Time evolution from linear to nonlinear stages in magnetohydrodynamic parametric instabilities
作者:
M. Hoshino,
M. L. Goldstein,
期刊:
Physics of Fluids B: Plasma Physics
(AIP Available online 1989)
卷期:
Volume 1,
issue 7
页码: 1405-1415
ISSN:0899-8221
年代: 1989
DOI:10.1063/1.858971
出版商: AIP
数据来源: AIP
摘要:
The nonlinear evolution of the magnetohydrodynamic (MHD) parametric instability of wave fluctuations propagating along an unperturbed magnetic field is investigated. Both a magnetohydrodynamic perturbation‐theoretical approach and a nonlinear MHD simulation are used. It is shown that high harmonic waves are rapidly excited by wave–wave coupling, and that the wave spectrum evolves from a state containing a small number of degrees of freedom inkspace to one which contains a large number of degrees of freedom. It is found that the spectral evolution prior to nonlinear saturation is well described by the perturbation theory. During this stage, the ratio of the growth rate of thenth harmonic wave to the linear growth rate of the fundamental wave isn. The nonlinear saturation stage is characterized by a frequency shift of the fundamental wave that destroys the wave–wave resonance condition which, in turn, causes the wave amplitude to cease its growth.
点击下载:
PDF
(1294KB)
返 回