Relevance of initial and final conditions for the Fluctuation Relation in Markov processes
arXiv:cond-mat/0606526 · doi:10.1088/1742-5468/2006/08/P08010
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.
arXiv comment23 pages, 5 figures, submitted to JSTAT
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