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Diffusion coefficient and Kolmogorov entropy of magnetic field lines

Published online by Cambridge University Press:  13 March 2009

Gaetano Zimbardo
Affiliation:
Dipartimento di Fisica, Università della Calabria, 87100 Cosenza, Italy
Pierluigi Veltri
Affiliation:
Dipartimento di Fisica, Università della Calabria, 87100 Cosenza, Italy
Francesco Malara
Affiliation:
Dipartimento di Fisica, Università della Calabria, 87100 Cosenza, Italy

Abstract

A diffusion equation for magnetic field lines of force in a turbulent magnetic field, which describes both the random walk of a single field line and how two nearby lines separate from each other, has been obtained using standard statistical techniques. Starting from such an equation, a closed set of equations for the moments may be obtained, in general, with suitable assumptions. From such a set of equations the Kolmogorov entropy may be explicitly calculated. The results have been applied to the most interesting examples of magnetic field geometries.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1984

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