Article,

Relevance of initial and final conditions for the fluctuation relation in Markov processes

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Journal of Statistical Mechanics: Theory and Experiment, 2006 (08): P08010 (2006)

Abstract

Numerical observations on a Markov chain and on the continuous Markov process performed with 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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