Canonical Partition Function for Anomalous Systems Described by the κ-Entropy

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.