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Non-equilibrium thermodynamics and stochasticity: a phenomenological look on Jarzynski’s equality

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Abstract

The theory of phenomenological non-equilibrium thermodynamics is extended by including stochastic processes in order to account for recently derived thermodynamical relations such as the Jarzynski’s equality. Four phenomenological axioms are postulated resulting in a phenomenological interpretation of Jarzynski’s equality. In particular, considering the class of Jarzynski processes Jarzynski’s equality follows from the axiom that the statistical average of the exponential work is protocol independent.

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  1. Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, 10623, Berlin, Germany

    W. Muschik

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  1. W. Muschik
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Correspondence to W. Muschik.

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Communicated by Andreas Öchsner.

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Muschik, W. Non-equilibrium thermodynamics and stochasticity: a phenomenological look on Jarzynski’s equality. Continuum Mech. Thermodyn. 28, 1887–1903 (2016). https://doi.org/10.1007/s00161-016-0517-y

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