On the interpretation of nonextensive parameter q in Tsallis statistics and Levy distributions

Aug, 1999
5 pages
Published in:
  • Phys.Rev.Lett. 84 (2000) 2770
e-Print:
Report number:
  • SINS-PVIII-1999-9

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Abstract:
The nonextensitivity parameter qq occuring in some of the applications of Tsallis statistics (known also as index of the corresponding L\'evy distribution) is shown to be given, in q>1q>1 case, entirely by the fluctuations of the parameters of the usual exponential distribution.
Note:
  • Revised version, to be published in Phys. Rev. Lett. (2000) Subj-class: High Energy Physics - Phenomenology: Statistical Mechanics Journal-ref: Phys. Rev. lett. 84 (2000) 2770
  • statistical mechanics
  • fluctuation
  • correlation function