2001

Victor Martin-Mayor 1, Marc Mézard 2, Giorgio Parisi 3, Paolo Verrocchio 4 Journal of Chemical Physics 114 (2001) 8068-8081 A computation of the dynamical structure factor of topologically disordered systems, where the disorder can be described in terms of euclidean random matrices, is presented. Among others, structural glasses and supercooled liquids belong to that class of systems. The computation describes their relevant spectral […]

Marc Mézard 1, Giorgio Parisi 2 European Physical Journal B 20 (2001) 217-240 So far the problem of a spin glass on a Bethe lattice has been solved only at the replica symmetric level, which is wrong in the spin glass phase. Because of some technical difficulties, attempts at deriving a replica symmetry breaking solution have been confined to

Leboeuf, P., Monastra, A. Proceedings of the XXXVIth Moriond Conference ‘Electronic correlations; from Meso- to Nano-Physics’C. Glattli, T. Martin, and J. Trân Thanh Vân (2001)

Sofian Teber 1, Branko P. Stojkovic 2, Serguei Brazovskii 1, A. R. Bishop 2 Journal of Physics: Condensed Matter 13 (2001) 4015-4031 The 2-fold degeneracy of the ground state of a quasi-one-dimensional system allows it to support topological excitations such as solitons. We study the combined effects of Coulomb interactions and confinement due to interchain coupling on the statistics of such defects. We concentrate on

Olivier C. Martin 1, Rémi Monasson 2, Riccardo Zecchina 3 Theoretical Computer Science 265 (2001) 3-67 Recently, it has been recognized that phase transitions play an important role in the probabilistic analysis of combinatorial optimization problems. However, there are in fact many other relations that lead to close ties between computer science and statistical physics. This review aims at presenting the tools

Gregory Berkolaiko 1, Eugene Bogomolny 2, J.P. Keating 3, 4 Journal of Physics A 34 (2001) 335-350 We derive an exact expression for the two-point correlation function for quantum star graphs in the limit as the number of bonds tends to infinity. This turns out to be identical to the corresponding result for certain Seba billiards in the semiclassical limit. Reasons for

Oriol Bohigas 1, Patricio Leboeuf 1, Juan Mayor Sanchez 2 Foundations of Physics 31 (2001) 489-517 ew aspects of spectral fluctuations of (quantum) chaotic and diffusive systems are considered, namely autocorrelations of the spacing between consecutive levels or spacing autocovariances. They can be viewed as a discretized two point correlation function. Their behavior results from two different contributions. One corresponds to

Jean Desbois 1 European Physical Journal B 24 (2001) 261-266 The spectral determinant of the Schrödinger operator ($ – \Delta + V(x) $) on a graph is computed for general boundary conditions. ($\Delta$ is the Laplacian and $V(x)$ is some potential defined on the graph). Applications to restricted random walks on graphs are discussed. 1. Laboratoire de

Paul Zinn-Justin 1 MSRI Publications 40 (2001) 1 The study of a certain class of matrix integrals can be motivated by their interpretation as counting objects of knot theory such as alternating prime links, tangles or knots. The simplest such model is studied in detail and allows to rederive recent results of Sundberg and Thistlethwaite. The second

Eugene Bogomolny 1, Ulrich Gerland 2, Charles Schmit 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 63 (2001) 036206 We consider the statistical distribution of zeros of random meromorphic functions whose poles are independent random variables. It is demonstrated that correlation functions of these zeros can be computed analytically and explicit calculations are performed for the 2-point correlation function.