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Combinatorial basis and non-asymptotic form of the Tsallis entropy function

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  • R. Niven
  • H. Suyari

Abstract

Using a q-analog of Boltzmann's combinatorial basis of entropy, the non-asymptotic non-degenerate and degenerate combinatorial forms of the Tsallis entropy function are derived. The new measures – supersets of the Tsallis entropy and the non-asymptotic variant of the Shannon entropy – are functions of the probability and degeneracy of each state, the Tsallis parameter q and the number of entities N. The analysis extends the Tsallis entropy concept to systems of small numbers of entities, with implications for the permissible range of q and the role of degeneracy. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Suggested Citation

  • R. Niven & H. Suyari, 2008. "Combinatorial basis and non-asymptotic form of the Tsallis entropy function," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 61(1), pages 75-82, January.
    • Handle: RePEc:spr:eurphb:v:61:y:2008:i:1:p:75-82
    DOI: 10.1140/epjb/e2008-00038-8
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    Cited by:

    1. Papapetrou, M. & Kugiumtzis, D., 2020. "Tsallis conditional mutual information in investigating long range correlation in symbol sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).

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