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

Andrea Puglisi·Lamberto Rondoni·Angelo Vulpiani
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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.

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Andrea Puglisi, Lamberto Rondoni, Angelo Vulpiani. 2006-06-20. Relevance of initial and final conditions for the Fluctuation Relation in Markov processes. https://doi.org/10.1088/1742-5468%2F2006%2F08%2Fp08010

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