Stability analysis of linear ion waves leading to nonlinear shock and soliton structures in a dense quantum plasma with strongly coupled ions and degenerate electrons

Abstract

In a quantum plasma with strongly coupled ions and Fermi degenerate electron fluids, features of low frequency wave dispersion and nonlinear electrostatic structure formation are explored. Dynamics of strongly coupled ions is considered through a generalized momentum balance equation over the visco-elastic relaxation time for ion correlations and viscosity of ion fluid through shear. Quantum forces associated with degenerate electron fluid include many-particle effect of exchange-correlations, quantum statistical-pressure and quantum recoil effect. The system supports dispersive shock and soliton structures regulated by the Korteweg-de Vries Burger equation and modified-Korteweg-de Varies equation, respectively which are derived and solved analytically. Only monotonic shock structures are observed for a given value of the Burger factorμ. For solitary structures, the amplitude and width depend upon quantum dispersive effects of electrons.