Field-line transport in stochastic magnetic fields: Percolation, Lévy flights, and non-Gaussian dynamics

Details Field-line transport in stochastic magnetic fields: Percolation, Lévy flights, and non-Gaussian dynamics Field-line transport in stochastic magnetic fields: Percolation, Lévy flights, and non-Gaussian dynamics

Feb 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995phrve..51.1412z&link_type=abstract

Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 51, Issue 2, February 199

Physics

40

Transport Properties, Stochastic Processes, Magnetohydrodynamics And Plasmas

Scientific paper

The transport of magnetic field lines is studied numerically in the case where strong three-dimensional magnetic fluctuations are superimposed to a uniform average magnetic field. The magnetic percolation of field lines between magnetic islands is found, as well as a non-Gaussian regime where the field lines exhibit Lévy random walks, changing from Lévy flights to trapped motion. Anomalous diffusion laws <Δx2i>~sα with α>1 and α<1 are found for low fluctuation levels, while normal diffusion and Gaussian random walks are recovered for sufficiently high fluctuation levels.

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