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arXiv · 1512.02212

Dissipation bounds all steady-state current fluctuations

Todd R. Gingrich·Jordan M. Horowitz·Nikolay Perunov·Jeremy England
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Abstract

Near equilibrium, small current fluctuations are described by a Gaussian with a linear-response variance regulated by the dissipation. Here, we demonstrate that dissipation still plays a dominant role in structuring large fluctuations arbitrarily far from equilibrium. In particular, we prove a linear-response-like bound on the large deviation function for currents in Markov jump processes. We find that nonequilibrium current fluctuations are always more likely than what is expected from a linear-response analysis. As a small-fluctuations corollary, we derive a recently-conjectured uncertainty bound on the variance of current fluctuations.

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Todd R. Gingrich, Jordan M. Horowitz, Nikolay Perunov, Jeremy England. 2016-02-04. Dissipation bounds all steady-state current fluctuations. https://doi.org/10.1103/physrevlett.116.120601

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