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The distribution function of entropy flow in stochastic systems

A. Imparato·L. Peliti
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Abstract

We obtain a simple direct derivation of the differential equation governing the entropy flow probability distribution function of a stochastic system first obtained by Lebowitz and Spohn. Its solution agrees well with the experimental results of Tietz et al [2006 {\it Phys. Rev. Lett.} {\bf 97} 050602]. A trajectory-sampling algorithm allowing to evaluate the entropy flow distribution function is introduced and discussed. This algorithm turns out to be effective at finite times and in the case of time-dependent transition rates, and is successfully applied to an asymmetric simple exclusion process.

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A. Imparato, L. Peliti. 2007-02-13. The distribution function of entropy flow in stochastic systems. https://doi.org/10.1088/1742-5468%2F2007%2F02%2Fl02001

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