Abstract

Raman scattering instability (RSI) is investigated in a magnetized quantum electron–ion plasma by applying the separate spin evolution-quantum hydrodynamic (SSE-QHD) model. The governing differential equations of large amplitude transverse electromagnetic waves (TEM) and electron plasma waves (EP) are derived in spin polarization effect. The nonlinear interaction of spin polarized TEM and EP waves is studied by using the standard technique of phasor matching to formulate general dispersion relation of RSI, which admits both three-wave decay and modulational instabilities. It is found that the growth rates of the obtained instabilities are a strong function of amplitude of TEM and quantum effects such as Bohm potential, electron spin effect and spin dependence Coulomb exchange interaction. Here, the growth rate of three-wave decay instability is found to increase with the increase of spin effect, whereas for oscillatory modulational instability the growth rate is observed to occur at a particular wavelength.

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