Fluctuation patterns and conditional reversibility in nonequilibrium systems
Abstract
Fluctuations of observables as functions of time, or "fluctuation patterns", are studied in a chaotic microscopically reversible system that has irreversibly reached a nonequilibrium stationary state. Supposing that during a certain, long enough, time interval the average entropy creation rate has a value $s$ and that during another time interval of the same length it has value $s$ then we show that the relative probabilities of fluctuation patterns in the first time interval are the same as those of the reversed patterns in the second time interval. The system is ``conditionally reversible'' or irreversibility in a reversible system is "driven" by the entropy creation: while a very rare fluctuation happens to change the sign of the entropy creation rate it also happens that the time reversed fluctuations of all other observables acquire the same relative probability of the corresponding fluctuations in presence of normal entropy creation. A mathematical proof is sketched.
 Publication:

arXiv eprints
 Pub Date:
 March 1997
 DOI:
 10.48550/arXiv.chaodyn/9703007
 arXiv:
 arXiv:chaodyn/9703007
 Bibcode:
 1997chao.dyn..3007G
 Keywords:

 Nonlinear Sciences  Chaotic Dynamics
 EPrint:
 12 pages, TeX