Out-of-Equilibrium States as Statistical Equilibria of an Effective Dynamics in a System with Long-Range Interactions

Julien Barré; Freddy Bouchet; Thierry Dauxois; Stefano Ruffo

doi:10.1103/PhysRevLett.89.110601

Out-of-Equilibrium States as Statistical Equilibria of an Effective Dynamics in a System with Long-Range Interactions

Julien Barré
, Freddy Bouchet
, Thierry Dauxois
, Stefano Ruffo

Ecole Normale Supérieure de Lyon
University of Florence

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Journal	Physical Review Letters
Volume	89
Issue number	11
DOIs	https://doi.org/10.1103/PhysRevLett.89.110601
Publication status	Published - 1 Jan 2002
Externally published	Yes

Access to Document

10.1103/PhysRevLett.89.110601

Cite this

@article{6b7b9af35a4b4cbab69e5187ce54f304,

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.",

author = "Julien Barr{\'e} and Freddy Bouchet and Thierry Dauxois and Stefano Ruffo",

year = "2002",

month = jan,

day = "1",

doi = "10.1103/PhysRevLett.89.110601",

language = "English",

volume = "89",

journal = "Physical Review Letters",

issn = "0031-9007",

number = "11",

}

TY - JOUR

T1 - Out-of-Equilibrium States as Statistical Equilibria of an Effective Dynamics in a System with Long-Range Interactions

AU - Barré, Julien

AU - Bouchet, Freddy

AU - Dauxois, Thierry

AU - Ruffo, Stefano

PY - 2002/1/1

Y1 - 2002/1/1

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevLett.89.110601

DO - 10.1103/PhysRevLett.89.110601

M3 - Article

AN - SCOPUS:45849154854

SN - 0031-9007

VL - 89

JO - Physical Review Letters

JF - Physical Review Letters

IS - 11

ER -

Out-of-Equilibrium States as Statistical Equilibria of an Effective Dynamics in a System with Long-Range Interactions

Abstract

Access to Document

Fingerprint

Cite this