "Tue, 29 May 2007 12:53:06 GMT" }, { "version": "v2", "created": "Wed, 30 May 2007 08:00:13 GMT" }, { "version": "v3", "created": "Fri, 31 Aug 2007 10:22:28 GMT" } ]
2009-11-13T00:00:00
[ [ "Sbragaglia", "Mauro", "" ], [ "Peters", "Alisia M.", "" ], [ "Pirat", "Christophe", "" ], [ "Borkent", "Bram M.", "" ], [ "Lammertink", "Rob G. H.", "" ], [ "Wessling", "Matthias", "" ], [ "Lohse", "Detlef", "" ] ]
0705.4211
Xiaofeng Guo
Xiaofeng Guo, Jun Li
Multiple scattering and energy loss in semi-inclusive deeply inelastic eA scattering
17 pages, 12 figures
null
null
null
hep-ph nucl-th
null
We calculate the multiple scattering effect on single hadron production in semi-inclusive lepton-nucleus deeply inelastic scattering. We show that the quantum interference of multiple scattering amplitudes leads to suppression in hadron productions. At the leading power in medium length, the suppression can be approximately expressed in terms of a shift in $z$ of the fragmentation function $D(z)$, and could be therefore interpreted as the collisional energy loss. We compare our calculation with existing experimental data. We also discuss the effect of quark mass on the suppression. Our approach can be extended to other observables in hadronic collisions.
[ { "version": "v1", "created": "Tue, 29 May 2007 14:37:16 GMT" } ]
2007-06-13T00:00:00
[ [ "Guo", "Xiaofeng", "" ], [ "Li", "Jun", "" ] ]
0705.4212
Antoine Folacci
St\'ephane Ancey, Yves D\'ecanini, Antoine Folacci and Paul Gabrielli
Surface plasmon polaritons and surface phonon polaritons on metallic and semiconducting spheres: Exact and semiclassical descriptions
v2: Typos corrected; v3: Paper extended to absorbing media, references added and title changed
JOSA B, Vol. 26, pp.1176-1187 (2009)
10.1364/JOSAB.26.001176
null
cond-mat.mtrl-sci cond-mat.other physics.optics
null
We study the interaction of an electromagnetic field with a non-absorbing or absorbing dispersive sphere in the framework of complex angular momentum techniques. We assume that the dielectric function of the sphere presents a Drude-like behavior or an ionic crystal behavior modelling metallic and semiconducting materials. We more particularly emphasize and interpret the modifications induced in the resonance spectrum by absorption. We prove that "resonant surface polariton modes" are generated by a unique surface wave, i.e., a surface (plasmon or phonon) polariton, propagating close to the sphere surface. This surface polariton corresponds to a particular Regge pole of the electric part (TM) of the S matrix of the sphere. From the associated Regge trajectory we can construct semiclassically the spectrum of the complex frequencies of the resonant surface polariton modes which can be considered as Breit-Wigner-type resonances. Furthermore, by taking into account the Stokes phenomenon, we derive an asymptotic expression for the position in the complex angular momentum plane of the surface polariton Regge pole. We then describe semiclassically the surface polariton and provide analytical expressions for its dispersion relation and its damping in the non-absorbing and absorbing cases. In these analytic expressions, we more particularly exhibit well-isolated terms directly linked to absorption. Finally, we explain why the photon-sphere system can be considered as an artificial atom (a ``plasmonic atom" or "phononic atom") and we briefly discuss the implication of our results in the context of the Casimir effect.
[ { "version": "v1", "created": "Tue, 29 May 2007 13:01:58 GMT" }, { "version": "v2", "created": "Mon, 4 Jun 2007 11:33:08 GMT" }, { "version": "v3", "created": "Mon, 10 Dec 2007 15:58:07 GMT" } ]
2009-10-20T00:00:00
[ [ "Ancey", "Stéphane", "" ], [ "Décanini", "Yves", "" ], [ "Folacci", "Antoine", "" ], [ "Gabrielli", "Paul", "" ] ]
0705.4213
Sergey Lysenko
Vincent Lafforgue (University Paris 6), Sergey Lysenko (University Paris 6)
Geometric Weil representation: local field case
LaTeX2e, 37 pages
Compositio Mathematica , Volume 145 , Issue 1 , January 2009 , pp. 56 - 88
10.1112/S0010437X08003771
null
math.RT math.AG
null
Let k be an algebraically closed field of characteristic >2, F=k((t)) and Mp(F) denote the metaplectic extension of Sp_{2d}(F). In this paper we propose a geometric analog of the Weil representation of Mp(F). This is a category of certain perverse sheaves on some stack, on which Mp(F) acts by functors. This construction will be used in math.RT/0701170 (and subsequent publications) for a proof of the geometric Langlands functoriality for some dual reductive pairs.
[ { "version": "v1", "created": "Tue, 29 May 2007 13:07:01 GMT" }, { "version": "v2", "created": "Tue, 26 Jun 2007 09:18:31 GMT" } ]
2023-08-25T00:00:00
[ [ "Lafforgue", "Vincent", "", "University Paris 6" ], [ "Lysenko", "Sergey", "", "University\n Paris 6" ] ]
0705.4214
James Lucietti
Hari K. Kunduri, James Lucietti, Harvey S. Reall
Near-horizon symmetries of extremal black holes
21 pages, latex. v2: minor improvements v3: Corrected error in argument excluding de Sitter and Poincare-symmetric cases. Results unaffected
Class.Quant.Grav.24:4169-4190,2007
10.1088/0264-9381/24/16/012
DCPT-07/25
hep-th gr-qc
null
Recent work has demonstrated an attractor mechanism for extremal rotating black holes subject to the assumption of a near-horizon SO(2,1) symmetry. We prove the existence of this symmetry for any extremal black hole with the same number of rotational symmetries as known four and five dimensional solutions (including black rings). The result is valid for a general two-derivative theory of gravity coupled to abelian vectors and uncharged scalars, allowing for a non-trivial scalar potential. We prove that it remains valid in the presence of higher-derivative corrections. We show that SO(2,1)-symmetric near-horizon solutions can be analytically continued to give SU(2)-symmetric black hole solutions. For example, the near-horizon limit of an extremal 5D Myers-Perry black hole is related by analytic continuation to a non-extremal cohomogeneity-1 Myers-Perry solution.
[ { "version": "v1", "created": "Tue, 29 May 2007 13:14:32 GMT" }, { "version": "v2", "created": "Fri, 29 Jun 2007 14:49:29 GMT" }, { "version": "v3", "created": "Mon, 28 Apr 2008 14:44:27 GMT" } ]
2008-11-26T00:00:00
[ [ "Kunduri", "Hari K.", "" ], [ "Lucietti", "James", "" ], [ "Reall", "Harvey S.", "" ] ]
0705.4215
M\'elin R\'egis
S. Duhot and R. M\'elin
Non local Andreev reflection in a carbon nanotube superconducting quantum interference device
13 pages, 8 figures, revised version
Phys. Rev. B 77, 014525 (2008)
10.1103/PhysRevB.77.014525
null
cond-mat.mes-hall cond-mat.supr-con
null
We investigate a superconducting quantum interference device (SQUID) based on carbon nanotubes in a fork geometry [J.-P. Cleuziou {\it et al.}, Nature Nanotechnology {\bf 1}, 53 (2006)], involving tunneling of evanescent quasiparticles through a superconductor over a distance comparable to the superconducting coherence length, with therefore ``non local'' processes generalizing non local Andreev reflection and elastic cotunneling. Non local processes induce a reduction of the critical current and modify the current-phase relation. We discuss arbitrary interface transparencies. Such devices in fork geometries are candidates for probing the phase coherence of crossed Andreev reflection.
[ { "version": "v1", "created": "Tue, 29 May 2007 13:24:17 GMT" }, { "version": "v2", "created": "Fri, 19 Oct 2007 13:28:14 GMT" } ]
2008-01-29T00:00:00
[ [ "Duhot", "S.", "" ], [ "Mélin", "R.", "" ] ]
0705.4216
Antoine Van Proeyen
Jan De Rydt, Jan Rosseel, Torsten T. Schmidt, Antoine Van Proeyen and Marco Zagermann
Symplectic structure of N=1 supergravity with anomalies and Chern-Simons terms
27 pages; v2: typos corrected; version to be published in Class.Quantum Grav
Class.Quant.Grav.24:5201-5220,2007
10.1088/0264-9381/24/20/017
MPP-2007-61, KUL-TF-07/11
hep-th hep-ph
null
The general actions of matter-coupled N=1 supergravity have Peccei-Quinn terms that may violate gauge and supersymmetry invariance. In addition, N=1 supergravity with vector multiplets may also contain generalized Chern-Simons terms. These have often been neglected in the literature despite their importance for gauge and supersymmetry invariance. We clarify the interplay of Peccei-Quinn terms, generalized Chern-Simons terms and quantum anomalies in the context of N=1 supergravity and exhibit conditions that have to be satisfied for their mutual consistency. This extension of the previously known N=1 matter-coupled supergravity actions follows naturally from the embedding of the gauge group into the group of symplectic duality transformations. Our results regarding this extension provide the supersymmetric framework for studies of string compactifications with axionic shift symmetries, generalized Chern-Simons terms and quantum anomalies.
[ { "version": "v1", "created": "Tue, 29 May 2007 13:25:18 GMT" }, { "version": "v2", "created": "Tue, 11 Sep 2007 10:23:43 GMT" } ]
2009-12-15T00:00:00
[ [ "De Rydt", "Jan", "" ], [ "Rosseel", "Jan", "" ], [ "Schmidt", "Torsten T.", "" ], [ "Van Proeyen", "Antoine", "" ], [ "Zagermann", "Marco", "" ] ]
0705.4217
Alexandre Zimmers
A. Zimmers, Y. Noat, T. Cren, W. Sacks, D. Roditchev, B. Liang, R. L. Greene
Local tunneling spectroscopy of the electron-doped cuprate Sm1.85Ce0.15CuO4
null
null
10.1103/PhysRevB.76.132505
null
cond-mat.supr-con
null
We present local tunneling spectroscopy in the optimally electron-doped cuprate Sm2-xCexCuO4 x=0.15. A clear signature of the superconducting gap is observed with an amplitude ranging from place to place and from sample to sample (Delta~3.5-6meV). Another spectroscopic feature is simultaneously observed at high energy above \pm 50meV. Its energy scale and temperature evolution is found to be compatible with previous photoemission and optical experiments. If interpreted as the signature of antiferromagnetic order in the samples, these results could suggest the coexistence on the local scale of antiferromagnetism and superconductivity on the electron-doped side of cuprate superconductors.
[ { "version": "v1", "created": "Tue, 29 May 2007 13:31:07 GMT" } ]
2009-11-13T00:00:00
[ [ "Zimmers", "A.", "" ], [ "Noat", "Y.", "" ], [ "Cren", "T.", "" ], [ "Sacks", "W.", "" ], [ "Roditchev", "D.", "" ], [ "Liang", "B.", "" ], [ "Greene", "R. L.", "" ] ]
0705.4218
Sandro Graffi
E.Caliceti, S.Graffi, J.Sjoestrand
$PT$ symmetric non-selfadjoint operators, diagonalizable and non-diagonalizable, with real discrete spectrum
20 pages
null
10.1088/1751-8113/40/33/014
null
math-ph math.MP
null
Consider in $L^2(R^d)$, $d\geq 1$, the operator family $H(g):=H_0+igW$. $\ds H_0= a^\ast_1a_1+... +a^\ast_da_d+d/2$ is the quantum harmonic oscillator with rational frequencies, $W$ a $P$ symmetric bounded potential, and $g$ a real coupling constant. We show that if $|g|<\rho$, $\rho$ being an explicitly determined constant, the spectrum of $H(g)$ is real and discrete. Moreover we show that the operator $\ds H(g)=a^\ast_1 a_1+a^\ast_2a_2+ig a^\ast_2a_1$ has real discrete spectrum but is not diagonalizable.
[ { "version": "v1", "created": "Tue, 29 May 2007 13:33:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Caliceti", "E.", "" ], [ "Graffi", "S.", "" ], [ "Sjoestrand", "J.", "" ] ]
0705.4219
Jonathan Roberts
S. F. King, J. P. Roberts and D. P. Roy
Natural Dark Matter in SUSY GUTs with Non-universal Gaugino Masses
20 pages, 3 figures
JHEP0710:106,2007
10.1088/1126-6708/2007/10/106
null
hep-ph
null
We consider neutralino dark matter within the framework of SUSY GUTs with non-universal gaugino masses. In particular we focus on the case of SU(5) with a SUSY breaking F-term in the 1, 24, 75 and 200 dimensional representations. We discuss the 24 case in some detail, and show that the bulk dark matter region cannot be accessed. We then go on to consider the admixture of the singlet SUSY breaking F-term with one of the 24, 75 or 200 dimensional F-terms, and show that in these cases it becomes possible to access the bulk regions corresponding to low fine-tuned dark matter. Our results are presented in the $(M_1,M_2)$ plane for fixed $M_3$ and so are useful for considering general GUT models, as well as more general non-universal gaugino models.
[ { "version": "v1", "created": "Tue, 29 May 2007 13:35:22 GMT" } ]
2008-11-26T00:00:00
[ [ "King", "S. F.", "" ], [ "Roberts", "J. P.", "" ], [ "Roy", "D. P.", "" ] ]
0705.4220
Will Dison
Will Dison
An Isoperimetric Function for Bestvina-Brady Groups
11 pages, 1 figure. Minor typos corrected and cosmetic changes made. Final version
Bull. Lond. Math. Soc. 40 (2008), no. 3, 384-394
10.1112/blms/bdn019
null
math.GR math.GT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Given a right-angled Artin group A, the associated Bestvina-Brady group is defined to be the kernel of the homomorphism A \to \mathbb{Z} that maps each generator in the standard presentation of A to a fixed generator of \mathbb{Z}. We prove that the Dehn function of an arbitrary finitely presented Bestvina-Brady group is bounded above by n^4. This is the best possible universal upper bound.
