Canonical partition function for anomalous systems described by the $\kappa$-entropy
Statistical Mechanics
2009-11-11 v1
Abstract
Starting from the -distribution function, obtained by applying the maximal entropy principle to the -entropy [G. Kaniadakis, Phys. Rev. E 66 (2002), 056125], we derive the expression of the canonical -partition function and discuss its main properties. It is shown that all important macroscopical quantities of the system can be expressed employing only the -partition function. The relationship between the associated -free energy and the -entropy is also discussed.
Cite
@article{arxiv.cond-mat/0509364,
title = {Canonical partition function for anomalous systems described by the $\kappa$-entropy},
author = {A. M. Scarfone and T. Wada},
journal= {arXiv preprint arXiv:cond-mat/0509364},
year = {2009}
}
Comments
8 pages, no figures. Work presented at the International conference Complexity and Nonextensivity: New Trends in Statistical Mechanics. - Yukawa Institute for Theoretical Physics - (14-18 March 2005) Kyoto, Japan