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.
