Computer Science – Sound
Scientific paper
Dec 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003agufmsm31c1129g&link_type=abstract
American Geophysical Union, Fall Meeting 2003, abstract #SM31C-1129
Computer Science
Sound
6984 Waves In Plasma, 7827 Kinetic And Mhd Theory, 7863 Turbulence, 7871 Waves And Instabilities
Scientific paper
We show that in a three-component plasma, e.g., electrons, ions, and negatively charged dust, such that nd << ni ˜ ne, the light components (electrons and ions) can rotate rigidly with a frequency, Ωr=Znd Ωi/ne, where ni,e,d are ion, electron, and dust densities, Z is the dust charge state, and Ω i is the ion gyro-frequency. The origin of this rotation is shown to be due to ni !=q ne, so that there is a current perpendicular to the magnetic field due to ion and electron E x B drift, which induces an electric field in the direction of the current. Hence the plasma is subject to electric forces simultaneously in the two orthogonal directions perpendicular to the magnetic field resulting in a rotation. A new low-frequency resonance at ω =Ω r appears in the MHD limit and affects the dispersion character of the electromagnetic waves. The magnetosonic dispersion relation [ω 2=Ω r2+k2 (VA2+Cs2), where VA and Cs are the Alfven and ion sound speeds] is modified and becomes isomorphic to the electrostatic Langmuir wave dispersion relation. We find that the interaction of the fast rotation time-scale with the slow magnetosonic time-scale can be achieved via ponderomotive force and this could lead to a nonlinear Schrodinger equation for the magnetosonic branch. We also find that it is possible to develop nonlinear structures at very large MHD scales with scale-size L ˜VA/Ωr0 ˜(c/ωpi)(ne/Znd) (ni/ne)1/2, where ωpi is the ion plasma frequency, which could be comparable to astrophysical dimensions. Linear stability and nonlinear structures that could arise in the frequency regime ω ˜Ω r will be discussed along with some space and laboratory applications. *Work supported by NASA and ONR.
Ganguli Gurudas I.
Rudakov Leonid
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