Exact Nonlinear Excitations in Double-Degenerate Plasmas

TL;DR

This paper derives exact nonlinear ion-acoustic wave solutions in double-degenerate magnetized quantum plasmas using hydrodynamics and pseudopotential methods, with applications to dense astrophysical objects like white dwarfs.

Contribution

It introduces an exact pseudopotential approach for nonlinear waves in double-degenerate plasmas considering anisotropy and diverse plasma parameters.

Findings

Derived Mach-number range criteria for localized structures.

Identified plasma parameters affecting wave stability.

Applicable to dense astrophysical environments like white dwarfs.

Abstract

In this work we use the conventional hydrodynamics (HD) formalism and incorporate the Chew-Goldberger-Low (CGL) double-adiabatic theory to evaluate the nonlinear electrostatic ion excitations in double-degenerate (electron spin-orbit degenerate) magnetized quantum plasmas. Based on the Sagdeev pseudopotential method an exact general pseudopotential is calculated which leads to the allowed Mach-number range criteria for such localized density structures in an anisotropic magnetized plasma. We employ the criteria on the Mach-number range for diverse magnetized quantums plasma with different equations of state (EoS). It is remarked that various plasma fractional parameters such as the system dimensionality, ion-temperature, relativistic-degeneracy, Zeeman-energy, and plasma composition are involved in the stability of an obliquely propagating nonlinear ion-acoustic wave in a double-degenerate quantum plasma. Current study is most appropriate for nonlinear wave analysis in the dense astrophysical magnetized plasma environments such as white-dwarfs and neutron-star crusts where the strong magnetic fields can be present.