### Nonadditive entropy and nonextensive statistical mechanics - Some central concepts and recent applicationsNonadditive entropy and nonextensive statistical mechanics - Some central concepts and recent applications

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 Author Tsallis, Constantino ♦ Tirnakli, Ugur Source arXiv.org Content type Text File Format PDF Date of Submission 2009-11-06 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics Subject Keyword Condensed Matter - Statistical Mechanics ♦ physics:cond-mat Abstract We briefly review central concepts concerning nonextensive statistical mechanics, based on the nonadditive entropy $S_q=k\frac{1-\sum_{i}p_i^q}{q-1} (q \in {\cal R}; S_1=-k\sum_{i}p_i \ln p_i)$. Among others, we focus on possible realizations of the $q$-generalized Central Limit Theorem, including at the edge of chaos of the logistic map, and for quasi-stationary states of many-body long-range-interacting Hamiltonian systems. Description Reference: J. Phys.: Conf. Ser. 201 (2010) 012001 Educational Use Research Learning Resource Type Article Page Count 15