Mapping current fluctuations of stochastic pumps to nonequilibrium steady states

Abstract

We show that current fluctuations in a stochastic pump can be robustly mapped to fluctuations in a corresponding time-independent nonequilibrium steady state. We thus refine a recently proposed mapping so that it ensures equivalence of not only the averages, but also optimal representation of fluctuations in currents and density. Our mapping leads to a natural decomposition of the entropy production in stochastic pumps similar to the "housekeeping" heat. As a consequence of the decomposition of entropy production, the current fluctuations in weakly perturbed stochastic pumps are shown to satisfy a universal bound determined by the steady state entropy production.

5 pages, 3 pages of Supporting Information

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• Stochastic thermodynamics of periodically driven systems: Fluctuation theorem for currents and unification of two classes
• Computing time-periodic steady-state currents via the time evolution of tensor network states
• Inferring kinetics and entropy production from observable transitions in partially accessible, periodically driven Markov networks
• A [3]-catenane non-autonomous molecular motor model: geometric phase, no-pumping theorem, and energy transduction
• Phase shift in periodically driven non-equilibrium systems: Its identification and a bound