Microwave instability beyond threshold
- 1 September 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 54 (3) , 2889-2898
- https://doi.org/10.1103/physreve.54.2889
Abstract
Stability of the steady-state bunch distribution described by the Haissinski solution [J. Haissinski, Nuovo Cimento 18B, 72 (1973)] is studied above the threshold of microwave instability. It is shown that instability may lead to a new self-consistent state corresponding to particles trapped in a separatrix of an unstable mode. The free energies of the two solutions are compared. The relaxation oscillations between the new and Haissinski solutions are possible and may be related to the sawtooth instability observed recently in the experiments [P. Krejcik et al., (unpublished)]. © 1996 The American Physical Society.Keywords
This publication has 2 references indexed in Scilit:
- Statistical mechanics of colliding beamsAnnals of Physics, 1985
- Exact longitudinal equilibrium distribution of stored electrons in the presence of self-fieldsIl Nuovo Cimento B (1971-1996), 1973