Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
975849 | Physica A: Statistical Mechanics and its Applications | 2006 | 9 Pages |
Abstract
In this paper we extend our recent results [P. Jizba, T. Arimitsu Physica A 340 (2004) 110] on q-nonextensive statistics with non-Tsallis entropies. In particular, we combine an axiomatics of Rényi with the q-deformed version of Khinchin axioms to obtain the entropy which accounts both for systems with embedded self-similarity and q-nonextensivity. We find that this entropy can be uniquely solved in terms of a one-parameter family of information measures. The corresponding entropy maximizer is expressible via a special function known under the name of the Lambert W-function. We analyze the corresponding “high” and “low-temperature” asymptotics and make some remarks on the possible applications.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Petr Jizba, Toshihico Arimitsu,