Infinite-order perturbation theories of Vlasov turbulence are developed to obtain a renormalized formulation of the mode coupling and quasilinear equations for current-driven ion-acoustic turbulence. The renormalized theory eliminates divergence problems from nonlinear electron interactions and predicts an ion acceleration mechanism producing substantial ion tails at tωₚᵢ~50 from initially cold-ion distributions. Time-dependent numerical solutions of the turbulence equations are presented, and comparisons are drawn from experiments and computer simulation.
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Horton et al. (1976) studied this question.
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