Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-25T16:38:10.639Z Has data issue: false hasContentIssue false
  • English
  • Français

The Bennett pinch for non-relativistic electrons

Published online by Cambridge University Press:  26 November 2018

J. E. Allen  and
L. Simons
J. E. Allen
Affiliation:
Blackett Laboratory, Imperial College, London SW7 2AZ, UK OCIAM, Mathematical Institute, Oxford OX2 6GG, UK University College, Oxford OX1 4BH, UK
L. Simons*
Affiliation:
Blackett Laboratory, Imperial College, London SW7 2AZ, UK
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

A theory of the Bennett pinch is presented for the case of non-relativistic electrons. In this way the basic physics of the phenomenon can be clearly demonstrated. The magnetic force acting on the electrons is transmitted to the positive ions via an electrostatic field.

Keywords

Plasma devicesplasma properties
Type
Research Article
Information
Journal of Plasma Physics , Volume 84 , Issue 6 , December 2018 , 905840609
Copyright
© Cambridge University Press 2018 

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

Alfvén, H. 1972 Plasma Physics, Space research and the origin of the solar system. In Nobel Lectures, Physics. Elsevier.Google Scholar
Allen, J. E. 1983 A paradox re-examined. Eur. J. Phys. 4 (3), 184–185.Google Scholar
Allen, J. E. 2010 The Bennett pinch revisited. P4.181. In 37th E.P.S. Conference on Plasma Physics, E.C.A., 34A.Google Scholar
Bennett, W. H. 1934 Magnetically self-focussing streams. Phys. Rev. 45 (12), 890–897.Google Scholar
Bittencourt, J. A. 2004 Fundamentals of Plasma Physics, 3rd edn. Springer.Google Scholar
Thonemann, P. C. & Cowhig, W. T. 1950 The role of the self magnetic field in high current gas discharges. Proc. Phys. Soc. B 64, 345.Google Scholar