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physics.plasm-ph2000★ 71 cited
Phase transition in the collisionless regime for wave-particle interaction
M. -C. Firpo, Y. Elskens
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 orde…
cond-mat.stat-mech2000★ 1 cited
Asymptotic behaviour for critical slowing-down random walks
Yves Elskens
The jump processes W(t) on [0,\infty[ with transitions w -> alpha w at rate b*w^beta (0 =< alpha =< 1, b>0, beta>0) are considered. Their moments are shown to decay not faster than…