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Statistical thermodynamics of temperature anisotropy driven Weibel instabilities

Published online by Cambridge University Press:  13 March 2009

Don S. Lemons  and
D. Winske
Don S. Lemons
Affiliation:
University of California, Los Alaarios Scientific Laboratory, Los Alanios, New Mexico 87545
D. Winske
Affiliation:
Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
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Abstract

A statistical theory of one- and two-dimensional temperature anisotropy driven Weibel instabilities is proposed. The theory is based on a two-temperature canonical distribution and the mean field approximation. It applies to a nonlinear, periodic, charge-neutralized, and collisionless system. Using a partition function formalism, equations of state are derived which predict upper bounds on the magnetic field energy produced by a quasi-static evolution of these instabilities. Theoretical predictions are in good agreement with results from numerical simulations.

Type
Research Article
Information
Journal of Plasma Physics , Volume 23 , Issue 2 , April 1980 , pp. 283 - 293
Copyright
Copyright © Cambridge University Press 1980

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