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

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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.

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Reproducció del document proporcionada per AIP i http://dx.doi.org/10.1063/1.2800165

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Journal of Mathematical Physics, 2007, vol. 48, p. 103302

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Articles publicats en revistes (Física de la Matèria Condensada)

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