Relevance of initial and final conditions for the Fluctuation Relation in Markov processes
Statistical Mechanics
2007-05-23 v1
Abstract
Numerical observations on a Markov chain and on the continuous Markov process performed by a granular tracer show that the ``usual'' fluctuation relation for a given observable is not verified for finite (but arbitrarily large) times. This suggests that some terms which are usually expected to be negligible, i.e. ``border terms'' dependent only on initial and final states, in fact cannot be neglected. Furthermore, the Markov chain and the granular tracer behave in a quite similar fashion.
Cite
@article{arxiv.cond-mat/0606526,
title = {Relevance of initial and final conditions for the Fluctuation Relation in Markov processes},
author = {Andrea Puglisi and Lamberto Rondoni and Angelo Vulpiani},
journal= {arXiv preprint arXiv:cond-mat/0606526},
year = {2007}
}
Comments
23 pages, 5 figures, submitted to JSTAT