Field Line Random Walk for Non-axisymmetric Magnetic Fluctuations

Physics

Scientific paper

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2104 Cosmic Rays, 2149 Mhd Waves And Turbulence, 7524 Magnetic Fields, 7807 Charged Particle Motion And Acceleration

Scientific paper

The random walk of magnetic field lines in non-axisymmetric 2D+slab turbulence is relevant to the solar modulation of galactic cosmic rays and particle acceleration at a nearly perpendicular shock. Assuming homogeneous turbulence, a diffusive (Gaussian) random walk, and Corrsin's hypothesis, we derive non-perturbative, analytic formulae for any distance along the mean field direction, allowing us to determine where the Gaussian approximation breaks down. The two coupled, quadratic equations for x- and y-diffusion coefficients are evaluated in various limits. One surprising result is that for very anisotropic slab turbulence, the diffusion coefficient in the direction of weak slab turbulence falls below the value for 2D turbulence alone. Partially supported by a Basic Research Grant from the Thailand Research Fund and NASA Sun Earth Connection Theory Program grant NAG 5-8134.

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