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Towards information theory for q-nonextensive statistics without q-deformed distributions | | Petr Jizba
; Toshihico Arimitsu
; | | Date: |
4 Oct 2005 | | Subject: | Statistical Mechanics; Astrophysics; Mathematical Physics | cond-mat.stat-mech astro-ph math-ph math.MP | | Abstract: | In this paper we extend our recent results [Physica A340 (2004)110] on q-nonextensive statistics with non-Tsallis entropies. In particular, we combine an axiomatics of Renyi 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. | | Source: | arXiv, cond-mat/0510092 | | Services: | Forum | Review | PDF | Favorites | |
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