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.
Out-of-equilibrium states as statistical equilibria of an effective dynamics in a system with long-range interactions / Barre, ; J., Bouchet; Dauxois, T.; Ruffo, S.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 89:11(2002). [10.1103/PhysRevLett.89.110601]
Out-of-equilibrium states as statistical equilibria of an effective dynamics in a system with long-range interactions
Ruffo, S.
2002-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.