Hostname: page-component-84b7d79bbc-5lx2p Total loading time: 0 Render date: 2024-07-29T03:36:58.525Z Has data issue: false hasContentIssue false
  • English
  • Français

An exact electrostatic shock solution for a collisionless plasma

Published online by Cambridge University Press:  13 March 2009

A. Smith
A. Smith
Affiliation:
Department of Mathematics, University of the West Indies, Jamaica
Get access Rights & Permissions [Opens in a new window]

Abstract

An exact solution to the steady-state Vlasov equations and Poisson's equation for a one-dimensional plasma of electrons and protons is obtained by splitting the energy equation into two integral equations for the trapped particle distributions. This solution has the properties that the number densities and electric potential are moiiotonic functions of space and do most of their changing over a distance of the order of the Debye length for electrons. The distributions are everywhere differentiable in phase space and are Maxwellian-like, and in terms of elementary functions. Evidence is given to support stability for restricted shock strengths.

Type
Research Article
Information
Journal of Plasma Physics , Volume 4 , Issue 3 , September 1970 , pp. 549 - 561
Copyright
Copyright © Cambridge University Press 1970

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCE

Jackson, J. D. 1960 J. Nuci. Energy C4, 391.Google Scholar
Montgomery, D. C. 1960 Phys. Fluids 3, 274.CrossRefGoogle Scholar
Montgomery, D. C. & Joyce, G. 1969 J. Plasma Phys. 3, 1.CrossRefGoogle Scholar
Montgomery, D. C. & Tidman, D. A. 1964 Plasma Kinetic Theory. McGraw-Hill.Google Scholar
Penrose, O. 1960 Phys. Fluids 3, 258.CrossRefGoogle Scholar
Smith, A. 1970 J. Plasma Phys. 4, 511.CrossRefGoogle Scholar