Nonequilibrium fluctuations for a tagged particle in one-dimensional sublinear rate zero-range processes
Probability
2010-11-05 v1 Mathematical Physics
math.MP
Abstract
Nonequilibrium fluctuations of a tagged, or distinguished particle in a class of one dimensional mean-zero zero-range systems with sublinear, increasing rates are derived. In Jara-Landim-Sethuraman (2009), processes with at least linear rates are considered. A different approach to establish a main "local replacement" limit is required for sublinear rate systems, given that their mixing properties are much different. The method discussed also allows to capture the fluctuations of a "second-class" particle in unit rate, symmetric zero-range models.
Cite
@article{arxiv.1011.1199,
title = {Nonequilibrium fluctuations for a tagged particle in one-dimensional sublinear rate zero-range processes},
author = {Milton Jara and Claudio Landim and Sunder Sethuraman},
journal= {arXiv preprint arXiv:1011.1199},
year = {2010}
}
Comments
27 pages