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Diffusion coefficient and Kolmogorov entropy of magnetic field lines

Published online by Cambridge University Press:  13 March 2009

Gaetano Zimbardo ,
Pierluigi Veltri  and
Francesco Malara
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
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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
Information
Journal of Plasma Physics , Volume 32 , Issue 1 , August 1984 , pp. 141 - 158
Copyright
Copyright © Cambridge University Press 1984

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