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Non-turbulent electric fields in soliton and shock-like structures in magnetized plasmas

Published online by Cambridge University Press:  13 March 2009

C. W. Mendel  and
T. P. Wright
C. W. Mendel
Affiliation:
Sandia Laboratories, Albuquerque, New Mexico
T. P. Wright
Affiliation:
Sandia Laboratories, Albuquerque, New Mexico
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Abstract

A new treatment of soliton and laminar shock-like structures in single ion species and counter-streaming plasmas in perpendicular magnetic fields is presented. Charge separation effects are treated exactly, and may become important for high Alfvén Mach number flows. The theory contains the familiar quasi-neutrality theory in the limit B20 ≪ Μ0nmec2 and the Longmire theory in the limit B20 ≫ Μ0nmec2. The introduction of the potential ψ as the primary dependent variable, instead of the magnetic field B, clarifies the role of ion dynamics. New pseudo-potential functions are defined which generate classes of solutions for single ion species, rigid piston problems, and multispecies problems. They also provide information about the evolution of particle piston solutions. Results include the fact that a small amount of resistivity allows shock solutions for very large Mach numbers, and for zero dissipation the parameter

does not affect the solutions except in the scale length.

Type
Research Article
Information
Journal of Plasma Physics , Volume 10 , Issue 1 , August 1973 , pp. 149 - 164
Copyright
Copyright © Cambridge University Press 1973

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