Canonical partition function for anomalous systems described by the $κ$-entropy
arXiv:cond-mat/0509364 · doi:10.1143/PTPS.162.45
Abstract
Starting from the $κ$-distribution function, obtained by applying the maximal entropy principle to the $κ$-entropy [G. Kaniadakis, Phys. Rev. E 66 (2002), 056125], we derive the expression of the canonical $κ$-partition function and discuss its main properties. It is shown that all important macroscopical quantities of the system can be expressed employing only the $κ$-partition function. The relationship between the associated $κ$-free energy and the $κ$-entropy is also discussed.
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