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Asymmetric diffusion of cosmic rays
Medvedev, Mikhail V. ; Medvedev, Viktor V.
Medvedev, Mikhail V.
Medvedev, Viktor V.
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Abstract
Cosmic ray propagation is diffusive because of pitch angle scattering by waves. We demonstrate
that if the high-amplitude magnetohydrodynamic turbulence with ~ B=hBi 1 is present on top of the
mean field gradient, the diffusion becomes asymmetric. As an example, we consider the vertical
transport of cosmic rays in our Galaxy propagating away from a point-like source. We solve this diffusion
problem analytically using a one-dimensional Markov chain analysis. We obtained that the
cosmic ray density markedly differs from the standard diffusion prediction and has a sizable effect
on their distribution throughout the galaxy. The equation for the continuous limit is also derived,
which shows limitations of the convection-diffusion equation.
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2015-08-26
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AIP Publishing
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Medvedev, M. V., & Medvedev, V. V. (2015). Asymmetric diffusion of cosmic rays. Physics of Plasmas (1994-present), 22(9), 091504.