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Journal Article

Current fluctuations in periodically driven systems


Cardoso Barato,  Andre
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Cardoso Barato, A., & Chetrite, R. (2018). Current fluctuations in periodically driven systems. Journal of Statistical Mechanics: Theory and Experiment, 2018: 053207. doi:10.1088/1742-5468/aabfc5.

Cite as: https://hdl.handle.net/21.11116/0000-0001-BA16-5
Small nonequelibrium systems driven by an external periodic protocol can be described by Markov processes with time-periodic transition rates. In general, current fluctuations in such small systems are large and may play a crucial role. We develop a theoretical formalism to evaluate the rate of such large deviations in periodically driven systems. We show that the scaled cumulant generating function that characterizes current fluctuations is given by a maximal Floquet exponent. Comparing deterministic protocols with stochastic protocols, we show that, with respect to large deviations, systems driven by a stochastic protocol with an infinitely large number of jumps are equivalent to systems driven by deterministic protocols. Our results are illustrated with three case studies: a two-state model for a heat engine, a three-state model for a molecular pump, and a biased random walk with a time-periodic affinity.