Nonlinear Guiding Center Theory of Perpendicular Diffusion in Dynamical Turbulence

Astronomy and Astrophysics – Astronomy

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Ism: Cosmic Rays, Diffusion, Turbulence

Scientific paper

Recently, a nonlinear theory for perpendicular diffusion of charged particles was presented by Matthaeus and coworkers. This theory is called the Nonlinear Guiding Center (NLGC) theory and provides an integral equation for the perpendicular mean free path. In this paper we consider numerical results of this equation in the case of dynamical turbulence. We consider solutions for two prominent models for dynamical turbulence: the damping model of dynamical turbulence and the random sweeping model. For both models we also use a general power spectrum with an energy, inertial, and dissipation range. In the current paper we also examine the NLGC theory for two different plasma wave dispersion relations, shear Alfvén waves and fast magnetosonic waves. We compare all these numerical results with observational results and with solutions of the magnetostatic dissipationless NLGC theory.

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