Fluctuation theorems in nonextensive statistics

Abstract

Nonextensive statistics is a formalism of statistical mechanics that describes the ocurrence of power-law distributions in complex systems, particularly the so-called q-exponential family of distributions. In this work we present the use of fluctuation theorems for q-canonical ensembles as a powerful tool to readily obtain statistical properties. In particular, we have obtained strong conditions for the possible values of q depending on the density of states of the system.