A Generalized Diffusion Tensor for Fully Anisotropic Diffusion in the Heliospheric Magnetic Field

Physics – Plasma Physics

Scientific paper

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[7807] Space Plasma Physics / Charged Particle Motion And Acceleration, [7833] Space Plasma Physics / Mathematical And Numerical Techniques, [7859] Space Plasma Physics / Transport Processes

Scientific paper

In the description of spatial diffusion of cosmic rays in weakly turbulent magnetic fields, one can in principle distinguish up to three distinct diffusion directions. The diffusion is thus regarded in this case to be fully anisotropic. For the transport of energetic electrons from Jupiter this has already been shown to be of significance. I will present details of a generalized method to transform the local diffusion tensor to a global reference frame without assuming a given external symmetry, like the radial solar wind direction in the heliospheric setup. The resulting differences in the elements of the global diffusion tensor are illustrated for models of the heliospheric magnetic field. New modulation spectra for the cosmic ray protons are calculated for this diffusion model by employing a numerical model of stochastic differential equations.

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