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

Julien Barre'·Freddy Bouchet·Thierry Dauxois·Stefano Ruffo
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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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Julien Barre', Freddy Bouchet, Thierry Dauxois, Stefano Ruffo. 2002-08-29. Out-of-equilibrium states as statistical equilibria of an effective dynamics. https://doi.org/10.1103/physrevlett.89.110601

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