Invariant for a Particle Interacting with an Electrostatic Wave in a Magnetic Field
- 10 November 1975
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 35 (19), 1306-1307
- https://doi.org/10.1103/PhysRevLett.35.1306
Abstract
A particle moving in a uniform magnetic field is in resonance with an electrostatic plasma wave for an infinite sequence of parallel velocities. Consequently simple perturbation theory breaks down even if the wave amplitude is small. However a technique for calculating invariants in the presence of multiple resonances can be applied and yields results in remarkable agreement with recently published numerical orbit calculations.Keywords
This publication has 4 references indexed in Scilit:
- Stochastic Acceleration by a Single Wave in a Magnetic FieldPhysical Review Letters, 1975
- Amplitude Instability and Ergodic Behavior for Conservative Nonlinear Oscillator SystemsPhysical Review B, 1969
- Invariants in the Motion of a Charged Particle in a Spatially Modulated Magnetic FieldJournal of Mathematical Physics, 1968
- Destruction of magnetic surfaces by magnetic field irregularitiesNuclear Fusion, 1966