Hall MHD waves: A fundamental departure from their MHD counterparts

TL;DR

This paper demonstrates that Hall MHD waves fundamentally differ from standard MHD waves, introducing new wave branches and polarization characteristics due to Hall current effects.

Contribution

It provides a succinct derivation showing how Hall current modifies the MHD wave spectrum and introduces a new circularly polarized wave branch.

Findings

Hall MHD waves differ fundamentally from MHD waves.

Hall current induces a new wave branch with circular polarization.

The new wave branch may serve as shear waves.

Abstract

It is demonstrated through a succinct derivation as to how the linear waves in Hall magnetohydrodynamics (HMHD) constitute a fundamental departure from the standard MHD waves. Apart from modifying the conventional MHD spectrum, the Hall current induces a distinct and new branch consisting of purely circularly polarized waves that may become the representative shear waves.