Extensive generalization of statistical mechanics based on incomplete information theory

2000/09/30 by Qiuping A. Wang
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf

published as Entropy, 5(2) (2003) · 15 pages, 3 eps figures, TeX

arxiv created 2003/03/07 · arxiv updated 2009/11/30

Abstract

Statistical mechanics is generalized on the basis of an additive information theory for incomplete probability distributions. The incomplete normalization ∑_i=1^wp_i^q=1 is used to obtain generalized entropy S=-k∑_i=1^wp_i^qln p_i. The concomitant incomplete statistical mechanics is applied to some physical systems in order to show the effect of the incompleteness of information. It is shown that this extensive generalized statistics can be useful for the correlated electron systems in weak coupling regime.

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