Time Reversibility, Correlation Decay and the Steady State Fluctuation Relation for Dissipation

Entropy. 2013;15(5):1503-1515 DOI 10.3390/e15051503

 

Journal Homepage

Journal Title: Entropy

ISSN: 1099-4300 (Online)

Publisher: MDPI AG

LCC Subject Category: Science: Astronomy: Astrophysics | Science: Physics

Country of publisher: Switzerland

Language of fulltext: English

Full-text formats available: PDF, HTML, XML

 

AUTHORS


Denis J. Evans

Lamberto Rondoni

Debra J. Searles

Barbara M. Johnston

EDITORIAL INFORMATION

Blind peer review

Editorial Board

Instructions for authors

Time From Submission to Publication: 11 weeks

 

Abstract | Full Text

Steady state fluctuation relations for nonequilibrium systems are under intense investigation because of their important practical implications in nanotechnology and biology. However the precise conditions under which they hold need clarification. Using the dissipation function, which is related to the entropy production of linear irreversible thermodynamics, we show time reversibility, ergodic consistency and a recently introduced form of correlation decay, called T-mixing, are sufficient conditions for steady state fluctuation relations to hold. Our results are not restricted to a particular model and show that the steady state fluctuation relation for the dissipation function holds near or far from equilibrium subject to these conditions. The dissipation function thus plays a comparable role in nonequilibrium systems to thermodynamic potentials in equilibrium systems.