Kubo number and magnetic field line diffusion coefficient for anisotropic magnetic turbulence

Physics

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Transport Properties, Stochastic Processes, Magnetohydrodynamics And Plasmas, Nonlinear Dynamics And Chaos

Scientific paper

The magnetic field line diffusion coefficients Dx and Dy are obtained by numerical simulations in the case that all the magnetic turbulence correlation lengths lx, ly, and lz are different. We find that the variety of numerical results can be organized in terms of the Kubo number, the definition of which is extended from R=(δB/B0)(l||/l⊥) to R=(δB/B0)(lz/lx), for lx>=ly. Here, l|| (l⊥) is the correlation length along (perpendicular to) the average field B0=B0e^z. We have anomalous, non-Gaussian transport for R<~0.1, in which case the mean square deviation scales nonlinearly with time. For R>~1 we have several Gaussian regimes: an almost quasilinear regime for 0.1<~R<~1, an intermediate, transition regime for 1<~R<~10, and a percolative regime for R>~10. An analytical form of the diffusion coefficient is proposed, Di=D(δBlz/B0lx)μ(li/lx)νl2x/lz, which well describes the numerical simulation results in the quasilinear, intermediate, and percolative regimes.

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