Fluctuations in interacting particle systems with memory

被引：15

作者：

Harris, Rosemary J. ^{[1
]}

机构：

[1] Queen Mary Univ London, Sch Math Sci, London E1 4NS, England

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2015年

关键词：

driven diffusive systems (theory); stochastic particle dynamics (theory); current fluctuations; large deviations in non-equilibrium systems; NONEQUILIBRIUM STATISTICAL-MECHANICS; ASYMMETRIC EXCLUSION MODEL; TIME RANDOM-WALKS; STOCHASTIC DYNAMICS; LARGE DEVIATIONS; OPEN BOUNDARIES; SYMMETRY; PHYSICS; LAW;

D O I：

10.1088/1742-5468/2015/07/P07021

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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.

引用

页数：22

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