Phys. Rev. Lett. 89, 110601 (2002) [4 pages]Out-of-Equilibrium States as Statistical Equilibria of an Effective Dynamics in a System with Long-Range InteractionsReceived 18 April 2002; published 26 August 2002 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. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.110601
DOI:
10.1103/PhysRevLett.89.110601
PACS:
05.20.–y, 05.45.–a
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