English

Out-of-equilibrium states as statistical equilibria of an effective dynamics

Statistical Mechanics 2009-11-07 v2 Pattern Formation and Solitons

Abstract

We study the formation of coherent structures in a system with long-range interactions where particles moving on a circle interact through a repulsive cosine potential. Non equilibrium structures are shown to correspond to statistical equilibria of an effective dynamics, which is derived using averaging techniques. This simple behavior might be a prototype of others observed in more complicated systems with long-range interactions, like two-dimensional incompressible fluids or self-gravitating systems.

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Cite

@article{arxiv.cond-mat/0204407,
  title  = {Out-of-equilibrium states as statistical equilibria of an effective dynamics},
  author = {Julien Barre' and Freddy Bouchet and Thierry Dauxois and Stefano Ruffo},
  journal= {arXiv preprint arXiv:cond-mat/0204407},
  year   = {2009}
}

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