Thursday, February 9, 2012

1202.1810 (Fernanda P. da C. Benetti et al.)

Ergodicity Breaking and Parametric Resonances in Systems with Long-Range
Interactions
   [PDF]

Fernanda P. da C. Benetti, Tarcísio N. Teles, Renato Pakter, Yan Levin
We explore the mechanism responsible for the ergodicity breaking in systems
with long-range forces. In thermodynamic limit such systems do not evolve to
the Boltzmann-Gibbs equilibrium, but become trapped in an out-of-equilibrium
quasi-stationary-state. Nevertheless, we show that if the initial distribution
satisfies a specific constraint - a generalized virial condition - the quasi-
stationary-state is very close to ergodic and can be described by Lynden-Bell
statistics. On the other hand if the generalized virial condition is violated,
parametric resonances are excited, leading to chaos and ergodicity breaking.
View original: http://arxiv.org/abs/1202.1810

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