Gibbs' theorem for open systems with incomplete statistics

Details Gibbs' theorem for open systems with incomplete statistics Gibbs' theorem for open systems with incomplete statistics

2008-12-04

arxiv.org/abs/0812.0943v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, accepted to Chaos, Solitons and Fractals

Scientific paper

Gibbs' theorem, which is originally intended for canonical ensembles with complete statistics has been generalized to open systems with incomplete statistics. As a result of this generalization, it is shown that the stationary equilibrium distribution of inverse power law form associated with the incomplete statistics has maximum entropy even for open systems with energy or matter influx. The renormalized entropy definition given in this paper can also serve as a measure of self-organization in open systems described by incomplete statistics.

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