Beltrami States in 2D Electron Magnetohydrodynamics

TL;DR

This paper develops Hamiltonian and Poisson bracket formulations for 2D electron magnetohydrodynamics (EMHD) flows and derives their Beltrami states, revealing differences from force-free states in the general case.

Contribution

It introduces Hamiltonian and Poisson bracket formulations for 2D EMHD and derives the Beltrami states, highlighting their relation to force-free states.

Findings

Beltrami states derived for 2D EMHD flows

Force-free states are a special case in the massless electron limit

No force-free Beltrami state exists in the general EMHD case

Abstract

In this paper, the Hamiltonian formulations along with the Poisson brackets for two-dimensional (2D) electron magnetohydrodynamics (EMHD) flows are developed. These formulations are used to deduce the Beltrami states for 2D EMHD flows. In the massless electron limit, the EMHD Beltrami states reduce to the force-free states, though there is no force-free Beltrami state in the general EMHD case.