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Information theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in non-equilibrium stationary states | | Roderick C. Dewar
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23 May 2000 | | Journal: | J. Phys. A: Math. Gen. 36 (2003) 631-641 | | Subject: | Statistical Mechanics; Atmospheric and Oceanic Physics | 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. | | Source: | arXiv, cond-mat/0005382 | | Services: | Forum | Review | PDF | Favorites | |
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