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

R. Niven () and H. Suyari

The European Physical Journal B: Condensed Matter and Complex Systems, 2008, vol. 61, issue 1, 75-82

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

Keywords: 02.30.-f Function theory; analysis; 02.50.Cw Probability theory; 05.20.-y Classical statistical mechanics; 05.90.+m Other topics in statistical physics; thermodynamics; and nonlinear dynamical systems (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (1)

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DOI: 10.1140/epjb/e2008-00038-8

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