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arXiv · 1401.4494

Nonequilibrium Equalities in Absolutely Irreversible Processes

Yûto Murashita·Ken Funo·Masahito Ueda
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Abstract

We generalize nonequilibrium integral equalities to situations involving absolutely irreversible processes for which the forward-path probability vanishes and the entropy production diverges, rendering conventional integral fluctuation theorems inapplicable. We identify the mathematical origins of absolute irreversibility as the singularity of probability measure. We demonstrate the validity of the obtained equalities for several models.

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Yûto Murashita, Ken Funo, Masahito Ueda. 2014-09-21. Nonequilibrium Equalities in Absolutely Irreversible Processes. https://doi.org/10.1103/physreve.90.042110

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