Field line random walk for non-axisymmetric magnetic fluctuations

Physics

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Scientific paper

The problem of the random walk of magnetic field lines in a turbulent magnetic field is reconsidered for the case of magnetic fluctuations that are non-axisymmetric with respect to the mean magnetic field. This extension is trivial for quasilinear theory and equivalently for the case of onedimensional slab fluctuations. For the general case of transverse fluctuations of arbitrary amplitude the problem is more complex. Here we derive the magnetic field diffusion coefficient for two-component fluctuations, a superposition of slab plus two-dimensional fluctuations that has proven useful for various solar wind applications. Using homogeneity and diffusion approximations and Corrsin's independence hypothesis, we derive non-perturbative, analytic formulae, including closed-form expressions for special cases of interest in the heliospheric transport of charged particles, such as solar modulation of cosmic rays and particle acceleration at a nearly perpendicular shock.

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