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

1999/08/31 by G. Wilk, Z. Wlodarczyk · 2 citations
Physics and Astronomy · #hep-ph #cond-mat.stat-mech #nucl-th

paper · pdf · doi:10.1103/physrevlett.84.2770

published as Phys.Rev.Lett.84:2770,2000 · Revised version, to be published in Phys. Rev. Lett. (2000)

arxiv created 2000/01/28 · arxiv updated 2011/05/05

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.

Cited by

• Bounded thermal weights from a discrete Boltzmann factor
• Evidence of Nonlinear Signatures in Solar Wind Proton Density at the L1 Lagrange point