[ { "version": "v1", "created": "Tue, 29 May 2007 13:43:24 GMT" }, { "version": "v2", "created": "Wed, 17 Dec 2008 10:29:50 GMT" } ]
2008-12-17T00:00:00
[ [ "Dison", "Will", "" ] ]
0705.4221
Jonathan Touboul
Jonathan Touboul
Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain
27 pages
null
null
null
math.AP math.OC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this article we study a controllability problem for a parabolic and a hyperbolic partial differential equations in which the control is the shape of the domain where the equation holds. The quantity to be controlled is the trace of the solution into an open subdomain and at a given time, when the right hand side source term is known. The mapping that associates this trace to the shape of the domain is nonlinear. We show (i) an approximate controllability property for the linearized parabolic problem and (ii) an exact local controllability property for the linearized and the nonlinear equations in the hyperbolic case. We then address the same questions in the context of a finite difference spatial semi-discretization in both the parabolic and hyperbolic problems. In this discretized case again we prove a local controllability result for the parabolic problem, and an exact controllability for the hyperbolic case, applying a local surjectivity theorem together with a unique continuation property of the underlying adjoint discrete system.
[ { "version": "v1", "created": "Tue, 29 May 2007 13:54:21 GMT" }, { "version": "v2", "created": "Tue, 4 Sep 2007 09:32:04 GMT" }, { "version": "v3", "created": "Tue, 6 Nov 2012 19:37:22 GMT" } ]
2012-11-07T00:00:00
[ [ "Touboul", "Jonathan", "" ] ]
0705.4222
Eran Segev
Eran Segev, Baleegh Abdo, Oleg Shtempluck, Eyal Buks
Stochastic Resonance with a Single Metastable State
null
null
10.1103/PhysRevB.77.012501
null
cond-mat.supr-con cond-mat.other
null
We study thermal instability in NbN superconducting stripline resonators. The system exhibits extreme nonlinearity near a bifurcation, which separates a monostable zone and an astable one. The lifetime of the metastable state, which is locally stable in the monostable zone, is measure near the bifurcation and the results are compared with a theory. Near bifurcation, where the lifetime becomes relatively short, the system exhibits strong amplification of a weak input modulation signal. We find that the frequency bandwidth of this amplification mechanism is limited by the rate of thermal relaxation. When the frequency of the input modulation signal becomes comparable or larger than this rate the response of the system exhibits sub-harmonics of various orders.
[ { "version": "v1", "created": "Tue, 29 May 2007 13:59:31 GMT" } ]
2013-05-29T00:00:00
[ [ "Segev", "Eran", "" ], [ "Abdo", "Baleegh", "" ], [ "Shtempluck", "Oleg", "" ], [ "Buks", "Eyal", "" ] ]
0705.4223
Michele Trenti
M. Trenti, S. Ransom, P. Hut and D. C. Heggie
Predictions for Triple Stars with and without a Pulsar in Star Clusters
11 pages, minor changes to match MNRAS accepted version
null
10.1111/j.1365-2966.2008.13285.x
null
astro-ph
null
Though about 80 pulsar binaries have been detected in globular clusters so far, no pulsar has been found in a triple system in which all three objects are of comparable mass. Here we present predictions for the abundance of such triple systems, and for the most likely characteristics of these systems. Our predictions are based on an extensive set of more than 500 direct simulations of star clusters with primordial binaries, and a number of additional runs containing primordial triples. Our simulations employ a number N_{tot} of equal mass stars from N_{tot}=512 to N_{tot}=19661 and a primordial binary fraction from 0-50%. In addition, we validate our results against simulations with N=19661 that include a mass spectrum with a turn-off mass at 0.8 M_{sun}, appropriate to describe the old stellar populations of galactic globular clusters. Based on our simulations, we expect that typical triple abundances in the core of a dense cluster are two orders of magnitude lower than the binary abundances, which in itself already suggests that we don't have to wait too long for the first comparable-mass triple with a pulsar to be detected.
[ { "version": "v1", "created": "Tue, 29 May 2007 14:14:52 GMT" }, { "version": "v2", "created": "Thu, 3 Apr 2008 18:30:52 GMT" } ]
2009-11-13T00:00:00
[ [ "Trenti", "M.", "" ], [ "Ransom", "S.", "" ], [ "Hut", "P.", "" ], [ "Heggie", "D. C.", "" ] ]
0705.4224
Antonio Pineda
Antonio Pineda
Non-relativistic Quantum Mechanics versus Quantum Field Theories
4 pages, 6 figures. Invited talk given at 42nd Rencontres de Moriond on QCD and High-Energy Hadronic Interactions, La Thuile, March 2007
null
null
null
hep-ph
null
We briefly review the derivation of a non-relativistic quantum mechanics description of a weakly bound non-relativistic system from the underlying quantum field theory. We highlight the main techniques used.
[ { "version": "v1", "created": "Tue, 29 May 2007 14:15:28 GMT" } ]
2007-05-30T00:00:00
[ [ "Pineda", "Antonio", "" ] ]
0705.4225
Gen Kimura
Gen Kimura, Hiromichi Ohno, Hiroyuki Hayashi
How to detect a possible correlation from the information of a sub-system in quantum mechanical systems
7 pages, 1 figure
Phys. Rev. A 76, 042123 (2007)
10.1103/PhysRevA.76.042123
null
quant-ph
null
A possibility to detect correlations between two quantum mechanical systems only from the information of a subsystem is investigated. For generic cases, we prove that there exist correlations between two quantum systems if the time-derivative of the reduced purity is not zero. Therefore, an experimentalist can conclude non-zero correlations between his/her system and some environment if he/she finds the time-derivative of the reduced purity is not zero. A quantitative estimation of a time-derivative of the reduced purity with respect to correlations is also given. This clarifies the role of correlations in the mechanism of decoherence in open quantum systems.
[ { "version": "v1", "created": "Tue, 29 May 2007 14:16:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Kimura", "Gen", "" ], [ "Ohno", "Hiromichi", "" ], [ "Hayashi", "Hiroyuki", "" ] ]
0705.4226
Joachim De Lataillade
Joachim De Lataillade (PPS)
Second-Order Type Isomorphisms Through Game Semantics
accepted by Annals of Pure and Applied Logic, Special Issue on Game Semantics
null
null
null
cs.LO
null
The characterization of second-order type isomorphisms is a purely syntactical problem that we propose to study under the enlightenment of game semantics. We study this question in the case of second-order &#955;$\mu$-calculus, which can be seen as an extension of system F to classical logic, and for which we de&#64257;ne a categorical framework: control hyperdoctrines. Our game model of &#955;$\mu$-calculus is based on polymorphic arenas (closely related to Hughes' hyperforests) which evolve during the play (following the ideas of Murawski-Ong). We show that type isomorphisms coincide with the "equality" on arenas associated with types. Finally we deduce the equational characterization of type isomorphisms from this equality. We also recover from the same model Roberto Di Cosmo's characterization of type isomorphisms for system F. This approach leads to a geometrical comprehension on the question of second order type isomorphisms, which can be easily extended to some other polymorphic calculi including additional programming features.
[ { "version": "v1", "created": "Tue, 29 May 2007 14:26:26 GMT" } ]
2007-05-30T00:00:00
[ [ "De Lataillade", "Joachim", "", "PPS" ] ]
0705.4227
Federico Urban
C. Bambi, F.R. Urban
Brane Cosmology and KK Gravitinos
19 pages, references added, IoP style
JCAP0709:018,2007
10.1088/1475-7516/2007/09/018
null
hep-ph astro-ph
null
The cosmology of KK gravitinos in models with extra dimensions is considered. The main result is that the production of such KK modes is not compatible with an epoch of non--standard expansion after inflation. This is so because the BBN constraint on the zero mode forces the reduced five dimensional Planck mass $M_5$ down to values much smaller than the usual four dimensional one, but this in turn implies many KK states available for a given temperature. Once these states are taken into account one finds that there is no $M_5$ for which the produced KK gravitinos satisfy BBN and overclosure constraints. This conclusion holds for both flat and warped models in which only gravity propagates in the full spacetime.
[ { "version": "v1", "created": "Tue, 29 May 2007 14:32:53 GMT" }, { "version": "v2", "created": "Tue, 5 Jun 2007 21:42:47 GMT" } ]
2008-11-26T00:00:00
[ [ "Bambi", "C.", "" ], [ "Urban", "F. R.", "" ] ]
0705.4228
Joachim De Lataillade
Joachim De Lataillade (PPS)
Curry-style type Isomorphisms and Game Semantics
Accept\'e \`a Mathematical Structures for Computer Science, Special Issue on Type Isomorphisms
null
null
null
cs.LO
null
Curry-style system F, ie. system F with no explicit types in terms, can be seen as a core presentation of polymorphism from the point of view of programming languages. This paper gives a characterisation of type isomorphisms for this language, by using a game model whose intuitions come both from the syntax and from the game semantics universe. The model is composed of: an untyped part to interpret terms, a notion of game to interpret types, and a typed part to express the fact that an untyped strategy plays on a game. By analysing isomorphisms in the model, we prove that the equational system corresponding to type isomorphisms for Curry-style system F is the extension of the equational system for Church-style isomorphisms with a new, non-trivial equation: forall X.A = A[forall Y.Y/X] if X appears only positively in A.
[ { "version": "v1", "created": "Tue, 29 May 2007 14:31:02 GMT" } ]
2007-05-30T00:00:00
[ [ "De Lataillade", "Joachim", "", "PPS" ] ]
0705.4229
Andrej Plecenik
M.Gregor, R. Micunek, T. Plecenik, T. Roch, A. Lugstein, E. Bertagnolli, I.Vavra, M. Stefecka, M. Kubinec, M.Leporis, V. Gasparik, P. Kus, and A. Plecenik
Superconducting MgB2 thin films nano-bridges for cryo-electronic application
null
null
null
null
cond-mat.supr-con
null
Precursor MgB2 thin films were prepared on sapphire substrates by magnetron sputtering. Influence of ex-situ annealing process on superconducting MgB2 thin films roughness is discussed. Optimized annealing process of MgB precursor thin films in vacuum results in smooth superconducting MgB2 thin films with roughness below 10 nm, critical temperature Tcon = 31 K and transition width DTc less than 1 K. Nano-bridges based on the superconducting MgB2 thin films using optical and Focused Ion Beam lithography were prepared. Critical current density jc (4.2 K) measured on 50 nm wide strip was 7.3x106 A/cm2 and no significant loss of superconducting properties was detected. Resistance vs. temperature and critical current vs. temperature characteristics were measured on these structures using standard DC four probe measurements.
[ { "version": "v1", "created": "Tue, 29 May 2007 14:31:56 GMT" } ]
2007-05-30T00:00:00
[ [ "Gregor", "M.", "" ], [ "Micunek", "R.", "" ], [ "Plecenik", "T.", "" ], [ "Roch", "T.", "" ], [ "Lugstein", "A.", "" ], [ "Bertagnolli", "E.", "" ], [ "Vavra", "I.", "" ], [ "Stefecka", "M.", "" ], [ "Kubinec", "M.", "" ], [ "Leporis", "M.", "" ], [ "Gasparik", "V.", "" ], [ "Kus", "P.", "" ], [ "Plecenik", "A.", "" ] ]
0705.4230
Aiyou Chen
Aiyou Chen, Peter J. Bickel
Efficient independent component analysis
Published at http://dx.doi.org/10.1214/009053606000000939 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Statistics 2006, Vol. 34, No. 6, 2825-2855
10.1214/009053606000000939
IMS-AOS-AOS0205
stat.ME math.ST stat.ML stat.TH
null
Independent component analysis (ICA) has been widely used for blind source separation in many fields such as brain imaging analysis, signal processing and telecommunication. Many statistical techniques based on M-estimates have been proposed for estimating the mixing matrix. Recently, several nonparametric methods have been developed, but in-depth analysis of asymptotic efficiency has not been available. We analyze ICA using semiparametric theories and propose a straightforward estimate based on the efficient score function by using B-spline approximations. The estimate is asymptotically efficient under moderate conditions and exhibits better performance than standard ICA methods in a variety of simulations.
[ { "version": "v1", "created": "Tue, 29 May 2007 15:15:33 GMT" }, { "version": "v2", "created": "Thu, 2 Aug 2007 06:04:57 GMT" } ]
2009-09-29T00:00:00
[ [ "Chen", "Aiyou", "" ], [ "Bickel", "Peter J.", "" ] ]
0705.4231
Jamie Walls
Jamie D. Walls
Parametric spin excitations in lateral quantum dots
correct font in figure
null
10.1103/PhysRevB.76.195307
null
cond-mat.other cond-mat.mes-hall
null
In this work, the spin dynamics of a single electron under parametric modulation of a lateral quantum dot's electrostatic potential in the presence of spin-orbit coupling is investigated. Numerical and theoretical calculations demonstrate that, by squeezing and/or moving the electron's wave function, spin rotations with Rabi frequencies on the order of tens of megahertz can be achieved with experimentally accessible parameters in both parabolic and square lateral quantum dots. Applications of parametric excitations for determining spin-orbit coupling parameters and for increasing the spin polarization in the electronic ground are demonstrated.
[ { "version": "v1", "created": "Tue, 29 May 2007 15:10:20 GMT" }, { "version": "v2", "created": "Tue, 29 May 2007 20:44:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Walls", "Jamie D.", "" ] ]
0705.4232
Sergei Chekanov V.
S. Chekanov (for the ZEUS Collaboration)
First observation of (anti)deuterons in DIS
4 pages, 4 eps figures. Proceedings of the XV International Workshop on Deep Inelastic Scattering (DIS07 April 16-20, 2007, Munich, Germany)
null
null
null
hep-ex
null
First observation of (anti)deuterons in deep inelastic ep scattering (DIS) measured with the ZEUS detector at HERA is reported. The production rate of deuterons is higher than that of antideuterons. However, no asymmetry in the production rate of protons and antiprotons was found. The (anti)deuteron yield is approximately three orders of magnitude smaller than that of (anti)protons, which is consistent with the world measurements.
