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Probability distribution of (Schwämmle and Tsallis) two-parameter entropies and the Lambert W-function

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  • Asgarani, Somayeh
  • Mirza, Behrouz

Abstract

We investigate a two-parameter entropy introduced by Schwämmle and Tsallis and obtain its probability distribution in the canonical ensemble. The probability distribution is given in terms of the Lambert W-function which has been used in many branches of physics, especially in fractal structures. Also, extensivity of Sq,q′ is discussed and a relationship is found to exist between the probabilities of a composite system and its subsystems so that the two-parameter entropy, Sq,q′, is extensive.

Suggested Citation

  • Asgarani, Somayeh & Mirza, Behrouz, 2008. "Probability distribution of (Schwämmle and Tsallis) two-parameter entropies and the Lambert W-function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(25), pages 6277-6283.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:25:p:6277-6283
    DOI: 10.1016/j.physa.2008.08.005
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    Keywords

    Tsallis entropy; Lambert function;

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