{ "id": "cond-mat/0606526", "version": "v1", "published": "2006-06-20T13:58:01.000Z", "updated": "2006-06-20T13:58:01.000Z", "title": "Relevance of initial and final conditions for the Fluctuation Relation in Markov processes", "authors": [ "Andrea Puglisi", "Lamberto Rondoni", "Angelo Vulpiani" ], "comment": "23 pages, 5 figures, submitted to JSTAT", "journal": "J. Stat. Mech. (2006) P08010", "doi": "10.1088/1742-5468/2006/08/P08010", "categories": [ "cond-mat.stat-mech" ], "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.", "revisions": [ { "version": "v1", "updated": "2006-06-20T13:58:01.000Z" } ], "analyses": { "keywords": [ "fluctuation relation", "final conditions", "markov processes", "markov chain", "granular tracer behave" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable" } } }