dorsal/arxiv
View SchemaPhase transition in the collisionless regime for wave-particle interaction
| Authors | M. -C. Firpo, Y. Elskens |
|---|---|
| Categories | |
| ArXiv ID | physics/0012053 |
| URL | https://arxiv.org/abs/physics/0012053 |
| DOI | 10.1103/PhysRevLett.84.3318 |
| Journal | Phys. Rev. Lett. 84 (2000) 3318-3321 |
Abstract
Gibbs statistical mechanics is derived for the Hamiltonian system coupling self-consistently a wave to N particles. This identifies Landau damping with a regime where a second order phase transition occurs. For nonequilibrium initial data with warm particles, a critical initial wave intensity is found: above it, thermodynamics predicts a finite wave amplitude in the limit of infinite N; below it, the equilibrium amplitude vanishes. Simulations support these predictions providing new insight on the long-time nonlinear fate of the wave due to Landau damping in plasmas.
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"abstract": "Gibbs statistical mechanics is derived for the Hamiltonian system coupling\nself-consistently a wave to N particles. This identifies Landau damping with a\nregime where a second order phase transition occurs. For nonequilibrium initial\ndata with warm particles, a critical initial wave intensity is found: above it,\nthermodynamics predicts a finite wave amplitude in the limit of infinite N;\nbelow it, the equilibrium amplitude vanishes. Simulations support these\npredictions providing new insight on the long-time nonlinear fate of the wave\ndue to Landau damping in plasmas.",
"arxiv_id": "physics/0012053",
"authors": [
"M. -C. Firpo",
"Y. Elskens"
],
"categories": [
"physics.plasm-ph",
"cond-mat.stat-mech",
"math.DS",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.84.3318",
"journal_ref": "Phys. Rev. Lett. 84 (2000) 3318-3321",
"title": "Phase transition in the collisionless regime for wave-particle interaction",
"url": "https://arxiv.org/abs/physics/0012053"
},
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