Upper hybrid solitons and oscillating-two-steam instabilities
A warm two-fluid theory of soliton formation near the upper-hybrid frequency is developed. Several forms of the nonlinear Schroedinger equation are obtained, depending on whether the electric field is completely perpendicular to the dc magnetic field or whether it has an additional small component parallel to the magnetic field. For the perpendicular case, the character of the soliton depends on its scale length, L, and on $beta$. For low $beta$, when L is less than c/$omega$/sub pe/, one finds stationary envelope and hole solitons, whereas when L is greater than c/$omega$/sub pi/ we obtain the super-Alfvenic solitons described by Kaufman and Stenflow by MHD theory. However, the case E/sub parallel/ not equal to 0 may be of more interest, since it couples the pump to the excited waves more efficiently. In the limit of linearization about an infinite wavelength pump, the nonlinear Schroedinger equations yield purely growing (oscillating-two-stream) instabilities in both cases. (auth)
- Research Organization:
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- DOE Contract Number:
- E(11-1)-3073
- NSA Number:
- NSA-33-019893
- OSTI ID:
- 4085638
- Report Number(s):
- MATT-1157
- Resource Relation:
- Other Information: Orig. Receipt Date: 30-JUN-76
- Country of Publication:
- United States
- Language:
- English
Similar Records
Theory and observations of Alfven solitons in the finite-beta magnetospheric plasma
Evolution of Alfvenic wave envelopes in spin-1/2 quantum Hall-magnetohydrodynamic plasmas
Related Subjects
N70900 -Physics-Controlled Thermonuclear Research-Wave Phenomena
700107* -Fusion Energy-Plasma Research-Plasma Instabilities
*PLASMA MICROINSTABILITIES- TWO-STREAM INSTABILITY
*PLASMA WAVES- SOLITONS
HYBRID RESONANCE
MAGNETIC FIELDS
NONLINEAR PROBLEMS
SCHROEDINGER EQUATION