Effects of bohm potentials and fermi temperatures on nonplanar solitary and shock excitations in a strongly-coupled quantum plasma

Abstract

An exhaustive theoretical investigation considering nonplanar geometry (cylindrical and spherical) in an unmagnetized, collisionless, strongly-coupled quantum electron-positron-ion (EPI) plasma (composed of viscous, positively-charged inertial heavy ion fluids, Fermi electrons and positrons) has been carried out on the nonlinear propagation of the ion-acoustic (IA) waves. The generalized quantum hydrodynamic model using the reductive perturbation method has been utilized to derive the Korteweg-de Vries (K-dV) and Burgers equations. The basic features (e.g., phase speed, amplitude, and width) of the IA solitary and shock waves are identified by analyzing the stationary solitary and shock wave solutions of the K-dV and Burgers equations, respectively. The basic characteristics of the IA nonlinear structures are found to be significantly modified by the ratio of the Fermi temperatures of positrons to electrons, the Fermi pressures of electrons and positrons, the plasma particle number densities, etc.. The results of this theoretical investigation may be useful in studying the IA waves propagating in both astrophysical and laboratory EPI plasmas (viz. white dwarfs, super-intense laser-dense matter experiments, etc.).