Hall Magnetohydrodynamics with Electron Inertia

TL;DR

This paper explores Hall magnetohydrodynamics including electron inertia, revealing a broader range of equilibrium solutions and demonstrating that force-free fields arise from the triple Beltrami condition, highlighting self-organization phenomena.

Contribution

It introduces a comprehensive analysis of equilibrium states in Hall MHD with electron inertia, emphasizing the role of the triple Beltrami condition in force-free fields.

Findings

Wider class of equilibrium solutions identified

Force-free field B - J linked to triple Beltrami condition

Self-organization aspects discussed

Abstract

Hall magnetohydrodynamic (MHD) with electron inertia is considered. A much wider class of equilibrium solutions and the concomitant self-organization aspects are discussed. The force-free field state B - J is shown to be a consequence of the triple Beltrami condition.