Nonequilibrium Microcanonical and Canonical Ensembles and Their Equivalence

Abstract : Generalizations of the microcanonical and canonical ensembles for paths of Markov processes have been proposed recently to describe the statistical properties of nonequilibrium systems driven in steady states. Here, we propose a theory of these ensembles that unifies and generalizes earlier results and show how it is fundamentally related to the large deviation properties of nonequilibrium systems. Using this theory, we provide conditions for the equivalence of nonequilibrium ensembles, generalizing those found for equilibrium systems, construct driven physical processes that generate these ensembles, and rederive in a simple way known and new product rules for their transition rates. A nonequilibrium diffusion model is used to illustrate these results.
Complete list of metadatas

Cited literature [25 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00915479
Contributor : Raphael Chetrite <>
Submitted on : Sunday, December 8, 2013 - 11:25:00 AM
Last modification on : Thursday, February 7, 2019 - 2:58:42 PM
Long-term archiving on: Saturday, March 8, 2014 - 10:11:15 PM

File

nessensemble7.pdf
Explicit agreement for this submission

Identifiers

Citation

Raphael Chetrite, Hugo Touchette. Nonequilibrium Microcanonical and Canonical Ensembles and Their Equivalence. Physical Review Letters, American Physical Society, 2013, 111, pp.120601. ⟨10.1103/PhysRevLett.111.120601⟩. ⟨hal-00915479⟩

Share

Metrics

Record views

195

Files downloads

352