Abstract
It is shown that the interaction of charged particles with localized, coherent, electrostatic wave packets can be described by a diffusion model, provided that the modes of each wave packet overlap. A theoretical model for the diffusion coefficient is proposed that takes into account the existence of large adiabatic islands, embedded within stochastic regions of the phase space. The model is based on the observation that particles in the stochastic regions interact independently with each wave packet, and consequently a time-localized diffusion model can be used. Solutions of the diffusion equation, which use theoretical values for the diffusion coefficient, give very good predictions of the temporal evolution of the particle distribution functions and kinetic energy.
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