English

Nonequilibrium Equalities in Absolutely Irreversible Processes

Statistical Mechanics 2016-08-11 v4

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.

Keywords

Cite

@article{arxiv.1401.4494,
  title  = {Nonequilibrium Equalities in Absolutely Irreversible Processes},
  author = {Yûto Murashita and Ken Funo and Masahito Ueda},
  journal= {arXiv preprint arXiv:1401.4494},
  year   = {2016}
}

Comments

14 pages, 8 figures

R2 v1 2026-06-22T02:48:41.087Z