Multicomponent model of the resistive hose instability
Abstract
A new model of beam dynamics is presented for treating the resistive hose instability in intense, self-pinched electron or ion beams. The beam is modeled as a superposition of rigid, independently moving components with different radii. This multicomponent model exhibits the localized resonances and other analytic properties of a Vlasov treatment. The new model is used to calculate the eigenfunctions and the dispersion relation for hose instability of an axially uniform beam propagating in a medium of specified conductivity profile with any specified return current. Wave growth is found to be significantly increased by return current or by a narrow conductivity profile. The results are compared to those of earlier models.
- Publication:
-
Physics of Fluids
- Pub Date:
- August 1982
- DOI:
- 10.1063/1.863923
- Bibcode:
- 1982PhFl...25.1456S
- Keywords:
-
- Electrical Resistance;
- Electron Beams;
- Ion Beams;
- Mathematical Models;
- Plasma Oscillations;
- Plasma-Particle Interactions;
- Controlled Fusion;
- Magnetohydrodynamic Stability;
- Plasma Currents;
- Plasma Pinch;
- Vlasov Equations;
- Plasma Physics