Framework of parametric instabilities in the presence of space-time fluctuations in homogeneous and inhomogenous plasmas. I. Theory
Journal Article
·
· Phys. Fluids; (United States)
The problem of parametric instabilities in the presence of space-time fluctuation in homogeneous or inhomogeneous plasmas can be cast into the problem of finding an effective Hamiltonian H/sub eff/ of the linear stochastic equation. For the Kubo--Anderson--random-phase model (RPM) (J. Math. Phys. 15, 524 (1974); Phys. Rev. Lett. 29, 565 (1972); J. Phys. Soc. Jpn. 9, 316 (1954)), H/sub eff/ is generally found to be of the form H/sub 0/+..delta omega..H/sub 1/, where H/sub 0/ represents all the coherent effects and ..delta omega..H/sub 1/ represents the finite bandwidth modification. It is shown that H/sub 1/ is a trivial constant matrix for all parametric processes. A method called frame transformation is introduced to treat all kinds of group velocities in a unified fashion. The theory can be used to calculate average amplitude as well as average power. Importantly, the theory is not limited to wide bandwidths.
- Research Organization:
- Laboratory for Plasma Research, University of Maryland, College Park, Maryland 20742
- OSTI ID:
- 7030183
- Journal Information:
- Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 31:11; ISSN PFLDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107 -- Fusion Energy-- Plasma Research-- Instabilities
700108* -- Fusion Energy-- Plasma Research-- Wave Phenomena
ELECTROMAGNETIC RADIATION
EQUATIONS
FLUCTUATIONS
HAMILTONIANS
HOMOGENEOUS PLASMA
INHOMOGENEOUS PLASMA
INSTABILITY
INSTABILITY GROWTH RATES
KINETIC EQUATIONS
LASER-PRODUCED PLASMA
MATHEMATICAL OPERATORS
PARAMETRIC INSTABILITIES
PLASMA
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
PLASMA WAVES
PUMPING
QUANTUM OPERATORS
RADIATIONS
VARIATIONS
WAVE PROPAGATION
WKB APPROXIMATION
700107 -- Fusion Energy-- Plasma Research-- Instabilities
700108* -- Fusion Energy-- Plasma Research-- Wave Phenomena
ELECTROMAGNETIC RADIATION
EQUATIONS
FLUCTUATIONS
HAMILTONIANS
HOMOGENEOUS PLASMA
INHOMOGENEOUS PLASMA
INSTABILITY
INSTABILITY GROWTH RATES
KINETIC EQUATIONS
LASER-PRODUCED PLASMA
MATHEMATICAL OPERATORS
PARAMETRIC INSTABILITIES
PLASMA
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
PLASMA WAVES
PUMPING
QUANTUM OPERATORS
RADIATIONS
VARIATIONS
WAVE PROPAGATION
WKB APPROXIMATION