Study of Capillary-Gravity (Surface Jeans) Waves at the Dusty Plasma-Vacuum Interface

Abstract

In this thesis Here surface waves will be investigated for an incompressible magnetized dusty plasma which is in contact with vacuum. For this purpose, Radiative-magnetohydrodynamics (RMHD) along with Maxwell’s equations will be used. This set of equations (RMHD) lead to the dispersion relation of surface Jeans instability where a strong coupling b/w electron surface charge and dust surface mass density has been taken into account. Later on growth rate for radiative surface will be examined. The study has an importance in the astrophysical environment in particular for the study of gravitational collapse. Firstly, we will have the brief intro to dusty plasma, plasma parameters, waves in plasmas. I also will discuss fluid theory description, along RMHD equation. Secondly, I will study the contribution of spin effects to the EM modes propagating in arbitrarily direction in magnetized plasma, and the dispersion relations for EM propagating perpendicular to the external magnetic field B₀ are obtained. Then, I will do the calculations for radiation pressure. Then, I will study the stability criteria of charged surface waves at the dusty plasma--vacuum interface. I will use the (RMHD) model along with the full set of "Maxwell equations.