Ion beam driven instabilities in unmagnetized and strongly magnetized plasmas

In this paper, the dissipative instabilities in the interaction of an ion beam with unmagnetized and strongly magnetized plasmas are investigated. In both cases, relevant dispersion equations of high-frequency and ion acoustic waves are obtained. In addition, the resonance frequencies and growth rates of the instabilities are derived. It is shown that the thermal motion of charged particles has positive effects on the resonance frequency but its influence on the growth rate of an instability depends on the plasma conditions. Although in all cases the collisions are found to have a stabilizing effect, it is shown that the dominant type of collisions (electron-neutral or ion-neutral collisions) depends on the frequency range. It is also indicated that the resonance frequency and the growth rate of an instability in the unmagnetized plasma is higher than in the strongly magnetized plasma for non-zero propagation angles.