Condensed Matter Seminar: Nonequilibrium Statistical Mechanics of Systems with Long-Range Interactions
Yan Levin, Instituto de Física, UFRGS, Brazil
Systems with unscreened 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 the thermodynamic limit — do not evolve to the usual Boltzmann-Gibbs 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 .
Examples of the application of the theory will be drawn from plasma physics , self-gravitating systems , and 2d fluid dynamics .
 Y. Levin, R. Pakter, F.B, Rizzato, T.N. Teles, and F.P.C. Benetti, Phys. Rep. 535, 1 (2014).
 Y. Levin, R. Pakter and T. N. Telles, Phys. Rev. Lett. 100, 040604 (2008).
 F. P. C. Benetti, A. C. Ribeiro-Teixeira, R. Pakter, and Y. Levin, Phys. Rev. Lett. 113, 100602 (2014).
 R. Pakter and Y. Levin, Phys. Rev. Lett. 121, 020602 (2018).
Event Organizer: Prof. Eran Sela