Nondiffusive Transport in Plasma Turbulence: A Fractional Diffusion Approach
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- 17 February 2005
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 94 (6), 065003
- https://doi.org/10.1103/physrevlett.94.065003
Abstract
Numerical evidence of nondiffusive transport in three-dimensional, resistive pressure-gradient-driven plasma turbulence is presented. It is shown that the probability density function (pdf) of tracer 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 nonlocality (non-Fickian transport), non-Gaussianity, and nondiffusive 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 superdiffusive scaling.This publication has 13 references indexed in Scilit:
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