Relevance of initial and final conditions for the Fluctuation Relation in Markov processes

Details Relevance of initial and final conditions for the Fluctuation Relation in Markov processes Relevance of initial and final conditions for the Fluctuation Relation in Markov processes

2006-06-20

arxiv.org/abs/cond-mat/0606526v1

J. Stat. Mech. (2006) P08010

Physics

Condensed Matter

Statistical Mechanics

23 pages, 5 figures, submitted to JSTAT

Scientific paper

10.1088/1742-5468/2006/08/P08010

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.

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