[ { "version": "v1", "created": "Tue, 29 May 2007 15:18:51 GMT" } ]
2007-05-30T00:00:00
[ [ "Chekanov", "S.", "", "for the ZEUS Collaboration" ] ]
0705.4233
Hiroyuki Yamase
Hiroyuki Yamase
Effect of magnetic field on spontaneous Fermi surface symmetry breaking
28 pages, 9 figures
Phys. Rev. B 76, 155117 (2007)
10.1103/PhysRevB.76.155117
null
cond-mat.str-el
null
We study magnetic field effects on spontaneous Fermi surface symmetry breaking with d-wave symmetry, the so-called d-wave "Pomeranchuk instability''. We use a mean-field model of electrons with a pure forward scattering interaction on a square lattice. When either the majority or the minority spin band is tuned close to the van Hove filling by a magnetic field, the Fermi surface symmetry breaking occurs in both bands, but with a different magnitude of the order parameter. The transition is typically of second order at high temperature and changes to first order at low temperature; the end points of the second order line are tricritical points. This qualitative picture does not change even in the limit of a large magnetic field, although the magnetic field substantially suppresses the transition temperature at the van Hove filling. The field produces neither a quantum critical point nor a quantum critical end point in our model. In the weak coupling limit, typical quantities characterizing the phase diagram have a field-independent single energy scale while its dimensionless coefficient varies with the field. The field-induced Fermi surface symmetry breaking is a promising scenario for the bilayer ruthenate Sr3Ru2O7, and future issues are discussed to establish such a scenario.
[ { "version": "v1", "created": "Tue, 29 May 2007 15:18:24 GMT" } ]
2009-11-13T00:00:00
[ [ "Yamase", "Hiroyuki", "" ] ]
0705.4234
Farzaneh Sheidaei
F. Sheidaei, M. Bahmanabadi, A. Keivani, M. Khakian Ghomi, J. Samimi, and A. Shadkam
A Study on anisotropy of cosmic ray distribution with a small array of water-cherenkov detectors
16 pages 9 figs and one table
Phys.Rev.D76:082002,2007
10.1103/PhysRevD.76.082002
null
astro-ph
null
The study of the anisotropy of the arrival directions is an essential tool to investigate the origin and propagation of cosmic rays primaries. A simple way of recording many cosmic rays is to record coincidences between a number of detectors. We have monitored multi-TeV cosmic rays by a small array of water cherenkov detectors in Tehran(35 43 N, 51 20 E, 1200m a.s.l). More than 1.1*10^6 extensive air shower events were recorded. In addition to the Compton- Getting effect due to the motion of the earth in the Galaxy, an anisotropy has been observed which is due to a unidirectional anisotropy of cosmic ray flow along the Galactic arms.
[ { "version": "v1", "created": "Tue, 29 May 2007 15:23:10 GMT" } ]
2008-12-18T00:00:00
[ [ "Sheidaei", "F.", "" ], [ "Bahmanabadi", "M.", "" ], [ "Keivani", "A.", "" ], [ "Ghomi", "M. Khakian", "" ], [ "Samimi", "J.", "" ], [ "Shadkam", "A.", "" ] ]
0705.4235
Ma Luo
Ma Luo, Zhibing Li, Chengguang Bao
Spin evolution of spin-1 Bose-Einstein condensates
7 pages, 3 figures,
null
10.1103/PhysRevA.77.043625
null
physics.atm-clus
null
An analytical formula is obtained to describe the evolution of the average populations of spin components of spin-1 atomic gases. The formula is derived from the exact time-dependent solution of the Hamiltonian $H_{S}=c mathbf{S}^{2}$ without using approximation. Therefore it goes beyond the mean field theory and provides a general, accurate, and complete description for the whole process of non-dissipative evolution starting from various initial states. The numerical results directly given by the formula coincide qualitatively well with existing experimental data, and also with other theoretical results from solving dynamic differential equations. For some special cases of initial state, instead of undergoing strong oscillation as found previously, the evolution is found to go on very steadily in a very long duration.
[ { "version": "v1", "created": "Tue, 29 May 2007 15:24:49 GMT" } ]
2013-05-29T00:00:00
[ [ "Luo", "Ma", "" ], [ "Li", "Zhibing", "" ], [ "Bao", "Chengguang", "" ] ]
0705.4236
Nicholas J. Proudfoot
Nicholas J. Proudfoot
A survey of hypertoric geometry and topology
null
null
null
null
math.AG math.CO
null
Hypertoric varieties are quaternionic analogues of toric varieties, important for their interaction with the combinatorics of matroids as well as for their prominent place in the rapidly expanding field of algebraic symplectic and hyperkahler geometry. The aim of this survey is to give clear definitions and statements of known results, serving both as a reference and as a point of entry to this beautiful subject.
[ { "version": "v1", "created": "Tue, 29 May 2007 15:28:48 GMT" } ]
2007-05-30T00:00:00
[ [ "Proudfoot", "Nicholas J.", "" ] ]
0705.4237
Jeffrey Humpherys
Blake Barker, Jeffrey Humpherys, Keith Rudd, and Kevin Zumbrun
Stability of viscous shocks in isentropic gas dynamics
null
null
10.1007/s00220-008-0487-4
null
math.AP math.DS
null
In this paper, we examine the stability problem for viscous shock solutions of the isentropic compressible Navier--Stokes equations, or $p$-system with real viscosity. We first revisit the work of Matsumura and Nishihara, extending the known parameter regime for which small-amplitude viscous shocks are provably spectrally stable by an optimized version of their original argument. Next, using a novel spectral energy estimate, we show that there are no purely real unstable eigenvalues for any shock strength. By related estimates, we show that unstable eigenvalues are confined to a bounded region independent of shock strength. Then through an extensive numerical Evans function study, we show that there is no unstable spectrum in the entire right-half plane, thus demonstrating numerically that large-amplitude shocks are spectrally stable up to Mach number $M\approx 3000$ for $1 \le \gamma \leq 3$. This strongly suggests that shocks are stable independent of amplitude and the adiabatic constant $\gamma$. We complete our study by showing that finite-difference simulations of perturbed large-amplitude shocks converge to a translate of the original shock wave, as expected.
[ { "version": "v1", "created": "Tue, 29 May 2007 15:35:19 GMT" } ]
2017-06-12T00:00:00
[ [ "Barker", "Blake", "" ], [ "Humpherys", "Jeffrey", "" ], [ "Rudd", "Keith", "" ], [ "Zumbrun", "Kevin", "" ] ]
0705.4238
Daniel Gauthier
William R. LeFew, Stephanos Venakides, and Daniel J. Gauthier
Accurate description of optical precursors and their relation to weak-field coherent optical transients
11 pages, 4 figures
null
null
null
physics.optics physics.class-ph physics.med-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study theoretically the propagation of a step-modulated optical field as it passes through a dispersive dielectric made up of a dilute collection of oscillators characterized by a single narrow-band resonance. The propagated field is given in terms of an integral of a Fourier type, which cannot be evaluated even for simple models of the dispersive dielectric. The fact that the oscillators have a low number density (dilute medium) and have a narrow-band resonance allows us to simplify the integrand. In this case, the integral can be evaluated exactly, although it is not possible using this method to separate out the transient part of the propagated field known as optical precursors. We also use an asymptotic method (saddle-point method) to evaluate the integral. The contributions to the integral related to the saddle-points of the integrand give rise to the optical precursors. We obtain analytic expressions for the precursor fields and the domain over which the asymptotic method is valid. When combined to obtain the total transient field, we find that the agreement between the solutions obtained by the asymptotic and the exact methods is excellent. Our results demonstrate that precursors can persist for many nanoseconds and the chirp in the instantaneous frequency of the precursors can manifest itself in beats in the transmitted intensity. Our work strongly suggests that precursors have been observed in many previous experiments.
[ { "version": "v1", "created": "Tue, 29 May 2007 15:37:50 GMT" }, { "version": "v2", "created": "Mon, 30 Jun 2008 17:42:39 GMT" }, { "version": "v3", "created": "Wed, 3 Jun 2009 21:29:21 GMT" } ]
2009-06-04T00:00:00
[ [ "LeFew", "William R.", "" ], [ "Venakides", "Stephanos", "" ], [ "Gauthier", "Daniel J.", "" ] ]
0705.4239
Alexandru Ionescu
A. D. Ionescu, C. E. Kenig, D. Tataru
Global well-posedness of the KP-I initial-value problem in the energy space
null
null
10.1007/s00222-008-0115-0
null
math.AP
null
We prove that the KP-I initial value problem is globally well-posed in the natural energy space of the equation.
[ { "version": "v1", "created": "Tue, 29 May 2007 15:46:27 GMT" } ]
2009-11-13T00:00:00
[ [ "Ionescu", "A. D.", "" ], [ "Kenig", "C. E.", "" ], [ "Tataru", "D.", "" ] ]
0705.4240
Nicola Bartolo
N. Bartolo (Physics Dept. and INFN, Padova, Italy), S. Matarrese (Physics Dept. and INFN, Padova, Italy), A. Riotto (Dep. de Physique Theorique, Geneva, Switzerland and INFN Padova, Italy), A. Vaihkonen (Dep. de Physique Theorique, Geneva, Switzerland)
The Maximal Amount of Gravitational Waves in the Curvaton Scenario
4 pages, laTeX; added a clarifying comment in the conclusions, version matches publication in PRD, Rapid Communications
Phys.Rev.D76:061302,2007
10.1103/PhysRevD.76.061302
null
astro-ph gr-qc hep-ph hep-th
null
The curvaton scenario for the generation of the cosmological curvature perturbation on large scales represents an alternative to the standard slow-roll scenario of inflation in which the observed density perturbations are due to fluctuations of the inflaton field itself. Its basic assumption is that the initial curvature perturbation due to the inflaton field is negligible. This is attained by lowering the energy scale of inflation, thereby highly suppressing the amount of gravitational waves produced during inflation. We compute the power-spectrum of the gravitational waves generated at second order in perturbation theory by the curvaton (isocurvature) perturbations between the end of inflation and the curvaton decay. An interesting property of this contribution to the tensor perturbations is that it is directly proportional to the amount of non-Gaussianity predicted within the curvaton scenario. We show that the spectrum of gravitational waves may be in the range of future gravitational wave detectors.
[ { "version": "v1", "created": "Tue, 29 May 2007 15:47:57 GMT" }, { "version": "v2", "created": "Mon, 24 Sep 2007 09:38:38 GMT" } ]
2008-12-18T00:00:00
[ [ "Bartolo", "N.", "", "Physics Dept. and INFN, Padova, Italy" ], [ "Matarrese", "S.", "", "Physics Dept. and INFN, Padova, Italy" ], [ "Riotto", "A.", "", "Dep. de Physique\n Theorique, Geneva, Switzerland and INFN Padova, Italy" ], [ "Vaihkonen", "A.", "", "Dep. de\n Physique Theorique, Geneva, Switzerland" ] ]
0705.4241
Thierry Ferrus
T. Ferrus, R. George, C. H. W. Barnes, N. Lumpkin, D. J. Paul and M. Pepper
Variation of the hopping exponent in disordered silicon MOSFETs
6 pages, 5 figures
J. Phys.: Condens. Matter 20, 415226 (2008)
10.1088/0953-8984/20/41/415226
null
cond-mat.str-el cond-mat.dis-nn
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We observe a complex change in the hopping exponent value from 1/2 to 1/3 as a function of disorder strength and electron density in a sodium-doped silicon MOSFET. The disorder was varied by applying a gate voltage and thermally drifting the ions to different positions in the oxide. The same gate was then used at low temperature to modify the carrier concentration. Magnetoconductivity measurements are compatible with a change in transport mechanisms when either the disorder or the electron density is modified suggesting a possible transition from a Mott insulator to an Anderson insulator in these systems.
[ { "version": "v1", "created": "Tue, 29 May 2007 16:28:18 GMT" }, { "version": "v10", "created": "Sat, 27 Sep 2008 00:21:27 GMT" }, { "version": "v2", "created": "Wed, 30 May 2007 11:10:59 GMT" }, { "version": "v3", "created": "Mon, 18 Jun 2007 19:22:13 GMT" }, { "version": "v4", "created": "Thu, 28 Jun 2007 10:24:03 GMT" }, { "version": "v5", "created": "Fri, 13 Jul 2007 15:54:08 GMT" }, { "version": "v6", "created": "Wed, 24 Oct 2007 10:54:23 GMT" }, { "version": "v7", "created": "Wed, 7 Nov 2007 17:30:42 GMT" }, { "version": "v8", "created": "Wed, 19 Mar 2008 12:39:20 GMT" }, { "version": "v9", "created": "Wed, 3 Sep 2008 15:38:57 GMT" } ]
2008-09-27T00:00:00
[ [ "Ferrus", "T.", "" ], [ "George", "R.", "" ], [ "Barnes", "C. H. W.", "" ], [ "Lumpkin", "N.", "" ], [ "Paul", "D. J.", "" ], [ "Pepper", "M.", "" ] ]
0705.4242
Fabrice Silva
Fabrice Silva (LMA), Jean Kergomard (LMA), Christophe Vergez (LMA)
Oscillation thresholds for "strinking outwards" reeds coupled to a resonator
null
null
null
null
physics.class-ph
null
This paper considers a "striking outwards" reed coupled to a resonator. This expression, due to Helmholtz, is not discussed here : it corresponds to the most common model of a lip-type valve, when the valve is assumed to be a one degree of freedom oscillator. The presented work is an extension of the works done by Wilson and Beavers (1974), Tarnopolsky (2000). The range of the playing frequencies is investigated. The first results are analytical : when no losses are present in the resonator, it is proven that the ratio between the threshold frequency and the reed resonance frequency is found to be necessarily within the interval between unity and the square root of 3. This is a musical sixth. Actually the interval is largely smaller, and this is in accordance with e.g. the results by Cullen et al.. The smallest blowing pressure is found to be directly related to the quality factor of the reed. Numerical results confirm these statements, and are discussed in comparison with previous ones by Cullen et al (2000).
