output
19922026
Showing 2006 · cond-mat.stat-mechShow all

36 papers · 2 filters

cond-mat.stat-mech2006★ 18 cited

New Monte Carlo method for planar Poisson-Voronoi cells

H. J. Hilhorst

By a new Monte Carlo algorithm we evaluate the sidedness probability p_n of a planar Poisson-Voronoi cell in the range 3 \leq n \leq 1600. The algorithm is developed on the basis o…

cond-mat.stat-mech2006★ 553 cited

Gibbs States and the Set of Solutions of Random Constraint Satisfaction Problems

Florent Krzakala, Andrea Montanari, Federico Ricci-Tersenghi +2

An instance of a random constraint satisfaction problem defines a random subset S (the set of solutions) of a large product space (the set of assignments). We consider two prototyp…

cond-mat.stat-mech2006★ 8 cited

Non-intersection exponents of fully packed trails on the square lattice

Yacine Ikhlef, Jesper Lykke Jacobsen, Hubert Saleur

Fully packed trails on the square lattice are known to be described, in the long distance limit, by a collection of free non compact bosons and symplectic fermions, and thus exhibi…

cond-mat.stat-mech2006★ 60 cited

Effective surface-tension in the noise-reduced voter model

Luca Dall'Asta, Claudio Castellano

The role of memory is crucial in determining the properties of many dynamical processes in statistical physics. We show that the simple addition of memory, in the form of noise red…

cond-mat.stat-mech2006★ 1 cited

A staggered six-vertex model with non-compact continuum limit

Yacine Ikhlef, Jesper Lykke Jacobsen, Hubert Saleur

The antiferromagnetic critical point of the Potts model on the square lattice was identified by Baxter as a staggered integrable six-vertex model. In this work, we investigate the…

cond-mat.stat-mech2006★ 1 cited

Longest increasing subsequence as expectation of a simple nonlinear stochastic PDE with a low noise intensity

E. Katzav, S. Nechaev, O. Vasilyev

We report some new observation concerning the statistics of Longest Increasing Subsequences (LIS). We show that the expectation of LIS, its variance, and apparently the full distri…

cond-mat.stat-mech2006★ 112 cited

Non-equilibrium phase transition in negotiation dynamics

A. Baronchelli, L. Dall'Asta, A. Barrat +1

We introduce a model of negotiation dynamics whose aim is that of mimicking the mechanisms leading to opinion and convention formation in a population of individuals. The negotiati…

cond-mat.stat-mech2006★ 13 cited

Current distribution in systems with anomalous diffusion: renormalisation group approach

Vivien Lecomte, Uwe C. Tauber, Frederic van Wijland

We investigate the asymptotic properties of the large deviation function of the integrated particle current in systems, in or out of thermal equilibrium, whose dynamics exhibits an…

cond-mat.stat-mech2006★ 233 cited

Large Deviations of Extreme Eigenvalues of Random Matrices

David S. Dean, Satya N. Majumdar

We calculate analytically the probability of large deviations from its mean of the largest (smallest) eigenvalue of random matrices belonging to the Gaussian orthogonal, unitary an…

cond-mat.stat-mech2006★ 36 cited

On the Inelastic Collapse of a Ball Bouncing on a Randomly Vibrating Platform

Satya N. Majumdar, Michael J. Kearney

We study analytically the dynamics of a ball bouncing inelastically on a randomly vibrating platform, as a simple toy model of inelastic collapse. Of principal interest are the dis…

cond-mat.stat-mech2006★ 3 cited

Random patterns generated by random permutations of natural numbers

G. Oshanin, R. Voituriez, S. Nechaev +2

We survey recent results on some one- and two-dimensional patterns generated by random permutations of natural numbers. In the first part, we discuss properties of random walks, ev…

cond-mat.stat-mech2006★ 33 cited

Random trimer tilings

Anandamohan Ghosh, Deepak Dhar, Jesper Lykke Jacobsen

We study tilings of the square lattice by linear trimers. For a cylinder of circumference m, we construct a conserved functional of the base of the tilings, and use this to block-d…

