Speaker
Prof.
Constantino Tsallis
(Centro Brasileiro de Pesquisas Fisicas)
Description
The realm of Boltzmann-Gibbs statistical mechanics, based on the standard additive entropy, essentially concerns ergodic systems, Markovian-like processes, linear Fokker-Planck equations, exponential behaviors of relevant physical, geometrical and dynamical quantities, the central limit theorem. What can be done when such simplifying hypothesis are not satisfied? The nonadditive entropy Sq, and its associated nonextensive statistical mechanics, precisely address a wide class of such anomalous situations, namely whenever power-law behaviors replace the
traditional exponential behaviors. A brief review will be given of the central concepts, and various applications will be exhibited, in particular those concerning high energy physics. BIBLIOGRAPHY: (i) C. Tsallis, Introduction to Nonextensive Statistical Mechanics - Approaching a
Complex World (Springer, New York, 2009); (ii) C. Tsallis, Entropy, in Encyclopedia of Complexity and Systems Science (Springer, Berlin, 2009); (iii) S. Umarov, C. Tsallis, M. Gell-Mann and S. Steinberg, J. Math. Phys. 51, 033502 (2010); (iv) <http://tsallis.cat.cbpf.br/biblio.htm>http://tsallis.cat.cbpf.br/biblio.htm
Primary author
Prof.
Constantino Tsallis
(Centro Brasileiro de Pesquisas Fisicas)
