Current fluctuations in stochastic systems with long-range memory
R. J. Harris, H. Touchette
TL;DR
This paper introduces a method to analyze large current fluctuations in stochastic systems with long-range memory, revealing how temporal correlations influence fluctuation behavior and discussing the fluctuation theorem's applicability.
Contribution
It presents a novel approach to compute large deviations in history-dependent stochastic systems, highlighting the impact of long-range temporal correlations.
Findings
Long-range memory alters the large deviation speed.
Temporal correlations affect fluctuation properties.
The applicability of the Gallavotti-Cohen theorem is discussed.
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.
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