Entropy 2003, 5[2], 220-232
Entropy
ISSN 1099-4300
http://www.mdpi.org/entropy/

Extensive Generalization of Statistical Mechanics Based on Incomplete Information Theory

Qiuping A. Wang

Institut Supérieur des Matériaux du Mans, 44, Avenue F.A. Bartholdi, 72000 Le Mans, France.
E-mail: [email protected]

Received: 23 May 2002 / Accepted: 30 January 2003 / Published: 30 June 2003

Abstract: Statistical mechanics is generalized on the basis of an additive information theory for incomplete probability distributions. The incomplete normalization is used to obtain generalized entropy . 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.

PACS codes: 02.50.-r, 05.20.-y, 71.10.-w, 71.27.+a

Keywords: Statistical Mechanics, Generalized Statistics, Incomplete Information, Thermodynamics.


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