Combinatorial basis and non-asymptotic form of the Tsallis entropy function
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
Year of publication: |
2008
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Authors: | Niven, R. ; Suyari, H. |
Published in: |
The European Physical Journal B - Condensed Matter and Complex Systems. - Springer. - Vol. 61.2008, 1, p. 75-82
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Publisher: |
Springer |
Subject: | 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 |
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