The coherent wave–particle resonance perturbed by turbulence

Abstract

Stochastic fields perturb the evolution of coherent wave–particle resonances. Knowledge of the probabifity distribution obeyed by the trapping parameter places upper limits on the time interval where the noiseless description of the resonance is acceptable. Alternatively, given the interaction time, estimates of the relative intensity of the coherent mode and turbulent fields required for a typical resonance effect to occur are obtained.