Showing 2008 · cond-mat.stat-mechShow all

31 papers · 2 filters

cond-mat.stat-mech2008★ 147 cited

Large Deviations of the Maximum Eigenvalue for Wishart and Gaussian Random Matrices

Satya N. Majumdar, Massimo Vergassola

We present a simple Coulomb gas method to calculate analytically the probability of rare events where the maximum eigenvalue of a random matrix is much larger than its typical valu…

cond-mat.stat-mech2008★ 53 cited

Casimir manipulations: The orientation dependence of fluctuation-induced forces

T. Emig, N. Graham, R. L. Jaffe +1

The Casimir interaction between two objects, or between an object and a plane, depends on their relative orientations. We make these angular dependences explicit by considering pro…

cond-mat.stat-mech2008★ 24 cited

Statistical Properties of the Final State in One-dimensional Ballistic Aggregation

Satya N. Majumdar, Kirone Mallick, Sanjib Sabhapandit

We investigate the long time behaviour of the one-dimensional ballistic aggregation model that represents a sticky gas of N particles with random initial positions and velocities,…

cond-mat.stat-mech2008★ 8 cited

Equilibrium long-ranged charge correlations at the surface of a conductor coupled to the electromagnetic radiation II

Bernard Jancovici, Ladislav Samaj

Results of a previous article with the same title are retrieved by a different method. A one-component plasma is bounded by a plane surface. The plasma is fully coupled to the elec…

cond-mat.stat-mech2008★ 70 cited

Asymptotic behavior of self-affine processes in semi-infinite domains

Andrea Zoia, Alberto Rosso, Satya N. Majumdar

We propose to model the stochastic dynamics of a polymer passing through a pore (translocation) by means of a fractional Brownian motion, and study its behavior in presence of an a…

cond-mat.stat-mech2008★ 28 cited

Ratchet transport of interacting particles

A. D. Chepelianskii, M. V. Entin, L. I. Magarill +1

We study analytically and numerically the ratchet transport of interacting particles induced by a monochromatic driving in asymmetric two-dimensional structures. The ratchet flow i…

cond-mat.stat-mech2008★ 8 cited

Equation of state for hard sphere fluids with and without Kac tails

E. Trizac, I. Pagonabarraga

In this note, we propose a simple derivation of the one dimensional hard rod equation of state, with and without a Kac tail (appended long range and weak potential). The case of ha…

cond-mat.stat-mech2008★ 28 cited

Overlap Interfaces in Hierarchical Spin-Glass models

Silvio Franz, T Jorg, Giorgio Parisi

We discuss interfaces in spin glasses. We present new theoretical results and a numerical method to characterize overlap interfaces and the stability of the spin-glass phase in ext…

cond-mat.stat-mech2008★ 32 cited

Deformations of the Tracy-Widom distribution

O. Bohigas, J. X. de Carvalho, M. P. Pato

In random matrix theory (RMT), the Tracy-Widom (TW) distribution describes the behavior of the largest eigenvalue. We consider here two models in which TW undergoes transformations…

cond-mat.stat-mech2008★ 5 cited

Sylvester's question and the Random Acceleration Process

H. J. Hilhorst, P. Calka, G. Schehr

Let n points be chosen randomly and independently in the unit disk. "Sylvester's question" concerns the probability p_n that they are the vertices of a convex n-sided polygon. Here…

cond-mat.stat-mech2008★ 76 cited

On the path integral representation for quantum spin models and its application to the quantum cavity method and to Monte Carlo simulations

Florent Krzakala, Alberto Rosso, Guilhem Semerjian +1

The cavity method is a well established technique for solving classical spin models on sparse random graphs (mean-field models with finite connectivity). Laumann et al. [arXiv:0706…

cond-mat.stat-mech2008★ 102 cited

Exact distribution of the maximal height of p vicious walkers

Gregory Schehr, Satya N. Majumdar, Alain Comtet +1

Using path integral techniques, we compute exactly the distribution of the maximal height H_p of p nonintersecting Brownian walkers over a unit time interval in one dimension, both…

cond-mat.stat-mech2008★ 3 cited

Spin glass models with Kac interactions

Silvio Franz

In this paper I will review my work on disordered systems -spin glass model with two body and body interactions- with long but finite interaction range . I will describe t…

cond-mat.stat-mech2008★ 2 cited

Fluctuations in granular gases

A. Barrat, A. Puglisi, E. Trizac +2

A driven granular material, e.g. a vibrated box full of sand, is a stationary system which may be very far from equilibrium. The standard equilibrium statistical mechanics is there…

cond-mat.stat-mech2008★ 18 cited

Non-perturbative renormalization-group approach to lattice models

N. Dupuis, K. Sengupta

The non-perturbative renormalization-group approach is extended to lattice models, considering as an example a theory defined on a -dimensional hypercubic lattice. Within…

cond-mat.stat-mech2008★ 137 cited

Universal Record Statistics of Random Walks and Lévy Flights

Satya N. Majumdar, Robert M. Ziff

It is shown that statistics of records for time series generated by random walks are independent of the details of the jump distribution, as long as the latter is continuous and sy…

cond-mat.stat-mech2008★ 109 cited

Casimir forces between cylinders and plates

Sahand Jamal Rahi, Thorsten Emig, Robert L. Jaffe +1

We study collective interaction effects that result from the change of free quantum electrodynamic field fluctuations by one- and two-dimensional perfect metal structures. The Casi…

cond-mat.stat-mech2008★ 7 cited

Granular Rough Sphere in a Low-Density Thermal Bath

F. Cornu, J. Piasecki

We study the stationary state of a rough granular sphere immersed in a thermal bath composed of point particles. When the center of mass of the sphere is fixed the stationary angul…

cond-mat.stat-mech2008★ 161 cited

Universal cumulants of the current in diffusive systems on a ring

Cécile Appert-Rolland, Bernard Derrida, Vivien Lecomte +1

We calculate exactly the first cumulants of the integrated current and of the activity (which is the total number of changes of configurations) of the symmetric simple exclusion pr…

cond-mat.stat-mech2008★ 12 cited

Breakdown of fluctuation-dissipation relations in granular gases

J. J. Brey, M. I. Garcia de Soria, P. Maynar

A numerical molecular dynamics experiment measuring the two-time correlation function of the transversal velocity field in the homogeneous cooling state of a granular gas is report…

cond-mat.stat-mech2008★ 38 cited

Exhaustive enumeration unveils clustering and freezing in random 3-SAT

John Ardelius, Lenka Zdeborová

We study geometrical properties of the complete set of solutions of the random 3-satisfiability problem. We show that even for moderate system sizes the number of clusters correspo…

cond-mat.stat-mech2008★ 61 cited

Condensation and Extreme Value Statistics

Martin R. Evans, Satya N. Majumdar

We study the factorised steady state of a general class of mass transport models in which mass, a conserved quantity, is transferred stochastically between sites. Condensation in s…

cond-mat.stat-mech2008★ 47 cited

Real Roots of Random Polynomials and Zero Crossing Properties of Diffusion Equation

Gregory Schehr, Satya N. Majumdar

We study various statistical properties of real roots of three different classes of random polynomials which recently attracted a vivid interest in the context of probability theor…

cond-mat.stat-mech2008★ 22 cited

Collisional statistics of the hard-sphere gas

P. Visco, F. van Wijland, E. Trizac

We investigate the probability distribution function of the free flight time and of the number of collisions in a hard sphere gas at equilibrium. At variance with naive expectation…