Evolutionary conditions for shock waves in collisionless plasma and stability of the associated flow
- 1 August 1968
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Plasma Physics
- Vol. 2 (3) , 449-463
- https://doi.org/10.1017/s0022377800003937
Abstract
The evolutionary condition for transverse and normal shock waves, and the fire- hose and mirror instability conditions for the associated flow, in a collisionless, anisotropic plasma having a strong magnetic field are determined using the theoretical representation of Chew, Goldberger & Low (1956) for such a medium. The results are expressed in terms of the Mach number, Alfvén Mach number, and the ratio of the temperatures parallel and perpendicular to the magnetic field in the flow approaching the shock wave, and applied to ascertain in what range of these parameters various types of instabilities may occur. The effect of the heat flux, which does not vanish generally in a collisionless plasma, on the shock stability is discussed.Keywords
This publication has 8 references indexed in Scilit:
- Shock jump conditions for an anisotropic plasmaJournal of Plasma Physics, 1967
- Propagation of hydromagnetic waves through an anisotropic plasmaJournal of Plasma Physics, 1967
- Magnetohydrodynamic Shock PolarJournal of the Physics Society Japan, 1966
- Propagation of Hydromagnetic Waves in Collisionless Plasma. IJournal of the Physics Society Japan, 1966
- Finite Gyro-Radius Corrections to the Hydromagnetic Equations for a Vlasov PlasmaPhysics of Fluids, 1965
- Magnetohydrodynamic Shock WavesAmerican Journal of Physics, 1965
- Magnetohydrodynamic Shock WavesPublished by MIT Press ,1963
- The Boltzmann equation an d the one-fluid hydromagnetic equations in the absence of particle collisionsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1956