Fluctuations in interacting particle systems with memory
Abstract
We consider the effects of long-range temporal correlations in many-particle systems, focusing particularly on fluctuations about the typical behaviour. For a specific class of memory dependence we discuss the modification of the large deviation principle describing the probability of rare currents and show how superdiffusive behaviour can emerge. We illustrate the general framework with detailed calculations for a memory-dependent version of the totally asymmetric simple exclusion process as well as indicating connections to other recent work.
Cite
@article{arxiv.1505.08095,
title = {Fluctuations in interacting particle systems with memory},
author = {Rosemary J. Harris},
journal= {arXiv preprint arXiv:1505.08095},
year = {2015}
}
Comments
22 pages, 9 figures. v2+: Minor changes. This is an author-created, un-copyedited version of an article published in JSTAT. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/1742-5468/2015/07/P07021 . Note also erratum to fix errors in production!