[ { "version": "v1", "created": "Tue, 29 May 2007 15:50:37 GMT" } ]
2007-05-30T00:00:00
[ [ "Silva", "Fabrice", "", "LMA" ], [ "Kergomard", "Jean", "", "LMA" ], [ "Vergez", "Christophe", "", "LMA" ] ]
0705.4243
Steffen Wirth
Sahana Roessler, S. Ernst, B. Padmanabhan, Suja Elizabeth, H. L. Bhat, F. Steglich, S. Wirth
Polaronic state and nanometer-scale phase separation in colossal magnetoresistive manganites
null
null
10.1209/0295-5075/83/17009
null
cond-mat.str-el
null
High resolution topographic images obtained by scanning tunneling microscope in the insulating state of Pr0.68Pb0.32MnO3 single crystals showed regular stripe-like or zigzag patterns on a width scale of 0.4 - 0.5 nm confirming a high temperature polaronic state. Spectroscopic studies revealed inhomogeneous maps of zero-bias conductance with small patches of metallic clusters on length scale of 2 - 3 nm only within a narrow temperature range close to the metal-insulator transition. The results give a direct observation of polarons in the insulating state, phase separation of nanometer-scale metallic clusters in the paramagnetic metallic state, and a homogeneous ferromagnetic state.
[ { "version": "v1", "created": "Tue, 29 May 2007 15:58:10 GMT" } ]
2009-11-13T00:00:00
[ [ "Roessler", "Sahana", "" ], [ "Ernst", "S.", "" ], [ "Padmanabhan", "B.", "" ], [ "Elizabeth", "Suja", "" ], [ "Bhat", "H. L.", "" ], [ "Steglich", "F.", "" ], [ "Wirth", "S.", "" ] ]
0705.4244
Jeffrey Humpherys
Jeffrey Humpherys, Olivier Laffite, and Kevin Zumbrun
Stability of isentropic viscous shock profiles in the high-Mach number limit
null
null
10.1007/s00220-009-0885-2
null
math.AP
null
By a combination of asymptotic ODE estimates and numerical Evans function calculations, we establish stability of viscous shock solutions of the isentropic compressible Navier--Stokes equations with $\gamma$-law pressure (i) in the limit as Mach number $M$ goes to infinity, for any $\gamma\ge 1$ (proved analytically), and (ii) for $M\ge 2,500$, $\gamma\in [1,2.5]$ (demonstrated numerically). This builds on and completes earlier studies by Matsumura--Nishihara and Barker--Humpherys--Rudd--Zumbrun establishing stability for low and intermediate Mach numbers, respectively, indicating unconditional stability, independent of shock amplitude, of viscous shock waves for $\gamma$-law gas dynamics in the range $\gamma \in [1,2.5]$. Other $\gamma$-values may be treated similarly, but have not been checked numerically. The main idea is to establish convergence of the Evans function in the high-Mach number limit to that of a pressureless, or ``infinitely compressible'', gas with additional upstream boundary condition determined by a boundary-layer analysis. Recall that low-Mach number behavior is incompressible.
[ { "version": "v1", "created": "Tue, 29 May 2007 15:58:18 GMT" } ]
2017-06-09T00:00:00
[ [ "Humpherys", "Jeffrey", "" ], [ "Laffite", "Olivier", "" ], [ "Zumbrun", "Kevin", "" ] ]
0705.4245
Aline Kurtzmann
A. Kurtzmann
The ODE method for some self-interacting diffusions on non-compact spaces
revised version
null
null
null
math.PR
null
Self-interacting diffusions are solutions to SDEs with a drift term depending on the process and its normalized occupation measure $\mu_t$ (via an interaction potential and a confinement potential). We establish a relation between the asymptotic behavior of $\mu_t$ and the asymptotic behavior of a deterministic dynamical flow (defined on the space of the Borel probability measures). We extend previous results on $\mathbb{R}^d$ or more generally a smooth complete connected Riemannian manifold without boundary. We will also give some sufficient conditions for the convergence of $\mu_t$. Finally, we will illustrate our study with an example on $\mathbb{R}^2$.
[ { "version": "v1", "created": "Tue, 29 May 2007 16:02:29 GMT" }, { "version": "v2", "created": "Tue, 13 Nov 2007 11:59:45 GMT" }, { "version": "v3", "created": "Sun, 17 Feb 2008 12:05:05 GMT" } ]
2008-02-17T00:00:00
[ [ "Kurtzmann", "A.", "" ] ]
0705.4246
Nicholas Touikan
Nicholas W M Touikan
The equation w(x,y)=u over free groups
1 Figure. Modifications made after referee comments
J. Group Theory, 12 (2009), no 4, 611 -- 634
10.1515/JGT.2008.100
null
math.GR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Using the theory developed by Olga Kharlampovich, Alexei Miasnikov, and, independently, by Zlil Sela to describe the set of homomorphisms of a f.g. group G into a free group F, we describe the solutions to equations with coefficients from F and unknowns x,y of the form w(x,y) = u, where u lies in F and w(x,y) is a word in {x,y}^\{pm 1}. We also give an example of a single equation whose solutions cannot be described with only one "level" of automorphisms.
[ { "version": "v1", "created": "Tue, 29 May 2007 16:06:23 GMT" }, { "version": "v2", "created": "Thu, 31 May 2007 01:43:29 GMT" }, { "version": "v3", "created": "Fri, 1 Jun 2007 18:48:53 GMT" }, { "version": "v4", "created": "Thu, 15 Nov 2007 17:40:07 GMT" }, { "version": "v5", "created": "Thu, 25 Sep 2008 21:41:14 GMT" } ]
2014-03-27T00:00:00
[ [ "Touikan", "Nicholas W M", "" ] ]
0705.4247
Sergiy Akkelin
S. V. Akkelin
Characteristic length of dynamical reduction models and decay of cosmological vacuum
9 pages, minor corrections, comments are welcome
null
null
null
quant-ph astro-ph gr-qc
null
Characteristic length of mass density resolution in dynamical reduction models is calculated utilizing energy conservation law and viable cosmological model with decreasing energy density of vacuum (dark energy density). The value found, $ \sim 10^{-5}$ cm, numerically coincides with phenomenological spatial short-length cutoff parameter introduced in the Ghirardi-Rimini-Weber model. It seems that our results support the gravity induced mechanism of dynamical reduction.
[ { "version": "v1", "created": "Tue, 29 May 2007 16:14:52 GMT" }, { "version": "v2", "created": "Wed, 6 Jun 2007 17:42:43 GMT" }, { "version": "v3", "created": "Fri, 15 Jun 2007 14:07:25 GMT" } ]
2011-11-10T00:00:00
[ [ "Akkelin", "S. V.", "" ] ]
0705.4248
Bart Cleuren
B. Cleuren and C. Van den Broeck
Fluctuation theorem for black-body radiation
4 pages, 3 figures
null
10.1209/0295-5075/79/30001
null
cond-mat.stat-mech
null
The fluctuation theorem is verified for black-body radiation, provided the bunching of photons is taken into account appropriately.
[ { "version": "v1", "created": "Tue, 29 May 2007 16:29:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Cleuren", "B.", "" ], [ "Broeck", "C. Van den", "" ] ]
0705.4249
Betty Tsang
M. Mocko, M. B. Tsang, Z.Y. Sun, L. Andronenko, M. Andronenko, F. Delaunay, M. Famiano, W. A. Friedman, V. Henzl, D. Henzlova, H. Hui, X. D. Liu, S. Lukyanov, W. G. Lynch, A. M. Rogers, and M. S. Wallace
Extrapolation of neutron-rich isotope cross-sections from projectile fragmentation
accepted for publication in Europhysics Letters
Europhys.Lett.79:12001,2007
10.1209/0295-5075/79/12001
null
nucl-ex
null
Using the measured fragmentation cross sections produced from the 48Ca and 64Ni beams at 140 MeV per nucleon on 9Be and 181Ta targets, we find that the cross sections of unmeasured neutron rich nuclei can be extrapolated using a systematic trend involving the average binding energy. The extrapolated cross-sections will be very useful in planning experiments with neutron rich isotopes produced from projectile fragmentation. The proposed method is general and could be applied to other fragmentation systems including those used in other radioactive ion beam facilities.
[ { "version": "v1", "created": "Tue, 29 May 2007 16:30:34 GMT" } ]
2008-11-26T00:00:00
[ [ "Mocko", "M.", "" ], [ "Tsang", "M. B.", "" ], [ "Sun", "Z. Y.", "" ], [ "Andronenko", "L.", "" ], [ "Andronenko", "M.", "" ], [ "Delaunay", "F.", "" ], [ "Famiano", "M.", "" ], [ "Friedman", "W. A.", "" ], [ "Henzl", "V.", "" ], [ "Henzlova", "D.", "" ], [ "Hui", "H.", "" ], [ "Liu", "X. D.", "" ], [ "Lukyanov", "S.", "" ], [ "Lynch", "W. G.", "" ], [ "Rogers", "A. M.", "" ], [ "Wallace", "M. S.", "" ] ]
0705.4250
Tijmen Euser
Tijmen G. Euser, Hong Wei, Jeroen Kalkman, Yoonho Jun, Albert Polman, David J. Norris, and Willem L. Vos
Ultrafast optical switching of three-dimensional Si inverse opal photonic band gap crystals
null
J. Appl. Phys. 102, 053111 (2007) (6 pages)
10.1063/1.2777134
null
physics.optics
null
We present ultrafast optical switching experiments on 3D photonic band gap crystals. Switching the Si inverse opal is achieved by optically exciting free carriers by a two-photon process. We probe reflectivity in the frequency range of second order Bragg diffraction where the photonic band gap is predicted. We find good experimental switching conditions for free-carrier plasma frequencies between 0.3 and 0.7 times the optical frequency: we thus observe a large frequency shift of up to D omega/omega= 1.5% of all spectral features including the peak that corresponds to the photonic band gap. We deduce a corresponding large refractive index change of Dn'_Si/n'_Si= 2.0% and an induced absorption length that is longer than the sample thickness. We observe a fast decay time of 21 ps, which implies that switching could potentially be repeated at GHz rates. Such a high switching rate is relevant to future switching and modulation applications.
[ { "version": "v1", "created": "Tue, 29 May 2007 17:04:22 GMT" }, { "version": "v2", "created": "Fri, 6 Jul 2007 08:18:31 GMT" }, { "version": "v3", "created": "Wed, 19 Sep 2007 07:42:39 GMT" } ]
2007-09-19T00:00:00
[ [ "Euser", "Tijmen G.", "" ], [ "Wei", "Hong", "" ], [ "Kalkman", "Jeroen", "" ], [ "Jun", "Yoonho", "" ], [ "Polman", "Albert", "" ], [ "Norris", "David J.", "" ], [ "Vos", "Willem L.", "" ] ]
0705.4251
Luciano da Fontoura Costa
Luciano da F. Costa and Roberto F. S. Andrade
What are the Best Hierarchical Descriptors for Complex Networks?
9 pages, 4 figures
New J. Phys. 9 (2007) 311
10.1088/1367-2630/9/9/311
null
cond-mat.dis-nn cond-mat.stat-mech
null
This work reviews several hierarchical measurements of the topology of complex networks and then applies feature selection concepts and methods in order to quantify the relative importance of each measurement with respect to the discrimination between four representative theoretical network models, namely Erd\"{o}s-R\'enyi, Barab\'asi-Albert, Watts-Strogatz as well as a geographical type of network. The obtained results confirmed that the four models can be well-separated by using a combination of measurements. In addition, the relative contribution of each considered feature for the overall discrimination of the models was quantified in terms of the respective weights in the canonical projection into two dimensions, with the traditional clustering coefficient, hierarchical clustering coefficient and neighborhood clustering coefficient resulting particularly effective. Interestingly, the average shortest path length and hierarchical node degrees contributed little for the separation of the four network models.
[ { "version": "v1", "created": "Tue, 29 May 2007 16:52:44 GMT" } ]
2007-09-19T00:00:00
[ [ "Costa", "Luciano da F.", "" ], [ "Andrade", "Roberto F. S.", "" ] ]
0705.4252
Masamune Oguri
Masamune Oguri
Is There a Quad Problem among Optical Gravitational Lenses?
9 pages, 4 figures, invited contribution to appear in New Journal of Physics (Focus on Gravitational Lensing)
New J.Phys.9:442,2007
10.1088/1367-2630/9/12/442
null
astro-ph
null
Most of optical gravitational lenses recently discovered in the Sloan Digital Sky Survey Quasar Lens Search (SQLS) have two-images rather than four-images, in marked contrast to radio lenses for which the fraction of four-image lenses (quad fraction) is quite high. We revisit the quad fraction among optical lenses by taking the selection function of the SQLS into account. We find that the current observed quad fraction in the SQLS is indeed lower than, but consistent with, the prediction of our theoretical model. The low quad fraction among optical lenses, together with the high quad fraction among radio lenses, implies that the quasar optical luminosity function has a relatively shallow faint end slope.
[ { "version": "v1", "created": "Tue, 29 May 2007 17:06:47 GMT" } ]
2009-06-23T00:00:00
[ [ "Oguri", "Masamune", "" ] ]
0705.4253
Ciamac Moallemi
Ciamac C. Moallemi and Benjamin Van Roy
Convergence of the Min-Sum Algorithm for Convex Optimization
null
null
null
null
math.OC
null
We establish that the min-sum message-passing algorithm and its asynchronous variants converge for a large class of unconstrained convex optimization problems.
[ { "version": "v1", "created": "Tue, 29 May 2007 17:31:03 GMT" } ]
2007-05-30T00:00:00
[ [ "Moallemi", "Ciamac C.", "" ], [ "Van Roy", "Benjamin", "" ] ]
0705.4254
Pavlo Zubko
P. Zubko, G. Catalan, A. Buckley, P. R. L. Welche, J. F. Scott
Strain gradient induced polarization in SrTiO3 single crystals
4 pages, 3 figures, 1 table
Phys. Rev. Lett. 99, 167601 (2007)
10.1103/PhysRevLett.99.167601
null
cond-mat.mtrl-sci
null
Piezoelectricity is inherent only in noncentrosymmetric materials, but a piezoelectric response can also be obtained in centrosymmetric crystals if subjected to inhomogeneous deformation. This phenomenon, known as flexoelectricity, affects the functional properties of insulators, particularly thin films of high permittivity materials. We have measured strain-gradient-induced polarization in single crystals of paraelectric SrTiO$_3$ as a function of temperature and orientation down to and below the 105 K phase transition. Estimates were obtained for all the components of the flexoelectric tensor, and calculations based on these indicate that local polarization around defects in SrTiO$_3$ may exceed the largest ferroelectric polarizations. A sign reversal of the flexoelectric response detected below the phase transition suggests that the ferroelastic domain walls of SrTiO$_3$ may be polar.
