Todos os Eventos

Seminário de Mecânica Estatística

O seminário de Mecânica Estatística será apresentado na próxima segunda-feira, 06/06/2016, às 11:00h, na sala A5-01 do Instituto de Física.

Título: From Boltzmann-Gibbs statistics to Tsallis statistics: Case study for Dynamical Systems

Apresentador: Ugur TIRNAKLI (Ege University, Turquia)

Resumo:
As well known, Boltzmann-Gibbs statistics is the correct way of
thermostatistically approaching ergodic systems. On the other hand,
nontrivial ergodicity breakdown and strong correlations typically
drag the system into out-of-equilibrium states where Boltzmann-Gibbs
statistics fails. For a wide class of such systems, it has been shown
in recent years that the correct approach is to use Tsallis statistics
instead. Here we show how the dynamics of the paradigmatic conservative
(area-preserving) standard map exhibits, in an exceptionally clear
manner, the crossing from one statistics to the other. Our results unambiguously
illustrate the domains of validity of both Boltzmann-Gibbs and Tsallis
statistics. Since various important physical systems can be reduced to
conservative low-dimensional maps, our results are expected to enlighten
and enable an improved interpretation of diverse experimental and observational results.