A Stochastic Differential Equation Approach to Cosmic Ray Transport

Physics

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Scientific paper

Transport of cosmic rays in turbulent magnetic fields of interplanetary medium is most likely a diffusion process. The variation of cosmic ray distribution function obeys the Parker transport equation, which belongs to the category of Fokker--Planck equation. In this paper, we show how to use stochastic differential equations to solve Fokker--Planck equation with a method of Monte Carlo simulation. Advantages of this approach in seeking the physics of particle transport, particularly to problems in higher dimensions, are demonstrated.

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