[ { "version": "v1", "created": "Tue, 29 May 2007 17:36:48 GMT" }, { "version": "v2", "created": "Mon, 22 Oct 2007 14:53:12 GMT" } ]
2007-10-22T00:00:00
[ [ "Zubko", "P.", "" ], [ "Catalan", "G.", "" ], [ "Buckley", "A.", "" ], [ "Welche", "P. R. L.", "" ], [ "Scott", "J. F.", "" ] ]
0705.4255
Rafael Bautista-Mena
Rafael Bautista-Mena
Alice and Bob and Hendrik
6 pages, 1 figure
null
null
null
physics.gen-ph physics.ed-ph
null
This paper offers an alternative approach to discussing both the principle of relativity and the derivation of the Lorentz transformations. This approach uses the idea that there may not be a preferred inertial frame through a privileged access to information about events. In classroom discussions, it has been my experience that this approach produces some lively arguments.
[ { "version": "v1", "created": "Tue, 29 May 2007 17:40:08 GMT" }, { "version": "v2", "created": "Tue, 5 Jun 2007 20:52:34 GMT" } ]
2007-06-13T00:00:00
[ [ "Bautista-Mena", "Rafael", "" ] ]
0705.4256
Derrick Hart
Derrick Hart (University of Missouri - Columbia), Alex Iosevich (University of Missouri - Columbia)
Sums and products in finite fields: an integral geometric viewpoint
null
null
null
null
math.NT math.CA
null
We prove that if $A \subset {\Bbb F}_q$ is such that $$|A|>q^{{1/2}+\frac{1}{2d}},$$ then $${\Bbb F}_q^{*} \subset dA^2=A^2+...+A^2 d \text{times},$$ where $$A^2=\{a \cdot a': a,a' \in A\},$$ and where ${\Bbb F}_q^{*}$ denotes the multiplicative group of the finite field ${\Bbb F}_q$. In particular, we cover ${\Bbb F}_q^{*}$ by $A^2+A^2$ if $|A|>q^{{3/4}}$. Furthermore, we prove that if $$|A| \ge C_{size}^{\frac{1}{d}}q^{{1/2}+\frac{1}{2(2d-1)}},$$ then $$|dA^2| \ge q \cdot \frac{C^2_{size}}{C^2_{size}+1}.$$ Thus $dA^2$ contains a positive proportion of the elements of ${\Bbb F}_q$ under a considerably weaker size assumption.We use the geometry of ${\Bbb F}_q^d$, averages over hyper-planes and orthogonality properties of character sums. In particular, we see that using operators that are smoothing on $L^2$ in the Euclidean setting leads to non-trivial arithmetic consequences in the context of finite fields.
[ { "version": "v1", "created": "Tue, 29 May 2007 17:45:38 GMT" }, { "version": "v2", "created": "Sun, 10 Jun 2007 13:04:04 GMT" }, { "version": "v3", "created": "Fri, 15 Jun 2007 12:42:56 GMT" }, { "version": "v4", "created": "Wed, 27 Jun 2007 14:45:37 GMT" } ]
2007-06-27T00:00:00
[ [ "Hart", "Derrick", "", "University of Missouri - Columbia" ], [ "Iosevich", "Alex", "", "University of Missouri - Columbia" ] ]
0705.4257
Boris Kunyavskii
B. E. Kunyavskii and M. A. Tsfasman
Brauer-Siegel theorem for elliptic surfaces
10 pages
null
null
null
math.AG math.NT
null
We consider higher-dimensional analogues of the classical Brauer-Siegel theorem focusing on the case of abelian varieties over global function fields. We prove such an analogue in the case of constant families of elliptic curves and abelian varieties.
[ { "version": "v1", "created": "Tue, 29 May 2007 17:50:43 GMT" }, { "version": "v2", "created": "Tue, 25 Dec 2007 14:22:20 GMT" } ]
2007-12-25T00:00:00
[ [ "Kunyavskii", "B. E.", "" ], [ "Tsfasman", "M. A.", "" ] ]
0705.4258
Wieslaw Sobk\'ow
S. Ciechanowicz (University of Wroclaw, Poland), W. Sobkow (University of Wroclaw, Poland), M. Misiaszek (Jagiellonian University, Poland)
Decay of polarized muon at rest as a source of polarized neutrino beam
elsart style, 11 pages, 2 eps figures, submitted do publication
Physics Letters B 713, 258 (2012)
10.1016/j.physletb.2012.06.008
null
hep-ph
null
In this paper, we indicate the theoretical possibility of using the decay of polarized muons at rest as a source of the transversely polarized electron antineutrino beam. Such a beam can be used to probe new effects beyond standard model. We mean here new tests concerning CP violation, Lorentz structure and chirality structure of the charged current weak interactions. The main goal is to show how the energy and angular distribution of the electron antineutrinos in the muon rest frame depends on the transverse components of the antineutrino beam polarization. Our analysis is model-independent and consistent with the current upper limits on the non-standard couplings. The results are presented in a limit of infinitesimally small mass for all particles produced in the decay.
[ { "version": "v1", "created": "Tue, 29 May 2007 17:51:27 GMT" } ]
2015-05-13T00:00:00
[ [ "Ciechanowicz", "S.", "", "University of Wroclaw, Poland" ], [ "Sobkow", "W.", "", "University\n of Wroclaw, Poland" ], [ "Misiaszek", "M.", "", "Jagiellonian University, Poland" ] ]
0705.4259
Dominic van der Zypen
Michael E. Adams, Dominic van der Zypen
Representable posets and their order components
06D50
null
null
null
math.LO
null
A partially ordered set P is representable if there is a bounded distributive lattice such that its ordered set of prime ideals is order-isomorphic to P. We show that if the order components of a poset P are representable, then so is P. Moreover, we provide an example disproving the converse.
[ { "version": "v1", "created": "Tue, 29 May 2007 17:53:18 GMT" } ]
2007-05-30T00:00:00
[ [ "Adams", "Michael E.", "" ], [ "van der Zypen", "Dominic", "" ] ]
0705.4260
Ian Appelbaum
Biqin Huang (1), Douwe J. Monsma (2), Ian Appelbaum (1) ((1) University of Delaware, (2) Cambridge NanoTech Inc.)
Experimental realization of a silicon spin field-effect transistor
null
Appl. Phys. Lett. 91, 072501 (2007)
10.1063/1.2770656
null
cond-mat.mtrl-sci cond-mat.other
null
A longitudinal electric field is used to control the transit time (through an undoped silicon vertical channel) of spin-polarized electrons precessing in a perpendicular magnetic field. Since an applied voltage determines the final spin direction at the spin detector and hence the output collector current, this comprises a spin field-effect transistor. An improved hot-electron spin injector providing ~115% magnetocurrent, corresponding to at least ~38% electron current spin polarization after transport through 10 microns undoped single-crystal silicon, is used for maximum current modulation.
[ { "version": "v1", "created": "Tue, 29 May 2007 18:09:18 GMT" } ]
2009-11-13T00:00:00
[ [ "Huang", "Biqin", "" ], [ "Monsma", "Douwe J.", "" ], [ "Appelbaum", "Ian", "" ] ]
0705.4261
- Departement Mathematiques Orsay
Jean-Pierre Kahane (LM-Orsay), Yitzhak Katznelson (U STANFORD)
Entiers al\'eatoires, ensembles de Sidon, densit\'e dans le groupe de Bohr et ensembles d'analyticit\'e
null
null
null
null
math.CA math.PR
null
We study properties of a sequence $\Lambda$ obtained by a randomselection of integers $n$, where $n\in\Lambda$ with probability $\varpi_{n}$, independently of the other choices. We distinguish two cases : if $\limsup_{n\to\infty}n\varpi_{n}<\infty$, $\Lambda$ is a.s. a Sidon set, non-dense in the Bohr group ; if $\lim_{n\to\infty}n\varpi_{n}=\infty$, then $\Lambda$ is a.s. a set of analyticity and is dense in the Bohr group.
[ { "version": "v1", "created": "Tue, 29 May 2007 17:59:38 GMT" } ]
2007-05-30T00:00:00
[ [ "Kahane", "Jean-Pierre", "", "LM-Orsay" ], [ "Katznelson", "Yitzhak", "", "U STANFORD" ] ]
0705.4262
Frank H. Lutz
Frank H. Lutz and G\"unter M. Ziegler
A Small Polyhedral Z-Acyclic 2-Complex in R4
3 pages, 3 figures, submitted to Electronic Geometry Models
null
null
null
math.MG math.AG
null
We present a small 4-dimensional polyhedral realization of a 2-dimensional Z-acyclic but non-contractible simplicial complex.
[ { "version": "v1", "created": "Tue, 29 May 2007 18:18:17 GMT" } ]
2007-05-30T00:00:00
[ [ "Lutz", "Frank H.", "" ], [ "Ziegler", "Günter M.", "" ] ]
0705.4263
Erin Wells Bonning
E. W. Bonning (Observatoire de Paris-Meudon), G. A. Shields (University of Texas at Austin), S. Salviander (University of Texas at Austin)
Recoiling Black Holes in Quasars
4 pages, 4 figures, uses emulateapj, Submitted to ApJ Letters
Astrophys.J.666:L13-L16,2007
10.1086/521674
null
astro-ph
null
Recent simulations of merging black holes with spin give recoil velocities from gravitational radiation up to several thousand km/s. A recoiling supermassive black hole can retain the inner part of its accretion disk, providing fuel for a continuing QSO phase lasting millions of years as the hole moves away from the galactic nucleus. One possible observational manifestation of a recoiling accretion disk is in QSO emission lines shifted in velocity from the host galaxy. We have examined QSOs from the Sloan Digital Sky Survey with broad emission lines substantially shifted relative to the narrow lines. We find no convincing evidence for recoiling black holes carrying accretion disks. We place an upper limit on the incidence of recoiling black holes in QSOs of 4% for kicks greater than 500 km/s and 0.35% for kicks greater than 1000 km/s line-of-sight velocity.
[ { "version": "v1", "created": "Tue, 29 May 2007 18:08:42 GMT" } ]
2011-03-28T00:00:00
[ [ "Bonning", "E. W.", "", "Observatoire de Paris-Meudon" ], [ "Shields", "G. A.", "", "University of Texas at Austin" ], [ "Salviander", "S.", "", "University of Texas at\n Austin" ] ]
0705.4264
Antonio Pich
Antonio Pich
The Standard Model of Electroweak Interactions
Updated version of the lectures given at the 2006 European School of High Energy Physics (Aronsborg, Sweden, 18 June - 1 July 2006) and at the 4th CERN - CLAF School of High Energy Physics (Vina del Mar, Chile, 18 February - 3 March 2007). 50 pages, 36 figures
null
null
IFIC/07-27, FTUV/07-0529
hep-ph hep-ex
null
Gauge invariance is a powerful tool to determine the dynamics of the electroweak and strong forces. The particle content, structure and symmetries of the Standard Model Lagrangian are discussed. Special emphasis is given to the many phenomenological tests which have established this theoretical framework as the Standard Theory of electroweak interactions.
[ { "version": "v1", "created": "Tue, 29 May 2007 18:09:11 GMT" } ]
2007-06-13T00:00:00
[ [ "Pich", "Antonio", "" ] ]
0705.4265
Lon-Chang Liu
B. G. Giraud and Lon-chang Liu
Retrieving Nuclear Information from Protons Propagating through A Thick Target
29 pages, 13 figures
Phys.Rev.C75:064615,2007
10.1103/PhysRevC.75.064615
LA-UR-07-0113
nucl-th
null
The multiple scattering of high-energy particles in a thick target is fromulated in an impact parameter representation. A formalism similar but not identical to that of Moliere is obtained. We show that calculations of particle beam broadening due to multiple Coulomb scattering alone can be given in closed form. The focus of this study is on whether or not the broadening of the Coulomb angular distribution prevents the retrieval of nuclear-interaction information from mesauring the angular distributions of charged partiles scattered from a thick target. For this purpose, we study multiple scatterings with both the nuclear and Coulomb interactions included and we do not make a small-angle expansion. Condition for retrieving nuclear infomration from high-energy protons propagating through a block of material are obtained.
[ { "version": "v1", "created": "Tue, 29 May 2007 18:31:27 GMT" } ]
2008-11-26T00:00:00
[ [ "Giraud", "B. G.", "" ], [ "Liu", "Lon-chang", "" ] ]
0705.4266
Alejandro Gangui
Alejandro Gangui
El universo de Einstein: 1905 - annus mirabilis - 2005
Conference proceedings for the year-long program of conferences "El universo de Einstein: 1905 - annus mirabilis - 2005" held in Buenos Aires every Thursday from March to November 2005. Published in Spanish by Editorial EUDEBA 2007. Some of the conferences are also available at http://www.universoeinstein.com.ar/, both in PDF and Audio files
null
null
UEinstein/2007
physics.hist-ph astro-ph hep-th physics.pop-ph
null
Year 2005 was the World Year of Physics, and it was commemorated worldwide as the 100th anniversary of Albert Einstein's legendary works in which the foundations of at least three areas of modern physics were laid: statistical mechanics, quantum mechanics and special relativity. These works turned year 1905 in what deservedly was called the "miraculous year" (annus mirabilis) of Einstein. However, the influence of this great mind was not limited to science. As it is well known, his fingerprint remains engraved in many aspects of our daily life. Because of that, in this work we have tried to cover almost all the subjects in which Einstein was involved during the last century and, of course, try and reveal the future projection his actions will have in this new century that has just begun. Among the subjects covered in the volume one can find the possible connection between Einstein and the artistic vanguard movement, his religiosity, his days in Argentina, the Nobel Prize, the Einstein-Freud correspondence, his pacifism and the nuclear energy, science and politics under the Second Empire and the Weimar Republic, and even a description of his patents and experiments, the studies performed to search for "built-in" features in his brain and the doubts many had regarding whether Einstein was a genius or a crank. Also included are essays on Einstein and Borges, philosophy and relativity, Mach's principle, the relation among science, arts and humanities, and, closer to Einstein's own theoretical research, the twin paradox, chance and quantum mechanics, the arrow of time, gravitational lenses, string theory, holography and black holes, gravitomagnetism, superconductivity, gravitational waves, the photoelectric effect and the alternative theories for gravitation.
