Nonlinear electromagnetic wave equations for superdense magnetized plasmas

TL;DR

This paper derives nonlinear electromagnetic wave equations for superdense magnetized plasmas using quantum hydrodynamics and Maxwell equations, enabling the study of wave phenomena and turbulence in quantum plasma environments.

Contribution

It introduces a set of nonlinear quantum MHD equations incorporating quantum effects like tunneling and spin forces, which were not previously included in classical models.

Findings

Derived nonlinear quantum MHD equations for dense plasmas

Applicable to study electromagnetic wave phenomena in quantum plasmas

Facilitates analysis of wave turbulence and mode coupling in superdense environments

Abstract

By using the quantum hydrodynamic and Maxwell equations, we derive nonlinear electron-magnetohydrodynamic (MHD), Hall-MHD, and dust Hall-MHD equations for dense quantum magnetoplasmas. The nonlinear equations include the electromagnetic, the electron pressure gradient, as well as the quantum electron tunneling and electron spin forces. They are useful for investigating a number of wave phenomena including linear and nonlinear electromagnetic waves, as well as three-dimensional electromagnetic wave turbulence spectra arising from the mode coupling processes in dense magnetoplasmas.