Modulational Stability Analysis of Ion Temperature Gradient Mode in Electron-ion Plasma

Abstract

A theoretical investigation of the modulational stability of the ion temperature gradient (ITG) mode in electron–ion plasma is presented. To examine linear features of dynamic species in plasma, we used reduction perturbation to solve Braginskii’s transportation equations and get phase and group velocities. The results reveal that ion species velocities are affected by plasma factors such as ion temperature, density, and ion temperature gradient coefficient, among others. We also find a nonlinear Schrodinger equation. This equation shows that the plasma dynamics depends on the coefficients of nonlinearity and dissipation of the nonlinear Schrodinger equation. These coefficients are strongly related to the plasma variables. The present investigation may be helpful in space and laboratory plasma, e.g., fusion confinement devices.