Quantitative ergodicity for the symmetric exclusion process with stationary initial data

Distributional Limits for the Symmetric Exclusion Process

Strong negative dependence properties have recently been proved for the symmetric exclusion process. In this paper, we apply these results to prove convergence to the Poisson and Gaussian distributions for various functionals of the process.

Perturbations of the Symmetric Exclusion Process

One of the fundamental issues concerning particle systems is classifying the invariant measures I and giving properties of those measures for different processes. For the exclusion process with symmetric kernel p(x, y) = p(y, x), I has been completely studied. This paper gives results concerning I for exclusion processes where p(x, y) = p(y, x) except for finitely many x, y ∈ S and p(x, y) corr...

Symmetric Simple Exclusion Process: Regularity of the Self Diffusion Coefficient

Effective ergodicity breaking in an exclusion process with varying system length

Stochastic processes of interacting particles with varying length are relevant e.g. for several biological applications. We try to explore what kind of new physical effects one can expect in such systems. As an example, we extend the exclusive queueing process that can be viewed as a one-dimensional exclusion process with varying length, by introducing Langmuir kinetics. This process can be int...

Exact time-dependent correlation functions for the symmetric exclusion process with open boundary.

As a simple model for single-file diffusion of hard core particles we investigate the one-dimensional symmetric exclusion process. We consider an open semi-infinite system where one end is coupled to an external reservoir of constant density rho(*) and which initially is in a nonequilibrium state with bulk density rho(0). We calculate the exact time-dependent two-point density correlation funct...