# A Quasi-linear Diffusion Model for Resonant Wave–Particle Instability in Homogeneous Plasma

@article{Jeong2020AQD, title={A Quasi-linear Diffusion Model for Resonant Wave–Particle Instability in Homogeneous Plasma}, author={Seong-Yeop Jeong and Daniel Verscharen and Robert T. Wicks and Andrew N. Fazakerley}, journal={The Astrophysical Journal}, year={2020}, volume={902} }

In this paper, we develop a model to describe the generalized wave–particle instability in a quasi-neutral plasma. We analyze the quasi-linear diffusion equation for particles by expressing an arbitrary unstable and resonant wave mode as a Gaussian wave packet, allowing for an arbitrary direction of propagation with respect to the background magnetic field. We show that the localized energy density of the Gaussian wave packet determines the velocity-space range in which the dominant wave…

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