Out-of-equilibrium states as statistical equilibria of an effective dynamics in a system with long-range interactions.
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.
Barré
Julien
J
Laboratoire de Physique, UMR-CNRS 5672, ENS Lyon, 46 Allée d'Italie, 69364 Lyon cédex 07, France.
Bouchet
Freddy
F
Dauxois
Thierry
T
Ruffo
Stefano
S