Out-of-equilibrium states as statistical equilibria of
an effective dynamics structures
Julien Barre, Freddy Bouchet, Thierry
Dauxois, Stefano Ruffo
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 and wave-particle interaction in a plasma.
Physical Review Letters 89, 110601 (2002).
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