Self-Organized and Chaotic States in Dust-Contaminated Electron-Positron Magnetoplasma with Equilibrium Flows

Nonlinear equations governing the dynamics of low-frequency (in comparison with electron gyro-frequency) electrostatic disturbances in a nonuniform resistive dust-contaminated electron-positron magnetoplasma with equilibrium sheard flow are derived. In the linear limit, a local dispersion relation has been derived and analyzed. On the other hand, in the nonlinear case, the temporal behavior of the nonlinear system can be represented in the form of a 5 × 5 matrix, which is a generalization of Lorenz-Stenflo equations admitting chaotic trajectories. We have also presented a linear stability analysis of a generalized Lorenz-Stenflo system of equations under different approximations. It is also shown that for small magnetic shear and for a nondissipative plasma, a quasi-stationary solution of the mode coupling equations can be represented in the form of counter-rotating vortices. These results would be helpful to understand plasma turbulence and wave phenomena which have frequently been observed in several laboratory and astrophysical plasma systems.