Parametric instabilities of the circularly polarized Alfven waves including dispersion

Details Parametric instabilities of the circularly polarized Alfven waves including dispersion Parametric instabilities of the circularly polarized Alfven waves including dispersion

May 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986jgr....91.5617w&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 91, May 1, 1986, p. 5617-5628.

Computer Science

Sound

96

Circular Polarization, Magnetohydrodynamic Waves, Solar Wind, Space Plasmas, Wave Dispersion, Computerized Simulation, Ion Beams, Magnetohydrodynamic Stability, Shock Wave Propagation, Wave Equations

Scientific paper

A class of parametric instabilities of large-amplitude, circularly polarized Alfven waves is considered in which finite frequency (dispersive) effects are included. The dispersion equation governing the instabilities is a sixth-order polynomial which is solved numerically. As a function of K identically equal to k/k-sub-0 (where k-sub-0 and k are the wave number of the 'pump' wave and unstable sound wave, respectively), there are three regionals of instability: a modulation instability at K less than 1, a decay instability at K greater than 1, and a relatively weak and narrow instability at K close to squared divided by v-sub-A squared (where c-sub-s and v-sub-A are the sound and Alfven speeds respectively), the modulational instability occurs when beta is less than 1 (more than 1) for left-hand (right-hand) pump waves, in agreement with the previous results of Sakai and Sonnerup (1983). The growth rate of the decay instability of left-hand waves is greater than the modulational instability at all values of beta. Applications to large-amplitude wave observed in the solar wind, in computer simulations, and in the vicinity of planetary and interplanetary collisionless shocks are discussed.

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