Roles of degenerate quantum plasma temperature and stationary heavy nucleus species in nucleus-acoustic shock waves

Abstract

The warm degenerate plasma model (on the basis of warm degenerate inertialess electron species, warm dissipative inertial light nucleus species, and stationary heavy nucleus species) is considered. The effects of degenerate plasma temperature and stationary heavy nucleus species on the basic features of cylindrical and spherical nucleus-acoustic shock waves propagating in such a warm degenerate plasma system are investigated. The reductive perturbation method (which is valid for small amplitude shock waves) and special stretched co-ordinates (which corresponds to the omission of the dispersion effect, and is appropriate for the monotonic shock waves) are employed. The kinematic viscous force acting in the light nucleus fluid is the only source of dissipation, and is responsible for the formation of monotonic shock waves. It is observed that the basic features of these monotonic shock waves are significantly modified by the effects of degenerate plasma temperature, ultra-relativistically degenerate electron species, and stationary heavy nucleus species. The applications of this new plasma model (defined by generalized Chandrasekhar equation of state which is also valid for finite temperature) in the cold, as well as hot white dwarfs are addressed.