title: Out-of-equilibrium states as statistical equilibria of an effective dynamics in a system with long-range interactions.
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. Nonequilibrium 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, such as two-dimensional incompressible fluids and wave-particle interaction in a plasma.
authors.affiliation: Laboratoire de Physique, UMR-CNRS 5672, ENS Lyon, 46 Allée d'Italie, 69364 Lyon cédex 07, France.
authors.forename: Julien
authors.initials: J
authors.lastname: Barré
authors.forename: Freddy
authors.initials: F
authors.lastname: Bouchet
authors.forename: Thierry
authors.initials: T
authors.lastname: Dauxois
authors.forename: Stefano
authors.initials: S
authors.lastname: Ruffo