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2007

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/24584

Statistical mechanical theory of an oscillating isolated system: The relaxation to equilibrium

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http://dx.doi.org/10.1063/1.2800165

Abstract

In this Contribution we show that a suitably defined nonequilibrium entropy of an N-body isolated system is not a constant of the motion, in general, and its variation is bounded, the bounds determined by the thermodynamic entropy, i.e., the equilibrium entropy. We define the nonequilibrium entropy as a convex functional of the set of n-particle reduced distribution functions (n ? N) generalizing the Gibbs fine-grained entropy formula. Additionally, as a consequence of our microscopic analysis we find that this nonequilibrium entropy behaves as a free entropic oscillator. In the approach to the equilibrium regime, we find relaxation equations of the Fokker-Planck type, particularly for the one-particle distribution function.

Subject

Mecànica estadística, Processos estocàstics, Entropia, Termodinàmica, Equació de Fokker-Planck

Subject (English)

Statistical mechanics, Stochastic processes, Entropy, Thermodynamics, Fokker-Planck equation

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Articles publicats en revistes (Física de la Matèria Condensada)

Citation

PÉREZ MADRID, Agustín. Statistical mechanical theory of an oscillating isolated system: The relaxation to equilibrium. Journal of Mathematical Physics. 2007. Vol. 48, num. 103302. ISSN 0022-2488. [consulted: 15 of August of 2026]. Available at: https://hdl.handle.net/2445/24584

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