The stability of the pinch
- 8 July 1958
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 245 (1243), 435-455
- https://doi.org/10.1098/rspa.1958.0094
Abstract
The stability of a cylindrical plasma with an axial magnetic field and confined between conducting walls is investigated by solving, for small oscillations about equilibrium, the linearized Boltzmann and Maxwell equations. A criterion for marginal stability is derived; this differs slightly from the one derived by Rosenbluth from an analysis of the particle orbits. However, Rosenbluth’s principal results on the possibility of stabilizing the pinch under suitable external conditions are confirmed. In the appendix a dispersion relation appropriate for plane hydromagnetic waves in an infinite medium is obtained; this relation discloses under the simplest conditions certain types of instabilities which may occur in plasma physics.Keywords
This publication has 4 references indexed in Scilit:
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- Properties of an lonized gas of low density in a magnetic field. IIIAnnals of Physics, 1957
- Stability of plasmas confined by magnetic fieldsAnnals of Physics, 1957
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