Colloquium on November 19, 2012

Constantino Tsallis
Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro

Nonadditive entropy and applications in natural, artificial and social complex system

The celebrated Boltzmann-­Gibbs entropy and statistical mechanics are based on hypothesis such as ergodicity and probabilistic (quasi) independence. What can be done when these simplifying hypothesis are not satisfied, which is indeed the case of many natural, artificial and social complex systems? The nonadditive entropy Sq and its associated nonextensive statistical mechanics generalize the standard Boltzmann-Gibbs theory, and provide a theoretical frame for approaching a wide class of such complex systems. Some basic concepts and some recent predictions, verifications and applications will be presented. 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, ed. R.A. Meyers (Springer, Berlin, 2009); (iii) J.S. Andrade Jr., G.F.T. da Silva, A.A. Moreira, F.D. Nobre and E.M.F. Curado, Phys. Rev. Lett. 105, 260601 (2010); (iv) F.D. Nobre, M.A.R. Monteiro and C. Tsallis, Phys. Rev. Lett 106, 140601 (2011); (v) http://tsallis.cat.cbpf.br/biblio.htm