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Showing 2009 · cond-mat.stat-mechShow all

29 papers · 2 filters

cond-mat.stat-mech2009★ 124 cited

Random Convex Hulls and Extreme Value Statistics

Satya N. Majumdar, Alain Comtet, Julien Randon-Furling

In this paper we study the statistical properties of convex hulls of random points in a plane chosen according to a given distribution. The points may be chosen independently o…

cond-mat.stat-mech2009★ 48 cited

The Hierarchical Random Energy Model

Michele Castellana, Aurelien Decelle, Silvio Franz +2

We introduce a Random Energy Model on a hierarchical lattice where the interaction strength between variables is a decreasing function of their mutual hierarchical distance, making…

cond-mat.stat-mech2009★ 9 cited

Surface Tension in Kac Glass Models

Elia Zarinelli, Silvio Franz

In this paper we study a distance-dependent surface tension, defined as the free-energy cost to put metastable states at a given distance. This will be done in the framework of a d…

cond-mat.stat-mech2009★ 145 cited

Universal First-passage Properties of Discrete-time Random Walks and Levy Flights on a Line: Statistics of the Global Maximum and Records

Satya N. Majumdar

In these lecture notes I will discuss the universal first-passage properties of a simple correlated discrete-time sequence {x_0=0, x_1,x_2.... x_n} up to n steps where x_i represen…

cond-mat.stat-mech2009★ 3 cited

Statistical field theory for liquid vapor interface

V. Russier, Jean-Michel Caillol

A statistical field theory for an inhomogeneous liquid, a planar liquid/vapor interface, is devised from first principles. The grand canonical partition function is represented via…

cond-mat.stat-mech2009★ 68 cited

Hitting probability for anomalous diffusion processes

Satya N. Majumdar, Alberto Rosso, Andrea Zoia

We present the universal features of the hitting probability , the probability that a generic stochastic process starting at and evolving in a box hits the uppe…

cond-mat.stat-mech2009★ 5 cited

Charge and Current Sum Rules in Quantum Media Coupled to Radiation II

Ladislav Samaj, Bernard Jancovici

This paper is a continuation of the previous study [Šamaj, L.: J. Stat. Phys. {\bf 137}, 1-17 (2009)], where a sequence of sum rules for the equilibrium charge and current density…

cond-mat.stat-mech2009★ 116 cited

Phase Transitions in the Distribution of Bipartite Entanglement of a Random Pure State

Celine Nadal, Satya N. Majumdar, Massimo Vergassola

Using a Coulomb gas method, we compute analytically the probability distribution of the Renyi entropies (a standard measure of entanglement) for a random pure state of a large bipa…

cond-mat.stat-mech2009★ 22 cited

The longest excursion of fractional Brownian motion : numerical evidence of non-Markovian effects

Reinaldo Garcia-Garcia, Alberto Rosso, Gregory Schehr

We study, using exact numerical simulations, the statistics of the longest excursion l_{\max}(t) up to time t for the fractional Brownian motion with Hurst exponent 0<H<1. We show…

cond-mat.stat-mech2009★ 27 cited

Fluctuating hydrodynamics for driven granular gases

P. Maynar, M. I. Garcia de Soria, E. Trizac

We study a granular gas heated by a stochastic thermostat in the dilute limit. Starting from the kinetic equations governing the evolution of the correlation functions, a Boltzmann…

cond-mat.stat-mech2009★ 94 cited

The Index Distribution of Gaussian Random Matrices

Satya N. Majumdar, Celine Nadal, Antonello Scardicchio +1

We compute analytically, for large N, the probability distribution of the number of positive eigenvalues (the index N_{+}) of a random NxN matrix belonging to Gaussian orthogonal (…

cond-mat.stat-mech2009★ 18 cited

Condensation Transition in Polydisperse Hard Rods

M. R. Evans, S. N. Majumdar, I. Pagonabarraga +1

We study a mass transport model, where spherical particles diffusing on a ring can stochastically exchange volume , with the constraint of a fixed total volume $V=\sum_{i=1}^N v…

