English

Current fluctuations in stochastic systems with long-range memory

Statistical Mechanics 2009-08-07 v3

Abstract

We propose a method to calculate the large deviations of current fluctuations in a class of stochastic particle systems with history-dependent rates. Long-range temporal correlations are seen to alter the speed of the large deviation function in analogy with long-range spatial correlations in equilibrium systems. We give some illuminating examples and discuss the applicability of the Gallavotti-Cohen fluctuation theorem.

Keywords

Cite

@article{arxiv.0904.1585,
  title  = {Current fluctuations in stochastic systems with long-range memory},
  author = {R. J. Harris and H. Touchette},
  journal= {arXiv preprint arXiv:0904.1585},
  year   = {2009}
}

Comments

10 pages, 1 figure. v2: Minor alterations. v3: Very minor alterations for consistency with published version appearing at http://stacks.iop.org/1751-8121/42/342001

R2 v1 2026-06-21T12:49:56.761Z