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

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

2009-11-06

arxiv.org/abs/0911.1263v1

J. Phys.: Conf. Ser. 201 (2010) 012001

Physics

Condensed Matter

Statistical Mechanics

15 pages, 9 figs., to appear in Journal of Physics: Conf.Series (IOP, 2010)

Scientific paper

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.

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