Interpretation of the nonextensitivity parameter $q$ in some applications of Tsallis statistics and Lévy distributions

Abstract

The nonextensitivity parameter $q$ occuring in some of the applications of Tsallis statistics (known also as index of the corresponding Lévy distribution) is shown to be given, in $q>1$ case, entirely by the fluctuations of the parameters of the usual exponential distribution.

Comments: Revised version, to be published in Phys. Rev. Lett. (2000)