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arXiv · 1904.11787

Imitating non-equilibrium steady states using time-varying equilibrium force in many-body diffusive systems

Ohad Shpielberg·Takahiro Nemoto
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Abstract

An equivalence between non equilibrium steady states (NESS) driven by a time-independent force and stochastic pumps (SP) stirred by a time-varying conservative force is studied for general many-body diffusive systems. When the particle density and current of NESS are imitated by SP time-averaged counterparts, we prove that the entropy production rate in NESS is always greater than that of SP, provided that the conductivity of the particle current is concave as a function of the particle density. Searching for a SP protocol that saturates the entropy production bound reveals an unexpected connection with traffic waves, where a high density region propagates against the direction of the particle current.

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Ohad Shpielberg, Takahiro Nemoto. 2019-04-26. Imitating non-equilibrium steady states using time-varying equilibrium force in many-body diffusive systems. https://doi.org/10.1103/physreve.100.032104

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