Nonadditive entropy and applications in natural, artificial and social complex systems
by
Constantino Tsallis(CBPF, Rio de Janeiro)
→
Europe/Stockholm
122:026
122:026
Description
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.
(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
