{ "id": "cond-mat/0005382", "version": "v3", "published": "2000-05-23T13:12:04.000Z", "updated": "2002-12-13T15:50:09.000Z", "title": "Information theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in non-equilibrium stationary states", "authors": [ "Roderick C. Dewar" ], "comment": "21 pages, 0 figures, minor modifications, version to appear in J. Phys. A. (2003)", "journal": "J. Phys. A: Math. Gen. 36 (2003) 631-641", "doi": "10.1088/0305-4470/36/3/303", "categories": [ "cond-mat.stat-mech", "physics.ao-ph" ], "abstract": "Jaynes' information theory formalism of statistical mechanics is applied to the stationary states of open, non-equilibrium systems. The key result is the construction of the probability distribution for the underlying microscopic phase space trajectories. Three consequences of this result are then derived : the fluctuation theorem, the principle of maximum entropy production, and the emergence of self-organized criticality for flux-driven systems in the slowly-driven limit. The accumulating empirical evidence for these results lends support to Jaynes' formalism as a common predictive framework for equilibrium and non-equilibrium statistical mechanics.", "revisions": [ { "version": "v3", "updated": "2002-12-13T15:50:09.000Z" } ], "analyses": { "keywords": [ "maximum entropy production", "non-equilibrium stationary states", "information theory explanation", "fluctuation theorem", "self-organized criticality" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable" } } }