Instabilities of Ion Sound Wave Due to Density and Temperature Gradients in the Presence of \(\vec{F} \times \vec{B}\) Drift Wave Turbulence

This study focusses on nonlinear up-conversion mechanism in wave energy to predict ion-sound wave instability in an inhomogeneous plasma where density and temperature gradients are present. Plasma inhomogeneity supports drift waves due to the \(\vec{F} \times \vec{B}\) drift of particles. F is the external force arising due to the gradients. Drift wave turbulence interacts with ion-sound waves through a wave energy up-conversion process. A modified Maxwellian distribution function is used to describe the wave interaction, which involves gradient parameters of inhomogeneous plasma. The wave interaction process is characterized by the Vlasov-Poisson system of equations. Prediction of ion-sound instabilities is done after estimating the growth rate from the nonlinear dispersion of ion-sound waves in the presence of drift wave turbulence.