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Nonequilibrium Equalities in Absolutely Irreversible Processes

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arxiv 1401.4494 v4 pith:4HLC4KNT submitted 2014-01-17 cond-mat.stat-mech

Yûto Murashita , Ken Funo , Masahito Ueda This is my paper · ORCID
classification cond-mat.stat-mech
keywords equalitiesabsolutelyintegralirreversiblenonequilibriumprobabilityprocessesabsolute
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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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