[ { "version": "v1", "created": "Tue, 29 May 2007 18:32:35 GMT" }, { "version": "v2", "created": "Mon, 18 Jun 2007 21:00:11 GMT" } ]
2007-06-19T00:00:00
[ [ "Gangui", "Alejandro", "" ] ]
0705.4267
Alexei Semikhatov
AM Semikhatov (Lebedev Physics Institute)
Factorizable ribbon quantum groups in logarithmic conformal field theories
27pp., amsart++, xy. v2: references added, some other minor additions
Theor.Math.Phys.154:433-453,2008
10.1007/s11232-008-0037-4
null
hep-th math.QA
null
We review the properties of quantum groups occurring as Kazhdan--Lusztig dual to logarithmic conformal field theory models. These quantum groups at even roots of unity are not quasitriangular but are factorizable and have a ribbon structure; the modular group representation on their center coincides with the representation on generalized characters of the chiral algebra in logarithmic conformal field models.
[ { "version": "v1", "created": "Tue, 29 May 2007 19:17:20 GMT" }, { "version": "v2", "created": "Tue, 19 Jun 2007 17:01:25 GMT" } ]
2008-11-26T00:00:00
[ [ "Semikhatov", "AM", "", "Lebedev Physics Institute" ] ]
0705.4268
Sarah Livia Zerbes
Sarah Livia Zerbes
Higher exponential maps and explicit reciprocity laws I
Withdrawn as it is superseded by arXiv:0806.2122.
null
null
null
math.NT
null
This paper has been withdrawn, as it is superseded by arXiv:0806.2122 (Bloch-Kato exponential maps for local fields with imperfect residue fields), which is a more recent version of the same paper.
[ { "version": "v1", "created": "Tue, 29 May 2007 18:33:39 GMT" }, { "version": "v2", "created": "Sun, 17 Feb 2008 12:58:58 GMT" }, { "version": "v3", "created": "Mon, 3 May 2010 20:16:05 GMT" }, { "version": "v4", "created": "Wed, 5 May 2010 12:18:29 GMT" } ]
2010-05-06T00:00:00
[ [ "Zerbes", "Sarah Livia", "" ] ]
0705.4269
Sarah Livia Zerbes
Sarah Livia Zerbes
The higher Hilbert pairing via (phi,G)-modules
23 pages
null
null
null
math.NT
null
We prove the Tate duality for higher dimensional local fields of mixed characteristic (0,p), when p is an odd prime, using the theory of higher fields of norms. Assuming that p is not ramified in the basefield, we then use this construction to define the higher Hilbert pairing. In particular, we show that the Hilbert pairing is non-degenerate, and we re-discover the formulae of Brueckner and Vostokov.
[ { "version": "v1", "created": "Tue, 29 May 2007 18:39:13 GMT" } ]
2007-05-30T00:00:00
[ [ "Zerbes", "Sarah Livia", "" ] ]
0705.4270
Dominic van der Zypen
Dominic van der Zypen
Order convergence and compactness
3 pages
null
null
null
math.LO
null
Let $(P,\leq)$ be a partially ordered set and let $\tau$ be a compact topology on $P$ that is finer than the interval topology. Then $\tau$ is contained in the order (convergence) topology on $(P,\tau)$. So any Priestley topology is contained in the order topology.
[ { "version": "v1", "created": "Tue, 29 May 2007 18:40:54 GMT" }, { "version": "v2", "created": "Wed, 30 May 2007 16:14:09 GMT" } ]
2007-06-13T00:00:00
[ [ "van der Zypen", "Dominic", "" ] ]
0705.4271
Mark Demers
Henk Bruin, Mark Demers, Ian Melbourne
Existence and convergence properties of physical measures for certain dynamical systems with holes
44 pages. Major addition: this paper now treats Collet-Eckmann maps with singularities
Ergodic Theory Dyn. Syst. 30 (2010) 687-728
null
null
math.DS math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study two classes of dynamical systems with holes: expanding maps of the interval and Collet-Eckmann maps with singularities. In both cases, we prove that there is a natural absolutely continuous conditionally invariant measure $\mu$ (a.c.c.i.m.) with the physical property that strictly positive H\"{o}lder continuous functions converge to the density of $\mu$ under the renormalized dynamics of the system. In addition, we construct an invariant measure $\nu$, supported on the Cantor set of points that never escape from the system, that is ergodic and enjoys exponential decay of correlations for H\"{o}lder observables. We show that $\nu$ satisfies an equilibrium principle which implies that the escape rate formula, familiar to the thermodynamic formalism, holds outside the usual setting. In particular, it holds for Collet-Eckmann maps with holes, which are not uniformly hyperbolic and do not admit a finite Markov partition. We use a general framework of Young towers with holes and first prove results about the \accim and the invariant measure on the tower. Then we show how to transfer results to the original dynamical system. This approach can be expected to generalize to other dynamical systems than the two above classes.
[ { "version": "v1", "created": "Tue, 29 May 2007 18:42:04 GMT" }, { "version": "v2", "created": "Wed, 24 Sep 2008 13:38:42 GMT" } ]
2014-12-09T00:00:00
[ [ "Bruin", "Henk", "" ], [ "Demers", "Mark", "" ], [ "Melbourne", "Ian", "" ] ]
0705.4272
S. A. Belbas
S. A. Belbas
Optimal control of Goursat-Volterra systems
71 pages
null
null
null
math.OC math.CA
null
We analyze an optimal control problem for systems of integral equations of Volterra type with two independent variables. These systems generalize both, the hyperbolic control problems for systems of Goursat-Darboux type, and the optimal control of ordinary (i.e. with one independent variable) Volterra integral equations. We prove extremal principles akin to Pontryagin's maximum principle.
[ { "version": "v1", "created": "Tue, 29 May 2007 18:53:48 GMT" } ]
2007-05-30T00:00:00
[ [ "Belbas", "S. A.", "" ] ]
0705.4273
Svetlana Jorstad
Svetlana G. Jorstad, Alan P. Marscher, Jason A. Stevens, Paul S. Smith, James R. Forster, Walter K. Gear, Timothy V. Cawthorne, Matthew L. Lister, Alastair M. Stirling, Jos\'e L. G\'omez, Jane S. Greaves, and E. Ian Robson
Multiwaveband Polarimetric Observations of 15 Active Galactic Nuclei at High Frequencies: Correlated Polarization Behavior
63 pages, 17 figures, 13 tables, in press AJ
Astron.J.134:799-824,2007
10.1086/519996
null
astro-ph
null
We report on multi-frequency linear polarization monitoring of 15 active galactic nuclei containing highly relativistic jets with apparent speeds from $\sim$4 $c$ to $>40c$. The measurements were obtained at optical, 1 mm, and 3 mm wavelengths, and at 7 mm with the Very Long Baseline Array. The data show a wide range in degree of linear polarization among the sources, from $<$1% to $>$30%, and interday polarization variability in individual sources. The polarization properties suggest separation of the sample into three groups with low, intermediate, and high variability of polarization in the core at 7 mm : LVP, IVP, and HVP, respectively. The groups are partially associated with the common classification of active galactic nuclei as radio galaxies and quasars with low optical polarization (LVP), BL Lacertae objects (IVP), and highly optically polarized quasars (HVP). Our study investigates correlations between total flux, fractional polarization, and polarization position angle at the different wavelengths. We interpret the polarization properties of the sources in the sample through models in which weak shocks compress turbulent plasma in the jet. The differences in the orientation of sources with respect to the observer, jet kinematics, and abundance of thermal matter external to the jet near the core can account for the diversity in the polarization properties. The results provide strong evidence that the optical polarized emission originates in shocks, most likely situated between the 3 mm and 7 mm VLBI cores. They also support the idea that the 1 mm core lies at the edge of the transition zone between electromagnetically dominated and turbulent hydrodynamical sections of the jet.
[ { "version": "v1", "created": "Tue, 29 May 2007 18:55:47 GMT" } ]
2009-06-23T00:00:00
[ [ "Jorstad", "Svetlana G.", "" ], [ "Marscher", "Alan P.", "" ], [ "Stevens", "Jason A.", "" ], [ "Smith", "Paul S.", "" ], [ "Forster", "James R.", "" ], [ "Gear", "Walter K.", "" ], [ "Cawthorne", "Timothy V.", "" ], [ "Lister", "Matthew L.", "" ], [ "Stirling", "Alastair M.", "" ], [ "Gómez", "José L.", "" ], [ "Greaves", "Jane S.", "" ], [ "Robson", "E. Ian", "" ] ]
0705.4274
Brian Thomas
Brian C. Thomas (Washburn Univ.), Adrian L. Melott (Univ. of Kansas), Brian D. Fields (Univ. of Illinois), and Barbara J. Anthony-Twarog (Univ. of Kansas)
Superluminous supernovae: No threat from Eta Carinae
19 pages, 2 figures; Revised version as accepted for publication in Astrobiology
Astrobiology. February 1, 2008, 8(1): 9-16.
10.1089/ast.2007.0181
null
astro-ph physics.ao-ph q-bio.PE
null
Recently Supernova 2006gy was noted as the most luminous ever recorded, with a total radiated energy of ~10^44 Joules. It was proposed that the progenitor may have been a massive evolved star similar to eta Carinae, which resides in our own galaxy at a distance of about 2.3 kpc. eta Carinae appears ready to detonate. Although it is too distant to pose a serious threat as a normal supernova, and given its rotation axis is unlikely to produce a Gamma-Ray Burst oriented toward the Earth, eta Carinae is about 30,000 times nearer than 2006gy, and we re-evaluate it as a potential superluminous supernova. We find that given the large ratio of emission in the optical to the X-ray, atmospheric effects are negligible. Ionization of the atmosphere and concomitant ozone depletion are unlikely to be important. Any cosmic ray effects should be spread out over ~10^4 y, and similarly unlikely to produce any serious perturbation to the biosphere. We also discuss a new possible effect of supernovae, endocrine disruption induced by blue light near the peak of the optical spectrum. This is a possibility for nearby supernovae at distances too large to be considered "dangerous" for other reasons. However, due to reddening and extinction by the interstellar medium, eta Carinae is unlikely to trigger such effects to any significant degree.
[ { "version": "v1", "created": "Tue, 29 May 2007 18:56:18 GMT" }, { "version": "v2", "created": "Tue, 25 Sep 2007 03:46:36 GMT" } ]
2008-02-23T00:00:00
[ [ "Thomas", "Brian C.", "", "Washburn Univ." ], [ "Melott", "Adrian L.", "", "Univ. of Kansas" ], [ "Fields", "Brian D.", "", "Univ. of Illinois" ], [ "Anthony-Twarog", "Barbara J.", "", "Univ. of\n Kansas" ] ]
0705.4275
Kaushik Bhattacharya
Kaushik Bhattacharya
Solution of the Dirac equation in presence of an uniform magnetic field
16 pages latex file. Some errors corrected and some new material added
null
null
null
hep-th astro-ph quant-ph
null
In this work we discuss the properties of the solutions of the Dirac equation in presence of an uniform background magnetic field. In particular we focus on the nature of the solutions, their ortho-normality properties and how these solutions depend on the choice of the vector potential giving rise to the magnetic field. We explicitly calculate the spin-sum of the solutions and using it we calculate the propagator of the electron in presence of an uniform background magnetic field.
[ { "version": "v1", "created": "Tue, 29 May 2007 19:10:01 GMT" }, { "version": "v2", "created": "Mon, 13 Aug 2007 22:45:44 GMT" } ]
2007-08-14T00:00:00
[ [ "Bhattacharya", "Kaushik", "" ] ]
0705.4276
Pamela Morehouse
M. Artuso, et al, CLEO Collaboration
Evidence for the Decay D^0 --> K^_pi^+pi^-e^+nu_e
9 pages postscript,also available through http://www.lns.cornell.edu/public/CLNS/2007/, submitted to PRL
Phys.Rev.Lett.99:191801,2007
10.1103/PhysRevLett.99.191801
CLNS 07/1994, CLEO 07-4
hep-ex
null
Using a 281 pb^{-1} data sample collected at the psi(3770) with the CLEO-c detector, we present the first absolute branching fraction measurement of the decay D^0 rightarrow K^-pi^+pi^-e^+nu_e at a statistical significance of about 4.0 standard deviations. We find 10 candidates consistent with the decay D^0 rightarrow K^-pi^+pi^- e^+nu_e. The probability that a background fluctuation accounts for this signal is less than 4.1 times 10^{-5}. We find {cal B}(D^0 rightarrow K^-pi^+pi^-e^+nu_e)= [2.8 ^{+1.4}_{-1.1}{rm (stat)} pm 0.3{rm (syst)}] times 10 ^{-4}. This channel is consistent with being predominantly produced through D^0 rightarrow K1^- e^+nu_e. By restricting the invariant mass of the hadronic system to be consistent with K1, we obtain the product of branching fractions {cal B}(D^0 rightarrow K1^- e^+nu_e)cdot{\cal B}(K1 to K^-pi^+pi^-)=[2.5^{+1.3}_{-1.0}{rm(stat)} pm 0.2 {rm (syst)}]times 10^{-4}. Using {cal B}(K1 to K^-pi^+pi^-) = (33 pm 3) %, we obtain {cal B}(D^0 to K1^-e^+nu_e)=[7.6^{+4.1}_{-3.0}{rm (stat)} pm 0.6{rm (syst)}pm 0.7 ]times 10^{-4}. The last error accounts for the uncertainties in the measured konem to K^-pi^+pi^- branching fraction.
