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arXiv · 1201.0904

Non-equilibrium thermodynamics of stochastic systems with odd and even variables

Richard E. Spinney·Ian J. Ford
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Abstract

The total entropy production of stochastic systems can be divided into three quantities. The first corresponds to the excess heat, whilst the second two comprise the house-keeping heat. We denote these two components the transient and generalised house-keeping heat and we obtain an integral fluctuation theorem for the latter, valid for all Markovian stochastic dynamics. A previously reported formalism is obtained when the stationary probability distribution is symmetric for all variables that are odd under time reversal which restricts consideration of directional variables such as velocity.

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BibTeXRIS

Richard E. Spinney, Ian J. Ford. 2012-01-04. Non-equilibrium thermodynamics of stochastic systems with odd and even variables. https://doi.org/10.1103/physrevlett.108.170603

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