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Colóquios 2015


Colóquio: Statistical Mechanics of Systems with long-range interactions. Yan Levin
25.08.2015 16.00 h
Anfiteatro Antônio Cabral - Porto Alegre
Colóquios 2015


Systems with long-range forces behave very differently from those in which particles interact through short-range potentials. For systems with short-range interactions, for arbitrary initial conditions, the final stationary state corresponds to the thermodynamic equilibrium and can be described equivalently by either a microcanonical, canonical, or a grand-canonical ensemble. On the other hand, for systems with unscreened long-range forces, equivalence between ensembles breaks down. Isolated long-range interacting systems — in thermodynamic limit — do not evolve to the usual Maxwell-Boltzmann equilibrium, but become trapped in a non-ergodic stationary state which explicitly depends on the initial particle distribution. In this talk, a theoretical framework will be presented which allows us to predict the final stationary state to which a long-range interactioning system will evolve. The theory is able to quantitatively account for both density and velocity distributions in the stationary state, without any adjustable parameters [1,2,3].

[1] Y. Levin, R. Pakter and T. N. Telles, Phys. Rev. Lett. 100, 040604 (2008).

[2] R. Pakter, and Y. Levin, Phys. Rev. Lett. 106, 200603 (2011); F. P. da C. Benetti, T. N. Teles, R. Pakter, and Y. Levin, Phys. Rev. Lett. 108, 140601 (2012); T. N. Teles, F. P. da C. Benetti, R. Pakter, and Y. Levin, Phys.Rev. Lett. 109, 230601 (2012); R. Pakter, B. Marcos, and Y. Levin, Phys. Rev. Lett. 111, 230603 (2013).F. P. C. Benetti, A. C. Ribeiro-Teixeira, R. Pakter, and Y. Levin, Phys. Rev. Lett. 113, 100602 (2014).

[3] Y. Levin, R. Pakter, F.B, Rizzato, T.N. Teles, and F.P.C. Benetti, Phys. Rep. 535, 1 (2014)


Anfiteatro Antônio Cabral
Porto Alegre
Rio Grande do Sul
País: br


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Terça, Dezembro 07, 2021