On the Physical Interpretation of Malyshkin's (2008) Model of Resistive Hall-MHD Reconnection

TL;DR

This paper presents a simplified, physically transparent model of electron current layers in resistive Hall-MHD reconnection, emphasizing resistive drag's role, and recovers key results from prior work efficiently.

Contribution

It introduces a straightforward Sweet--Parker-like model that captures essential physics of collisionless Hall-MHD reconnection, clarifying the role of resistive drag and improving understanding.

Findings

Recovers main results of Malyshkin (2008) efficiently

Highlights the role of resistive drag in electron outflow

Provides a more transparent physical derivation

Abstract

A simple Sweet--Parker-like model for the electron current layer in resistive Hall magnetohydrodynamic (MHD) reconnection is presented, with the focus on the collisionless limit. The derivation readily recovers the main results obtained recently by Malyshkin [PRL, 101, 225001 (2008)] and others, but is much quicker and more physically transparent. In particular, it highlights the role of resistive drag in determining the electron outflow velocity. The principal limitations of any such approach are discussed.