Canonical partition function for anomalous systems described by the $κ$-entropy

Details Canonical partition function for anomalous systems described by the $κ$-entropy Canonical partition function for anomalous systems described by the $κ$-entropy

2005-09-14

arxiv.org/abs/cond-mat/0509364v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, no figures. Work presented at the International conference Complexity and Nonextensivity: New Trends in Statistical M

Scientific paper

10.1143/PTPS.162.45

Starting from the $\kappa$-distribution function, obtained by applying the maximal entropy principle to the $\kappa$-entropy [G. Kaniadakis, Phys. Rev. E 66 (2002), 056125], we derive the expression of the canonical $\kappa$-partition function and discuss its main properties. It is shown that all important macroscopical quantities of the system can be expressed employing only the $\kappa$-partition function. The relationship between the associated $\kappa$-free energy and the $\kappa$-entropy is also discussed.

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