Instabilities in magnetized inhomogeneous plasmas with the effect of recombination

Abstract

The Inhomogeneous plasma with positive ions and electrons in which collisions are taking place is considered. To include the modification due to the magnetized plasma, a static magnetic field B0 is considered to be applied in the z-direction and the wave propagation is taken at an angle θ with it in the (X, Z) plane. The ions are assumed to be cold and singly charged. Fluid equations which take into account the recombination effects are formulated for ions and the electrons. Potential is found from Poisson’s equation using normal mode analysis (NMA) along with linear approximation, neglecting higher order perturbed terms. From Potential equation, dispersion relation is generated which is solved numerically for obtaining the value of ω using typical plasma parameters. The behavior of growth rate with magnetic field, propagation angle, recombination constant along with different plasma oscillation wavelength to Debye length ratio (λ / λDe) has been studied. Two types of instabilities has been observed. Both the instabilities showing the same behavior with respect to recombination constant, magnetic field and (λ / λDe) plasma oscillation wavelength to Debye wavelength ratio. But they behave opposite to each other with respect to propagation angle (angle between the magnetic field and the propagation vector).