[ { "version": "v1", "created": "Tue, 29 May 2007 19:23:58 GMT" } ]
2010-04-08T00:00:00
[ [ "Artuso", "M.", "" ], [ "Collaboration", "CLEO", "" ] ]
0705.4277
Nico Spronk
Brian E. Forrest, Ebrahim Samei, Nico Spronk
Convolutions on compact groups and Fourier algebras of coset spaces
26 pages. Some typos corrected, some new results on spectral sets added
null
null
null
math.FA
null
In this note we study two related questions. (1) For a compact group G, what are the ranges of the convolution maps on A(GXG) given for u,v in A(G) by $u X v |-> u*v' ($v'(s)=v(s^{-1})$) and $u X v |-> u*v$? (2) For a locally compact group G and a compact subgroup K, what are the amenability properties of the Fourier algebra of the coset space A(G/K)? The algebra A(G/K) was defined and studied by the first named author. In answering the first question, we obtain for compact groups which do not admit an abelian subgroup of finite index, some new subalgebras of A(G). Using those algebras we can find many instances in which A(G/K) fails the most rudimentary amenability property: operator weak amenability. However, using different techniques, we show that if the connected component of the identity of G is abelian, then A(G/K) always satisfies the stronger property that it is hyper-Tauberian, which is a concept developed by the second named author. We also establish a criterion which characterises operator amenability of A(G/K) for a class of groups which includes the maximally almost periodic groups.
[ { "version": "v1", "created": "Tue, 29 May 2007 19:24:21 GMT" }, { "version": "v2", "created": "Fri, 23 May 2008 18:33:15 GMT" } ]
2008-05-23T00:00:00
[ [ "Forrest", "Brian E.", "" ], [ "Samei", "Ebrahim", "" ], [ "Spronk", "Nico", "" ] ]
0705.4278
Ra\'ul Labb\'e
R. Labb\'e
Optimal estimate of probability density functions from experimental data
3 pages, 2 figures
null
null
null
physics.data-an
null
A method providing optimal estimate of probability density functions (PDFs) from time series is proposed. It allows almost arbitrary resolution PDFs when applied to either, sampled analytic functions or digitized data from experiments. When results are compared with PDFs of the same data calculated using the standard histogram method, a remarkable improvement is observed, especially in far lateral regions of the PDF, where low probability events give poor statistics.
[ { "version": "v1", "created": "Tue, 29 May 2007 19:29:13 GMT" } ]
2007-05-30T00:00:00
[ [ "Labbé", "R.", "" ] ]
0705.4279
Nico Spronk
Mahya Ghandehari (Waterloo), Hamed Hatami (Toronto), Nico Spronk (Waterloo)
Amenability constants for semilattice algebras
18 pages. Results generalised to non-unital semilattices. Some errors corrected
null
null
null
math.FA
null
For any finite unital commutative idempotent semigroup S, a unital semilattice, we show how to compute the amenability constant of its semigroup algebra l^1(S), which is always of the form 4n+1. We then show that these give lower bounds to amenability constants of certain Banach algebras graded over semilattices. We show that there is no commutative semilattice with amenability constant between 5 and 9.
[ { "version": "v1", "created": "Tue, 29 May 2007 19:30:25 GMT" }, { "version": "v2", "created": "Fri, 31 Aug 2007 18:53:23 GMT" } ]
2011-11-10T00:00:00
[ [ "Ghandehari", "Mahya", "", "Waterloo" ], [ "Hatami", "Hamed", "", "Toronto" ], [ "Spronk", "Nico", "", "Waterloo" ] ]
0705.4280
Dmitri Kharzeev
D. Kharzeev and K. Tuchin
Bulk viscosity of QCD matter near the critical temperature
8 pages, 1 figure
JHEP0809:093,2008
10.1088/1126-6708/2008/09/093
BNL/NT-07/23, RBRC-681
hep-ph hep-lat nucl-ex nucl-th
null
Kubo's formula relates bulk viscosity to the retarded Green's function of the trace of the energy-momentum tensor. Using low energy theorems of QCD for the latter we derive the formula which relates the bulk viscosity to the energy density and pressure of hot matter. We then employ the available lattice QCD data to extract the bulk viscosity as a function of temperature. We find that close to the deconfinement temperature bulk viscosity becomes large, with viscosity-to-entropy ratio zeta/s about 1.
[ { "version": "v1", "created": "Tue, 29 May 2007 19:34:29 GMT" }, { "version": "v2", "created": "Tue, 29 May 2007 20:38:51 GMT" } ]
2008-11-26T00:00:00
[ [ "Kharzeev", "D.", "" ], [ "Tuchin", "K.", "" ] ]
0705.4281
Robert Brownlee
R. A. Brownlee, W. A. Light
Approximation orders for interpolation by surface splines to rough functions
18 pages
IMA J. Numer. Anal., 24(2):179-192, 2004
null
MA-04-11, University of Leicester, UK
math.NA
null
In this paper we consider the approximation of functions by radial basis function interpolants. There is a plethora of results about the asymptotic behaviour of the error between appropriately smooth functions and their interpolants, as the interpolation points fill out a bounded domain in R^d. In all of these cases, the analysis takes place in a natural function space dictated by the choice of radial basis function - the native space. In many cases, the native space contains functions possessing a certain amount of smoothness. We address the question of what can be said about these error estimates when the function being interpolated fails to have the required smoothness. These are the rough functions of the title. We limit our discussion to surface splines, as an exemplar of a wider class of radial basis functions, because we feel our techniques are most easily seen and understood in this setting.
[ { "version": "v1", "created": "Wed, 30 May 2007 16:37:55 GMT" } ]
2007-12-02T00:00:00
[ [ "Brownlee", "R. A.", "" ], [ "Light", "W. A.", "" ] ]
0705.4282
David Poulin
Robin Blume-Kohout, Hui Khoon Ng, David Poulin, and Lorenza Viola
The structure of preserved information in quantum processes
null
Phys. Rev. Lett. 100 030501 (2008)
10.1103/PhysRevLett.100.030501
null
quant-ph
null
We introduce a general operational characterization of information-preserving structures (IPS) -- encompassing noiseless subsystems, decoherence-free subspaces, pointer bases, and error-correcting codes -- by demonstrating that they are isometric to fixed points of unital quantum processes. Using this, we show that every IPS is a matrix algebra. We further establish a structure theorem for the fixed states and observables of an arbitrary process, which unifies the Schrodinger and Heisenberg pictures, places restrictions on physically allowed kinds of information, and provides an efficient algorithm for finding all noiseless and unitarily noiseless subsystems of the process.
[ { "version": "v1", "created": "Wed, 30 May 2007 16:37:50 GMT" }, { "version": "v2", "created": "Fri, 12 Oct 2007 16:49:37 GMT" } ]
2009-11-13T00:00:00
[ [ "Blume-Kohout", "Robin", "" ], [ "Ng", "Hui Khoon", "" ], [ "Poulin", "David", "" ], [ "Viola", "Lorenza", "" ] ]
0705.4283
Danilo Marchesini
Danilo Marchesini, Pieter van Dokkum (Yale University)
Assessing the Predictive Power of Galaxy Formation Models: A Comparison of Predicted and Observed Rest-Frame Optical Luminosity Functions at 2.0<z<3.3
4 pages, 3 figures. Accepted for publication in the Astrophysical Journal Letters. Minor corrections to match published version
Astrophys. J. 663 (2007) L89-L92
10.1086/520084
null
astro-ph
null
Recent galaxy formation models successfully reproduce the local luminosity function (LF) of galaxies by invoking mechanisms to suppress star formation in low- and high-mass galaxies. As these models are optimized to fit the LF at low redshift, a crucial question is how well they predict the LF at earlier times. Here we compare recently measured rest-frame V-band LFs of galaxies at redshifts 2.0<z<3.3 to predictions of semianalytic models by De Lucia & Blaizot and Bower et al. and hydrodynamic simulations by Dave et al.. The models succeed for some luminosity and redshift ranges and fail for others. A notable success is that the Bower et al. model provides a good match to the observed LF at z~3. However, all models predict an increase with time of the rest-frame V-band luminosity density, whereas the observations show a decrease. The models also have difficulty matching the observed rest-frame colors of galaxies. In all models the luminosity density of red galaxies increases sharply from z~3 to z~2.2, whereas it is approximately constant in the observations. Conversely, in the models the luminosity density of blue galaxies is approximately constant, whereas it decreases in the observations. These discrepancies cannot be entirely remedied by changing the treatment of dust and suggest that current models do not yet provide a complete description of galaxy formation and evolution since z~3.
[ { "version": "v1", "created": "Tue, 29 May 2007 20:00:05 GMT" }, { "version": "v2", "created": "Mon, 7 Jan 2008 15:16:59 GMT" } ]
2008-01-07T00:00:00
[ [ "Marchesini", "Danilo", "", "Yale University" ], [ "van Dokkum", "Pieter", "", "Yale University" ] ]
0705.4284
Yutaka Fujita
Yutaka Fujita (Osaka), Kazunori Kohri (Lancaster), Ryo Yamazaki (Hiroshima), and Motoki Kino (JAXA)
Nonthermal Emission Associated with Strong AGN Outbursts at the Centers of Galaxy Clusters
Accepted for publication in ApJL
Astrophys.J.663:L61-L64,2007
10.1086/520337
null
astro-ph
null
Recently, strong AGN outbursts at the centers of galaxy clusters have been found. Using a simple model, we study particle acceleration around a shock excited by an outburst and estimate nonthermal emission from the accelerated particles. We show that emission from secondary electrons is consistent with the radio observations of the minihalo in the Perseus cluster, if there was a strong AGN outburst >~10^8 yrs ago with an energy of ~1.8x10^62 erg. The validity of our model depends on the frequency of the large outbursts. We also estimate gamma-ray emission from the accelerated particles and show that it could be detected with GLAST.
[ { "version": "v1", "created": "Tue, 29 May 2007 20:00:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Fujita", "Yutaka", "", "Osaka" ], [ "Kohri", "Kazunori", "", "Lancaster" ], [ "Yamazaki", "Ryo", "", "Hiroshima" ], [ "Kino", "Motoki", "", "JAXA" ] ]
0705.4285
Daniel Fabrycky
Daniel Fabrycky and Scott Tremaine
Shrinking binary and planetary orbits by Kozai cycles with tidal friction
Submitted to ApJ; 18 pages, 10 figures
Astrophys.J.669:1298-1315,2007
10.1086/521702
null
astro-ph
null
At least two arguments suggest that the orbits of a large fraction of binary stars and extrasolar planets shrank by 1-2 orders of magnitude after formation: (i) the physical radius of a star shrinks by a large factor from birth to the main sequence, yet many main-sequence stars have companions orbiting only a few stellar radii away, and (ii) in current theories of planet formation, the region within ~0.1 AU of a protostar is too hot and rarefied for a Jupiter-mass planet to form, yet many "hot Jupiters" are observed at such distances. We investigate orbital shrinkage by the combined effects of secular perturbations from a distant companion star (Kozai oscillations) and tidal friction. We integrate the relevant equations of motion to predict the distribution of orbital elements produced by this process. Binary stars with orbital periods of 0.1 to 10 days, with a median of ~2 d, are produced from binaries with much longer periods (10 d to 10^5 d), consistent with observations indicating that most or all short-period binaries have distant companions (tertiaries). We also make two new testable predictions: (1) For periods between 3 and 10 d, the distribution of the mutual inclination between the inner binary and the tertiary orbit should peak strongly near 40 deg and 140 deg. (2) Extrasolar planets whose host stars have a distant binary companion may also undergo this process, in which case the orbit of the resulting hot Jupiter will typically be misaligned with the equator of its host star.
[ { "version": "v1", "created": "Wed, 30 May 2007 19:18:33 GMT" } ]
2011-03-04T00:00:00
[ [ "Fabrycky", "Daniel", "" ], [ "Tremaine", "Scott", "" ] ]
0705.4286
Dominic van der Zypen
Dominic van der Zypen
Remarks on affine complete distributive lattices
7 pages
null
null
null
math.LO
null
We characterise the Priestley spaces corresponding to affine complete bounded distributive lattices. Moreover we prove that the class of affine complete bounded distributive lattices is closed under products and free products. We show that every (not necessarily bounded) distributive lattice can be embedded in an affine complete one and that $\mathbb{Q} \cap [0,1]$ is initial in the class of affine complete lattices.
[ { "version": "v1", "created": "Tue, 29 May 2007 20:03:33 GMT" } ]
2007-05-31T00:00:00
[ [ "van der Zypen", "Dominic", "" ] ]
0705.4287
Bart Willems
B. Willems (1), V. Kalogera (1), A. Vecchio (1,2), N. Ivanova (3), F.A. Rasio (1), J.M. Fregeau (1), K. Belczynski (4) ((1) Northwestern U., (2) U. of Birmingham, (3) U. of Toronto, (4) New Mexico State U.)
Eccentric double white dwarfs as LISA sources in globular clusters
Published in ApJ 665, L59
null
10.1086/521049
null
astro-ph gr-qc
null
We consider the formation of double white dwarfs (DWDs) through dynamical interactions in globular clusters. Such interactions can give rise to eccentric DWDs, in contrast to the exclusively circular population expected to form in the Galactic disk. We show that for a 5-year Laser Interferometer Space Antenna (LISA) mission and distances as far as the Large Magellanic Cloud, multiple harmonics from eccentric DWDs can be detected at a signal-to-noise ratio higher than 8 for at least a handful of eccentric DWDs, given their formation rate and typical lifetimes estimated from current cluster simulations. Consequently the association of eccentricity with stellar-mass LISA sources does not uniquely involve neutron stars, as is usually assumed. Due to the difficulty of detecting (eccentric) DWDs with present and planned electromagnetic observatories, LISA could provide unique dynamical identifications of these systems in globular clusters.
