Physics – Plasma Physics
Scientific paper
2000-12-21
Phys. Rev. Lett. 84 (2000) 3318-3321
Physics
Plasma Physics
12 pages (RevTeX), 2 figures (PostScript)
Scientific paper
10.1103/PhysRevLett.84.3318
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.
Elskens Yves
Firpo Marie-Christine
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