Renormalization of the Wave-Particle Interaction in Weakly Turbulent Plasmas

Abstract

Partial summation of the perturbation terms is carried out by renormalizing the propagator of the nonlinear Vlasov equation. The present analysis of the renormalization procedure clarifies the importance of taking into account not only the most secular terms, but also the dominant parts of the secondary most secular terms. It also accomplishes nontrivial generalization of the previous results of Dupree and Weinstock on the modification of the wave-particle interaction.