Adiabatic invariant of the non-relativistic particles in the field of a shock wave
Abstract
The asymptotic technique of Krilov and Bogolubov has been used to investigate the motion of charged nonrelativistic particles in the field of an MHD-shock wave. A new adiabatic invariant has been found. For the weakly inhomogeneous field, this coincides with the known one. In the case of a piston shock wave, after transition through a MHD shock front of limited thickness, the energy of the particle should increase according to the rule E-perpendicular/H equals const. In the case of an explosive shock wave, when the rarefaction wave follows the compression wave, the energy of the particle does not change.
- Publication:
-
Journal of Geophysics Zeitschrift Geophysik
- Pub Date:
- 1982
- Bibcode:
- 1982JGZG...51...66C
- Keywords:
-
- Charged Particles;
- Electromagnetic Interactions;
- Magnetohydrodynamic Waves;
- Plasma-Particle Interactions;
- Shock Wave Interaction;
- Adiabatic Conditions;
- Asymptotic Methods