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Fractional Transport in Strongly Turbulent Plasmas. | LitMetric

Fractional Transport in Strongly Turbulent Plasmas.

Phys Rev Lett

Department of Applied Mathematics, University of Craiova, RO-1100 Craiova, Romania.

Published: July 2017

AI Article Synopsis

  • - This study investigates how particles gain energy in a turbulent environment filled with current filaments, created through complex 3D simulations of magnetohydrodynamics, without a predefined structure.
  • - Test-particle simulations reveal that the traditional Fokker-Planck equation (FP) fails to accurately capture the unusual transport behavior of particles, which exhibit Levy flights and energy distributions with power-law tails.
  • - The authors propose a fractional transport equation (FTE) as a better model, successfully utilizing simulation data to derive its parameters and demonstrating that it accurately describes the high energy aspects of the particle behavior.

Article Abstract

We analyze statistically the energization of particles in a large scale environment of strong turbulence that is fragmented into a large number of distributed current filaments. The turbulent environment is generated through strongly perturbed, 3D, resistive magnetohydrodynamics simulations, and it emerges naturally from the nonlinear evolution, without a specific reconnection geometry being set up. Based on test-particle simulations, we estimate the transport coefficients in energy space for use in the classical Fokker-Planck (FP) equation, and we show that the latter fails to reproduce the simulation results. The reason is that transport in energy space is highly anomalous (strange), the particles perform Levy flights, and the energy distributions show extended power-law tails. Newly then, we motivate the use and derive the specific form of a fractional transport equation (FTE), we determine its parameters and the order of the fractional derivatives from the simulation data, and we show that the FTE is able to reproduce the high energy part of the simulation data very well. The procedure for determining the FTE parameters also makes clear that it is the analysis of the simulation data that allows us to make the decision whether a classical FP equation or a FTE is appropriate.

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Source
http://dx.doi.org/10.1103/PhysRevLett.119.045101DOI Listing

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