Physics
Scientific paper
Sep 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993jgr....9815561g&link_type=abstract
Journal of Geophysical Research (ISSN 0148-0227), vol. 98, no. A9, p. 15,561-15,570.
Physics
27
Circular Polarization, Magnetohydrodynamic Stability, Magnetohydrodynamic Waves, Propagation Modes, Magnetohydrodynamic Turbulence, Mathematical Models, Wave Propagation
Scientific paper
The growth of parametric instabilities, which may lead to the development of a turbulent cascade, is studied using an MHD code that permits nonlinear couplings in the parallel direction to the ambient magnetic field and one perpendicular direction. Compressibility is included in the form of a polytropic equation of state. Parametric instabilities associated with a parallel-propagating decay instability are found to dominate the low-beta case. An obliquely propagating filamentationlike instability dominates the high-beta case. The nonlinear growth of the nth harmonic of a daughter wave growing as a factor of n times the fundamental's growth rate is found in both cases. Nonlinear saturation is caused by the parallel decay instability in the low-beta case and by the oblique filamentationlike instability in the high-beta case.
Ghosh Sabyasachi
Goldstein Michel L.
Viñas Adolfo F.
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