cond-mat.stat-mech2006★ 14 cited

The Statistics of the Number of Minima in a Random Energy Landscape

Satya N. Majumdar, Olivier C. Martin

We consider random energy landscapes constructed from d-dimensional lattices or trees. The distribution of the number of local minima in such landscapes follows a large deviation p…

cond-mat.stat-mech2006★ 33 cited

The rich behavior of the Boltzmann equation for dissipative gases

M. H. Ernst, E. Trizac, A. Barrat

Within the framework of the homogeneous non-linear Boltzmann equation, we present a new analytic method, without the intrinsic limitations of existing methods, for obtaining asympt…

cond-mat.stat-mech2006★ 65 cited

Randomly incomplete spectra and intermediate statistics

O. Bohigas, M. P. Pato

By randomly removing a fraction of levels from a given spectrum a model is constructed that describes a crossover from this spectrum to a Poisson spectrum. The formalism is applied…

cond-mat.stat-mech2006★ 3 cited

Scanning the critical fluctuations -- application to the phenomenology of the two-dimensional XY-model --

Ricardo Paredes, Robert Botet

We show how applying field conjugated to the order parameter, may act as a very precise probe to explore the probability distribution function of the order parameter. Using this `m…

cond-mat.stat-mech2006★ 19 cited

Off-diagonal correlations of lattice impenetrable bosons in one dimension

D. M. Gangardt, G. V. Shlyapnikov

We consider off-diagonal correlation functions of impenetrable bosons on a lattice. By using the Jordan-Wigner transformation the one-body density matrix is represented as (Toeplit…

cond-mat.stat-mech2006★ 110 cited

Classical dimers with aligning interactions on the square lattice

Fabien Alet, Yacine Ikhlef, Jesper Lykke Jacobsen +2

We present a detailed study of a model of close-packed dimers on the square lattice with an interaction between nearest-neighbor dimers. The interaction favors parallel alignment o…

cond-mat.stat-mech2006★ 2 cited

Relation between directed polymers in random media and random bond dimer models

Ying Jiang, Thorsten Emig

We reassess the relation between classical lattice dimer models and the continuum elastic description of a lattice of fluctuating polymers. In the absence of randomness we determin…

cond-mat.stat-mech2006★ 25 cited

General flux to a trap in one and three dimensions

Robert M. Ziff, Satya N. Majumdar, Alain Comtet

The problem of the flux to a spherical trap in one and three dimensions, for diffusing particles undergoing discrete-time jumps with a given radial probability distribution, is sol…

cond-mat.stat-mech2006★ 5 cited

Electric-field correlations in quantum charged fluids coupled to the radiation field

B. Jancovici

In a recent paper [S.El Boustani, P.R.Buenzli, and Ph.A.Martin, Phys.Rev. E 73, 036113 (2006) cond-mat/0511537], about quantum charges in equilibrium with radiation, among other th…

cond-mat.stat-mech2006★ 331 cited

Thermodynamic formalism for systems with Markov dynamics

Vivien Lecomte, Cécile Appert-Rolland, Frédéric van Wijland

The thermodynamic formalism allows one to access the chaotic properties of equilibrium and out-of-equilibrium systems, by deriving those from a dynamical partition function. The de…

cond-mat.stat-mech2006★ 23 cited

Exact solution of a model of time-dependent evolutionary dynamics in a rugged fitness landscape

Clement Sire, Satya N. Majumdar, David S. Dean

A simplified form of the time dependent evolutionary dynamics of a quasispecies model with a rugged fitness landscape is solved via a mapping onto a random flux model whose asympto…

cond-mat.stat-mech2006★ 31 cited

Planar Voronoi cells : the violation of Aboav's law explained

Hendrik-Jan Hilhorst

In planar cellular systems denotes the average sidedness of a cell neighboring an -sided cell. Aboav's empirical law states that is linear in . A downward curv…