Mimicking Nonequilibrium Steady States with Stochastic Pumps

Abstract

We establish a correspondence between two very general paradigms for systems that persist away from thermal equilibrium. In the first paradigm, a nonequilibrium steady state (NESS) is maintained by applying fixed thermodynamic forces that break detailed balance. In the second paradigm, known as a stochastic pump (SP), a time-periodic state is maintained by the periodic variation of a system's external parameters. In both cases, currents are generated and entropy is produced. Restricting ourselves to discrete-state systems, we establish a mapping between these scenarios. Given a NESS characterized by a particular set of stationary probabilities, currents and entropy production rates, we show how to construct a SP with exactly the same (time-averaged) values. The mapping works in the opposite direction as well. These results establish an equivalence between the two paradigms, by showing that stochastic pumps are able to mimic the behavior of nonequilibrium steady states, and vice-versa.

21 pages, 4 figures

References in corpus (9)

• Quantum Equivalence and Quantum Signatures in Heat Engines
• Controlled Population of Floquet-Bloch States via Coupling to Bose and Fermi Baths
• Thermodynamics of Micro- and Nano-Systems Driven by Periodic Temperature Variations
• Directed flow in non-adiabatic stochastic pumps
• Nonequilibrium sensing and its analogy to kinetic proofreading
• Pumping-Restriction Theorem for Stochastic Networks
• Thermodynamics of accuracy in kinetic proofreading: Dissipation and efficiency trade-offs
• Exact formula for currents in strongly pumped diffusive systems
• Unification and new extensions of the no-pumping theorems of stochastic pumps

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