cond-mat.stat-mech2009★ 51 cited

Full Counting Statistics of Avalanche Transport: an Experiment

J. Gabelli, B. Reulet

We report the first measurement of high order cumulants of the current fluctuations in an avalanche diode run through by a stationary dc current. Such a system is archetypic of dev…

cond-mat.stat-mech2009

A statistical field theory approach applied to the liquid vapor interface

Vincent Russier, Jean-Michel Caillol

Last years, there has been a renewed interest in the utilization of statistical field theory methods for the description of systems at equilibrium both in the vicinity and away fro…

cond-mat.stat-mech2009★ 18 cited

An accurate equation of state for the one component plasma in the low coupling regime

Jean-Michel Caillol, Dominique Gilles

An accurate equation of state of the one component plasma is obtained in the low coupling regime . The accuracy results from a smooth combination of the well-known…

cond-mat.stat-mech2009★ 94 cited

Convex Hull of N Planar Brownian Motions: Exact Results and an Application to Ecology

Julien Randon-Furling, Satya N. Majumdar, Alain Comtet

We compute exactly the mean perimeter and area of the convex hull of N independent planar Brownian paths each of duration T, both for open and closed paths. We show that the mean p…

cond-mat.stat-mech2009★ 8 cited

Heuristic theory for many-faced d-dimensional Poisson-Voronoi cells

H. J. Hilhorst

We consider the d-dimensional Poisson-Voronoi tessellation and investigate the applicability of heuristic methods developed recently for two dimensions. Let p_n(d) be the probabili…

cond-mat.stat-mech2009

On the critical behavior of two-dimensional liquid crystals

Ana Isabel Fariñas-Sánchez, Robert Botet, Bertrand Berche +1

The Lebwohl-Lasher (LL) model is the traditional model used to describe the nematic-isotropic transition of real liquid crystals. In this paper, we develop a numerical study of the…

cond-mat.stat-mech2009★ 159 cited

Entanglement entropy in quantum impurity systems and systems with boundaries

Ian Affleck, Nicolas Laflorencie, Erik S. Sorensen

We review research on a number of situations where a quantum impurity or a physical boundary has an interesting effect on entanglement entropy. Our focus is mainly on impurity enta…

cond-mat.stat-mech2009★ 28 cited

Three-body Casimir effects and non-monotonic forces

P. Rodriguez-Lopez, S. J. Rahi, T. Emig

Casimir interactions are not pair-wise additive. This property leads to collective effects that we study for a pair of objects near a conducting wall. We employ a scattering approa…

cond-mat.stat-mech2009★ 15 cited

Area distribution of two-dimensional random walks on a square lattice

Stefan Mashkevich, Stéphane Ouvry

The algebraic area probability distribution of closed planar random walks of length N on a square lattice is considered. The generating function for the distribution satisfies a re…

cond-mat.stat-mech2009★ 24 cited

Message Passing for Optimization and Control of Power Grid: Model of Distribution System with Redundancy

Lenka Zdeborová, Aurélien Decelle, Michael Chertkov

We use a power grid model with generators and consumption units to optimize the grid and its control. Each consumer demand is drawn from a predefined finite-size-support di…

cond-mat.stat-mech2009★ 37 cited

Fluctuating hydrodynamics for dilute granular gases

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

Starting from the kinetic equations for the fluctuations and correlations of a dilute gas of inelastic hard spheres or disks, a Boltzmann-Langevin equation for the one-particle dis…

cond-mat.stat-mech2009★ 6 cited

Asymptotic statistics of the n-sided planar Voronoi cell: II. Heuristics

H. J. Hilhorst

We develop a set of heuristic arguments to explain several results on planar Poisson-Voronoi tessellations that were derived earlier at the cost of considerable mathematical effort…