[ { "version": "v1", "created": "Tue, 29 May 2007 20:06:52 GMT" }, { "version": "v2", "created": "Mon, 18 Jun 2007 17:46:07 GMT" }, { "version": "v3", "created": "Thu, 17 Jan 2008 18:48:04 GMT" } ]
2009-11-13T00:00:00
[ [ "Willems", "B.", "" ], [ "Kalogera", "V.", "" ], [ "Vecchio", "A.", "" ], [ "Ivanova", "N.", "" ], [ "Rasio", "F. A.", "" ], [ "Fregeau", "J. M.", "" ], [ "Belczynski", "K.", "" ] ]
0705.4288
Heather Knutson
Heather A. Knutson, David Charbonneau, Drake Deming, and L. Jeremy Richardson
A Ground-Based Search for Thermal Emission from the Exoplanet TrES-1
10 pages, 1 table, four figures, accepted for publication in PASP
null
10.1086/520098
null
astro-ph
null
Eclipsing planetary systems give us an important window on extrasolar planet atmospheres. By measuring the depth of the secondary eclipse, when the planet moves behind the star, we can estimate the strength of the thermal emission from the day side of the planet. Attaining a ground-based detection of one of these eclipses has proven to be a significant challenge, as time-dependent variations in instrument throughput and atmospheric seeing and absorption overwhelm the small signal of the eclipse at infrared wavelengths. We gathered a series of simultaneous L grism spectra of the transiting planet system TrES-1 and a nearby comparison star of comparable brightness, allowing us to correct for these effects in principle. Combining the data from two eclipses, we demonstrate a detection sensitivity of 0.15% in the eclipse depth relative to the stellar flux. This approaches the sensitivity required to detect the planetary emission, which theoretical models predict should lie between 0.05-0.1% of the stellar flux in our 2.9-4.3 micron bandpass. We explore the factors that ultimately limit the precision of this technique, and discuss potential avenues for future improvements.
[ { "version": "v1", "created": "Tue, 29 May 2007 20:08:40 GMT" } ]
2009-11-13T00:00:00
[ [ "Knutson", "Heather A.", "" ], [ "Charbonneau", "David", "" ], [ "Deming", "Drake", "" ], [ "Richardson", "L. Jeremy", "" ] ]
0705.4289
Tomasz Magulski
Tomasz Magulski, {\L}ukasz Or{\l}owski
Geometric-Algebra Quantum-Like Algorithms: Simon's Algorithm
11 pages, 6 tables
null
null
null
quant-ph
null
This is continuation of the approach to performing quantum algorithms using geometric structures which was presented by Aerts and Czachor. We solve the Simon's problem which, next to the Shor's alghorithm, is a representative of a quantum hidden subgroup class. We also highlight some advantages resulting from the fact that no quantum mechanics is involved.
[ { "version": "v1", "created": "Tue, 29 May 2007 20:12:49 GMT" } ]
2007-05-31T00:00:00
[ [ "Magulski", "Tomasz", "" ], [ "Orłowski", "Łukasz", "" ] ]
0705.4290
David Lafreni\`ere
David Lafreniere, Rene Doyon, Christian Marois, Daniel Nadeau, Ben R. Oppenheimer, Patrick F. Roche, Francois Rigaut, James R. Graham, Ray Jayawardhana, Doug Johnstone, Paul G. Kalas, Bruce Macintosh and Rene Racine
The Gemini Deep Planet Survey -- GDPS
Accepted for publication in ApJ
null
10.1086/522826
null
astro-ph
null
We present the results of the Gemini Deep Planet Survey, a near-infrared adaptive optics search for giant planets and brown dwarfs around nearby young stars. The observations were obtained with the Altair adaptive optics system at the Gemini North telescope and angular differential imaging was used to suppress the speckle noise of the central star. Detection limits for the 85 stars observed are presented, along with a list of all faint point sources detected around them. Typically, the observations are sensitive to angular separations beyond 0.5" with 5-sigma contrast sensitivities in magnitude difference at 1.6 micron of 9.5 at 0.5", 12.9 at 1", 15.0 at 2", and 16.5 at 5". For the typical target of the survey, a 100 Myr old K0 star located 22 pc from the Sun, the observations are sensitive enough to detect planets more massive than 2 Mjup with a projected separation in the range 40-200 AU. Second epoch observations of 48 stars with candidates (out of 54) have confirmed that all candidates are unrelated background stars. A detailed statistical analysis of the survey results, yielding upper limits on the fractions of stars with giant planet or low mass brown dwarf companions, is presented. Assuming a planet mass distribution dN/dm m^{-1.2} and a semi-major axis distribution dN/da a^{-1}, the 95% credible upper limits on the fraction of stars with at least one planet of mass 0.5-13 Mjup are 0.28 for the range 10-25 AU, 0.13 for 25-50 AU, and 0.093 for 50-250 AU. The 95% credible interval for the fraction of stars with at least one brown dwarf companion having a semi-major axis in the range 25-250 AU is 0.019 (-0.015/+0.083), irrespective of any assumption on the mass and semi-major axis distributions. The stars HD 14802, HD 166181, and HD 213845 have been resolved into binaries for the first time.
[ { "version": "v1", "created": "Tue, 29 May 2007 20:14:44 GMT" }, { "version": "v2", "created": "Thu, 23 Aug 2007 21:18:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Lafreniere", "David", "" ], [ "Doyon", "Rene", "" ], [ "Marois", "Christian", "" ], [ "Nadeau", "Daniel", "" ], [ "Oppenheimer", "Ben R.", "" ], [ "Roche", "Patrick F.", "" ], [ "Rigaut", "Francois", "" ], [ "Graham", "James R.", "" ], [ "Jayawardhana", "Ray", "" ], [ "Johnstone", "Doug", "" ], [ "Kalas", "Paul G.", "" ], [ "Macintosh", "Bruce", "" ], [ "Racine", "Rene", "" ] ]
0705.4291
Kamil Br\'adler
K. Bradler, R. Jauregui
Relativistically covariant state-dependent cloning of photons
corrected, rewritten and accepted in PRA
null
10.1103/PhysRevA.77.042302
null
quant-ph
null
The influence of the relativistic covariance requirement on the optimality of the symmetric state-dependent 1 -> 2 cloning machine is studied. Namely, given a photonic qubit whose basis is formed from the momentum-helicity eigenstates, the change to the optimal cloning fidelity is calculated taking into account the Lorentz covariance unitarily represented by Wigner's little group. To pinpoint some of the interesting results, we found states for which the optimal fidelity of the cloning process drops to 2/3 which corresponds to the fidelity of the optimal classical cloner. Also, an implication for the security of the BB84 protocol is analyzed.
[ { "version": "v1", "created": "Tue, 29 May 2007 20:16:03 GMT" }, { "version": "v2", "created": "Sat, 2 Jun 2007 21:21:28 GMT" }, { "version": "v3", "created": "Wed, 27 Feb 2008 21:54:56 GMT" } ]
2009-11-13T00:00:00
[ [ "Bradler", "K.", "" ], [ "Jauregui", "R.", "" ] ]
0705.4292
Haim Diamant
Hamutal Bary-Soroker and Haim Diamant
Nanoscale surface relaxation of a membrane stack
4 pages
Phys Rev E 76, 042401 (2007)
10.1103/PhysRevE.76.042401
null
cond-mat.soft
null
Recent measurements of the short-wavelength (~ 1--100 nm) fluctuations in stacks of lipid membranes have revealed two distinct relaxations: a fast one (decay rate of ~ 0.1 ns^{-1}), which fits the known baroclinic mode of bulk lamellar phases, and a slower one (~ 1--10 \mu s^{-1}) of unknown origin. We show that the latter is accounted for by an overdamped capillary mode, depending on the surface tension of the stack and its anisotropic viscosity. We thereby demonstrate how the dynamic surface tension of membrane stacks could be extracted from such measurements.
[ { "version": "v1", "created": "Tue, 29 May 2007 20:20:46 GMT" }, { "version": "v2", "created": "Thu, 25 Oct 2007 13:28:18 GMT" } ]
2007-10-25T00:00:00
[ [ "Bary-Soroker", "Hamutal", "" ], [ "Diamant", "Haim", "" ] ]
0705.4293
Mladen Georgiev
Mladen Georgiev and Fabio DeMatteis
Nonradiative DKR processes: revisiting the theory. III. Multimode approaches
16 pages including 3(5) tables, 2 appendices, and 4(5) figures, all pdf format
null
null
null
cond-mat.mtrl-sci cond-mat.other
null
We outline a method for dealing with the relaxation of optically excited NaI F centers in terms of a single effective frequency along a multimode coordinate. The 2s-2p mixing through coupling to a T_{1u} vibrational mode is also discussed with optimistic conclusions. Equilibrium nonradiative deexcitation rates are estimated and compared with intervibrational relaxations so as to assess the efficiency of the nonequilibrium DKR deexcitation. They show the former not to be competitive, due to the large number of phonons exchanged.
[ { "version": "v1", "created": "Tue, 29 May 2007 20:31:21 GMT" } ]
2007-05-31T00:00:00
[ [ "Georgiev", "Mladen", "" ], [ "DeMatteis", "Fabio", "" ] ]
0705.4294
Dmitri Vassilevich
A. V. Strelchenko, D. V. Vassilevich
On space-time noncommutative theories at finite temperature
24 pages, v2: minor changes
Phys.Rev.D76:065014,2007
10.1103/PhysRevD.76.065014
IFUSP-1636/2007
hep-th
null
We analyze renormalization and the high temperature expansion of the one-loop effective action of the space-time noncommutative \phi^4 theory by using the zeta function regularization in the imaginary time formalism (i.e., on S^1 x R^3). Interestingly enough, there are no mixed (non-planar) contributions to the counterterms as well as to the power-law high temperature asymptotics. We also study the Wick rotation and formulate assumptions under which the real and imaginary time formalisms are equivalent.
[ { "version": "v1", "created": "Tue, 29 May 2007 20:32:13 GMT" }, { "version": "v2", "created": "Tue, 5 Jun 2007 20:33:37 GMT" } ]
2008-11-26T00:00:00
[ [ "Strelchenko", "A. V.", "" ], [ "Vassilevich", "D. V.", "" ] ]
0705.4295
Philipp Hagler
Ph. H\"agler, W. Schroers, J. Bratt, R.G. Edwards, M. Engelhardt, G.T. Fleming, B. Musch, J.W. Negele, K. Orginos, A.V. Pochinsky, D.B. Renner, D.G. Richards (LHPC Collaboration)
Nucleon Generalized Parton Distributions from Full Lattice QCD
40 pages, 49 figures; Revised chiral extrapolations in sections A-K, main conclusions unchanged
Phys.Rev.D77:094502,2008
10.1103/PhysRevD.77.094502
DESY 07-077, JLAB-THY-07-651, TUM-T39-07-09
hep-lat hep-ph nucl-th
null
We present a comprehensive study of the lowest moments of nucleon generalized parton distributions in N_f=2+1 lattice QCD using domain wall valence quarks and improved staggered sea quarks. Our investigation includes helicity dependent and independent generalized parton distributions for pion masses as low as 350 MeV and volumes as large as (3.5 fm)^3, for a lattice spacing of 0.124 fm. We use perturbative renormalization at one-loop level with an improvement based on the non-perturbative renormalization factor for the axial vector current, and only connected diagrams are included in the isosinglet channel.
[ { "version": "v1", "created": "Wed, 30 May 2007 16:55:06 GMT" }, { "version": "v2", "created": "Wed, 7 May 2008 13:31:04 GMT" } ]
2015-03-13T00:00:00
[ [ "Hägler", "Ph.", "", "LHPC Collaboration" ], [ "Schroers", "W.", "", "LHPC Collaboration" ], [ "Bratt", "J.", "", "LHPC Collaboration" ], [ "Edwards", "R. G.", "", "LHPC Collaboration" ], [ "Engelhardt", "M.", "", "LHPC Collaboration" ], [ "Fleming", "G. T.", "", "LHPC Collaboration" ], [ "Musch", "B.", "", "LHPC Collaboration" ], [ "Negele", "J. W.", "", "LHPC Collaboration" ], [ "Orginos", "K.", "", "LHPC Collaboration" ], [ "Pochinsky", "A. V.", "", "LHPC Collaboration" ], [ "Renner", "D. B.", "", "LHPC Collaboration" ], [ "Richards", "D. G.", "", "LHPC Collaboration" ] ]
0705.4296
Ragnar Fleischmann
H. Hennig, R. Fleischmann, L. Hufnagel and T. Geisel
Fractal Conductance Fluctuations of Classical Origin
5 pages, 4 figures, to appear in PRE
null
10.1103/PhysRevE.76.015202
null
cond-mat.mes-hall
null
In mesoscopic systems conductance fluctuations are a sensitive probe of electron dynamics and chaotic phenomena. We show that the conductance of a purely classical chaotic system with either fully chaotic or mixed phase space generically exhibits fractal conductance fluctuations unrelated to quantum interference. This might explain the unexpected dependence of the fractal dimension of the conductance curves on the (quantum) phase breaking length observed in experiments on semiconductor quantum dots.
[ { "version": "v1", "created": "Tue, 29 May 2007 21:03:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Hennig", "H.", "" ], [ "Fleischmann", "R.", "" ], [ "Hufnagel", "L.", "" ], [ "Geisel", "T.", "" ] ]
0705.4297
David Milovich
David Milovich
Splitting families and the Noetherian type of $\beta\omega-\omega$
This version accepted for publication by Journal of Symbolic Logic. Fixed typos. Removed Lemma 5.10 due to bug in its proof
Journal of Symbolic Logic 73 (2008), no. 4, 1289--1306
null
null
math.LO math.GN
null
Extending some results of Malykhin, we prove several independence results about base properties of $\beta\omega-\omega$ and its powers, especially the Noetherian type $Nt(\beta\omega-\omega)$, the least $\kappa$ for which $\beta\omega-\omega$ has a base that is $\kappa$-like with respect to containment. For example, $Nt(\beta\omega-\omega)$ is never less than the splitting number, but can consistently be that $\omega_1$, $2^\omega$, $(2^\omega)^+$, or strictly between $\omega_1$ and $2^\omega$. $Nt(\beta\omega-\omega)$ is also consistently less than the additivity of the meager ideal. $Nt(\beta\omega-\omega)$ is closely related to the existence of special kinds of splitting families.
[ { "version": "v1", "created": "Tue, 29 May 2007 21:09:12 GMT" }, { "version": "v2", "created": "Thu, 27 Mar 2008 16:22:26 GMT" } ]
2010-01-05T00:00:00
[ [ "Milovich", "David", "" ] ]