Non-diffusive transport in plasma turbulence: a fractional diffusion approach

Details Non-diffusive transport in plasma turbulence: a fractional diffusion approach Non-diffusive transport in plasma turbulence: a fractional diffusion approach

2004-03-04

arxiv.org/abs/physics/0403039v1

Physical Review Letters 94, 065003 (2005)

Physics

Plasma Physics

Scientific paper

10.1103/PhysRevLett.94.065003

Numerical evidence of non-diffusive transport in three-dimensional, resistive pressure-gradient-driven plasma turbulence is presented. It is shown that the probability density function (pdf) of test particles' radial displacements is strongly non-Gaussian and exhibits algebraic decaying tails. To model these results we propose a macroscopic transport model for the pdf based on the use of fractional derivatives in space and time, that incorporate in a unified way space-time non-locality (non-Fickian transport), non-Gaussianity, and non-diffusive scaling. The fractional diffusion model reproduces the shape, and space-time scaling of the non-Gaussian pdf of turbulent transport calculations. The model also reproduces the observed super-diffusive scaling.

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