Constantino Tsallis (Centro Brasileiro de Pesquisas Fisicas, and National Institute of Science and Technology for Complex Systems): From nonlinear statistical mechanics to nonlinear quantum mechanics: many-body systems et al.
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Europe/Budapest
Description
The fascinating and complex world outside simplifying hypothesis such as
ergodicity is hardly tractable, or plainly intractable, within the usual
Boltzmann-‐Gibbs frame, based on the well known additive Boltzmann-
Gibbs-von Neumann-Shannon entropy. Its generalization to nonadditive
entropies and their consistent connections to thermodynamics,
statistical mechanics, stochastic processes, central-limit and large-
deviation approaches, makes many of the usual methods successfully
applicable to a wide class of both few- and many-body complex systems.
This path has shown to be fruitful in dealing -‐ theoretically,
experimentally, observationally and computationally -‐ with many
anomalous physical, astrophysical, cosmological (black holes),
geophysical, chemical, financial, biological systems. The main concepts,
some recent predictions, verifications, and applications (e.g., in the
high-energy experiments of the CMS, ATLAS, ALICE Collaborations at
LHC/CERN), as well as nonlinear quantum-mechanical extensions, will be
presented.
Referenciák:
(i) http://tsallis.cat.cbpf.br/biblio.htm ;
(ii) C. Tsallis, Introduction to Nonextensive Statistical
Mechanics – Approaching a Complex World (Springer, New York, 2009);
(iii) F.D. Nobre, M.A. Rego-Monteiro and C. Tsallis, Phys. Rev. Lett.
106, 140601 (2011)