Studies on Modes in Weakly Relativistic Magnetized Plasmas

TL;DRAbstract

Considering magnetized homogeneous and inhomogeneous plasmas with weakly relativistic ions and electrons we derive the dispersion relations by carrying out the usual mode analysis of the ion and electron fluid equations. In addition, the reductive perturbation technique is employed to derive the expressions for the phase velocities of the modes by using a small dimensionless expansion parameter t for the dependent quantities. Three types of modes in inhomogeneous plasmas and two types of modes in homogeneous plasmas are found to occur and usual mode analysis confirms their acoustic nature. In homogeneous plasmas, the possibility of instability is predicted on the basis of mode analysis. The conditions on modes propagation in the plasmas are achieved and the effects of various parameters on their phase velocities are analyzed. It is suggested that all these modes should be taken into account for the studies on solitons.

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