The effect of multi-species plasma on the modulation instability of obliquely propagating dust ion acoustic waves

Abstract

Using the reductive perturbation method, we obtained a nonlinear Schrödinger equation to study the modulational instability of dust ion acoustic waves propagating obliquely to the direction of the uniform static magnetic field in a magnetized five component plasma system composed of warm adiabatic ions, nonthermal positrons, static dust grains, nonthermal electrons (hot), and isothermal electrons (cold). By obtaining the nonlinear dispersion relation of the modulated dust ion acoustic wave, the effect of different species involved in the system has been studied to the instability regions in the parameter plane. The instability region grows with the isothermal to nonthermal electron number density ratio. For a certain range of increasing values of the ion cyclotron frequency, the stable region increases. The instability region also grows with the nonthermal parameter of the energetic hot electrons. As the ratio of isothermal electron to nonthermal electron number density increases, the maximum modulational growth rate of instability experiences a decline. The maximal modulational growth rate of instability’s zone of existence grows as the positrons’ nonthermal parameter rises. A rise in the ratio of positron to nonthermal electron temperature results in a maximum modulational growth rate of instability.