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

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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Submitted on : Sunday, November 20, 2005 - 12:53:09 PM
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Julien Barré, Freddy Bouchet, Thierry Dauxois, Stefano Ruffo. Out-of-equilibrium states as statistical equilibria of an effective dynamics. Physical Review Letters, American Physical Society, 2002, 89, pp.110601. ⟨10.1103/PhysRevLett.89.110601⟩. ⟨hal-00014126⟩

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