Phase Transition in the Collisionless Damping Regime for Wave-Particle Interaction
Phase Transition in the Collisionless Damping Regime for Wave-Particle Interaction
Gibbs statistical mechanics is derived for the Hamiltonian system coupling a wave to N particles self-consistently. 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 …