Hydrodynamical limit for asymmetric attractive particle systems on
An overview on large deviations of the empirical measure of interacting particle systems
Hydrodynamic limit of mean zero asymmetric zero range processes in infinite volume
A lattice gas model for the incompressible Navier–Stokes equation
We recover the Navier–Stokes equation as the incompressible limit of a stochastic lattice gas in which particles are allowed to jump over a mesoscopic scale. The result holds in any dimension assuming the existence of a smooth solution of the Navier–Stokes equation in a fixed time interval. The proof does not use nongradient methods or the multi-scale analysis due to the long range jumps.
Préface au numéro spécial en l'honneur de Claude Kipnis
Quenched non-equilibrium central limit theorem for a tagged particle in the exclusion process with bond disorder
For a sequence of i.i.d. random variables { : ∈ℤ} bounded above and below by strictly positive finite constants, consider the nearest-neighbor one-dimensional simple exclusion process in which a particle at (resp. +1) jumps to +1 (resp. ) at rate . We examine a quenched non-equilibrium central limit theorem for the position of a tagged particle in the exclusion process with bond disorder { : ∈ℤ}. We prove that the position of the tagged particle converges...
Macroscopic properties of a stationary non-equilibrium distribution for anon-gradient interacting particle system
Nonequilibrium central limit theorem for a tagged particle in symmetric simple exclusion
Hydrodynamic limit for a particle system with degenerate rates
We study the hydrodynamic limit for some conservative particle systems with degenerate rates, namely with nearest neighbor exchange rates which vanish for certain configurations. These models belong to the class of (KCLG) which have been introduced and intensively studied in physical literature as simple models for the liquid/glass transition. Due to the degeneracy of rates there exist which do not evolve under the dynamics and in general the hyperplanes of configurations with a fixed number of...
Poisson trees, succession lines and coalescing random walks
Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems
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