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Showing 2003 · cond-mat.stat-mechShow all

26 papers · 2 filters

cond-mat.stat-mech2003★ 13 cited

Statistical mechanics of random graphs

Zdzislaw Burda, Jerzy Jurkiewicz, Andre Krzywicki

We discuss various aspects of the statistical formulation of the theory of random graphs, with emphasis on results obtained in a series of our recent publications.

cond-mat.stat-mech2003★ 10 cited

Properties of atypical graphs from negative complexities

Olivier Rivoire

The one-step replica symmetry breaking cavity method is proposed as a new tool to investigate large deviations in random graph ensembles. The procedure hinges on a general connecti…

cond-mat.stat-mech2003★ 183 cited

Pinning and Sliding of Driven Elastic Systems: from Domain Walls to Charge Density Waves

Serguei Brazovskii, Thomas Nattermann

The review is devoted to the theory of collective and it local pinning effects in various disordered non-linear driven systems. Although the emphasis is put on charge and spin dens…

cond-mat.stat-mech2003★ 4.3k cited

The architecture of complex weighted networks

Alain Barrat, Marc Barthelemy, Romualdo Pastor-Satorras +1

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly in…

cond-mat.stat-mech2003★ 173 cited

Efficiency and reliability of epidemic data dissemination in complex networks

Yamir Moreno, Maziar Nekovee, Alessandro Vespignani

We study the dynamics of epidemic spreading processes aimed at spontaneous dissemination of information updates in populations with complex connectivity patterns. The influence of…

cond-mat.stat-mech2003★ 4 cited

Density profiles in a quantum Coulomb fluid near a hard wall

Jean-Noel Aqua, Francoise Cornu

Equilibrium particle densities near a hard wall are studied for a quantum fluid made of point charges which interact via Coulomb potential without any regularization. In the framew…

cond-mat.stat-mech2003★ 45 cited

Temperature probes in binary granular gases

Alain Barrat, Vittorio Loreto, Andrea Puglisi

We investigate the validity of Fluctuation-Dissipation (FD) relations for a mixture of two granular gases with different physical properties (restitution coefficients or masses) su…

cond-mat.stat-mech2003★ 41 cited

Correlations in Ballistic Processes

E. Trizac, P. L. Krapivsky

We investigate a class of reaction processes in which particles move ballistically and react upon colliding. We show that correlations between velocities of colliding particles pla…

cond-mat.stat-mech2003★ 11 cited

On metric structure of ultrametric spaces

Sergei Nechaev, Oleg Vasilyev

In our work we have reconsidered the old problem of diffusion at the boundary of ultrametric tree from a "number theoretic" point of view. Namely, we use the modular functions (in…

cond-mat.stat-mech2003★ 223 cited

Observing Brownian motion in vibration-fluidized granular matter

G. D'Anna, P. Mayor, A. Barrat +2

At the beginning of last century, Gerlach and Lehrer observed the rotational Brownian motion of a very fine wire immersed in an equilibrium environment, a gas. This simple experime…

cond-mat.stat-mech2003★ 2 cited

Two-dimensional O(n) model in a staggered field

Dibyendu Das, Jesper Lykke Jacobsen

Nienhuis' truncated O(n) model gives rise to a model of self-avoiding loops on the hexagonal lattice, each loop having a fugacity of n. We study such loops subjected to a particula…

cond-mat.stat-mech2003★ 19 cited

Statistical evaporation of rotating clusters. II. Angular momentum distribution

P. Parneix, F. Calvo

The change in the angular momentum of an atomic cluster following evaporation is investigated using rigorous phase space theory and molecular dynamics simulations, with an aim at t…

cond-mat.stat-mech2003★ 6 cited

Microscopic Calculation of the Dielectric Susceptibility Tensor for Coulomb Fluids II

B. Jancovici, L. Samaj

For a Coulomb system contained in a domain Λ, the dielectric susceptibility tensor χ_Λ is defined as relating the average polarization in the system to a constant applied electric…

cond-mat.stat-mech2003★ 35 cited

Fractal fronts in fractal fractures: large and small-scale structure

G. Drazer, H. Auradou, J. Koplik +1

The evolution and spatial structure of displacement fronts in fractures with self-affine rough walls are studied by numerical simulations. The fractures are open and the two faces…

cond-mat.stat-mech2003★ 62 cited

An Anisotropic Ballistic Deposition Model with Links to the Ulam Problem and the Tracy-Widom Distribution

Satya N. Majumdar, Sergei Nechaev

We compute exactly the asymptotic distribution of scaled height in a (1+1)--dimensional anisotropic ballistic deposition model by mapping it to the Ulam problem of finding the long…

cond-mat.stat-mech2003★ 148 cited

Glass models on Bethe lattices

O. Rivoire, G. Biroli, O. C. Martin +1

We consider ``lattice glass models'' in which each site can be occupied by at most one particle, and any particle may have at most l occupied nearest neighbors. Using the cavity me…

cond-mat.stat-mech2003

The Last Passage Problem on Graphs

Jean Desbois, Olivier Benichou

We consider a Brownian motion on a general graph, that starts at time t=0 from some vertex O and stops at time t somewhere on the graph. Denoting by g the last time when O is reach…

cond-mat.stat-mech2003★ 53 cited

Some applications of the Lambert W function to classical statistical mechanics

Jean-Michel Caillol

We apply the recently defined Lambert W function to some problems of classical statistical mechanics, i.e. the Tonks gas and a fluid of classical particles interacting via repulsiv…

cond-mat.stat-mech2003★ 32 cited

Persistence Exponents and the Statistics of Crossings and Occupation Times for Gaussian Stationary Processes

George M. C. A. Ehrhardt, Satya N. Majumdar, Alan J. Bray

We consider the persistence probability, the occupation-time distribution and the distribution of the number of zero crossings for discrete or (equivalently) discretely sampled Gau…

cond-mat.stat-mech2003★ 13 cited

Charge Fluctuations for a Coulomb Fluid in a Disk on a Pseudosphere

B. Jancovici, G. Téllez

The classical (i.e. non-quantum) equilibrium statistical mechanics of a Coulomb fluid living on a pseudosphere (an infinite surface of constant negative curvature) is considered. T…

cond-mat.stat-mech2003★ 25 cited

Sine-Gordon Theory for the Equation of State of Classical Hard-Core Coulomb systems. III Loopwise Expansion

Jean-Michel Caillol

We present an exact field theoretical representation of an ionic solution made of charged hard spheres. The action of the field theory is obtained by performing a Hubbard-Stratonov…

cond-mat.stat-mech2003

Screened cluster expansions for partially ionized gases

A. Alastuey, V. Ballenegger, F. Cornu +1

We consider a partially ionized gas at thermal equilibrium, in the Saha regime. The system is described in terms of a quantum plasma of nuclei and electrons. In this framework, the…

cond-mat.stat-mech2003★ 13 cited

Monte Carlo simulations of the screening potential of the Yukawa one-component plasma

J. -M. Caillol, D. Gilles

A Monte Carlo scheme to sample the screening potential H(r) of Yukawa plasmas notably at short distances is presented. This scheme is based on an importance sampling technique. Com…

cond-mat.stat-mech2003

Kinetics of Fragmenting Freely Evolving Granular Gases

Ignacio Pagonabarraga, Emmanuel Trizac

We investigate the effect of fragmentation on the homogeneous free cooling of inelastic hard spheres, using Boltzmann kinetic theory and Direct Monte Carlo simulations. We analyze…