Current fluctuations in stochastic systems with long-range memory

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.

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

References in corpus (4)

• Fluctuation theorems for stochastic dynamics
• Jarzynski Relation, Fluctuation Theorems, and Stochastic Thermodynamics for Non-Markovian Processes
• On the range of validity of the fluctuation theorem for stochastic Markovian dynamics
• Fluctuation relations for anomalous dynamics