Protoplanetary disk size under non-ideal magnetohydrodynamics: A general formalism with inclined magnetic field

TL;DR

This paper introduces a new model for protoplanetary disk size that incorporates both vertical and horizontal magnetic fields, addressing the magnetic catastrophe and aligning with observational data.

Contribution

It develops a general formalism considering inclined magnetic fields and non-ideal MHD effects, expanding beyond previous models that only considered aligned fields.

Findings

Proposes a comprehensive model including inclined magnetic fields.

Analyzes effects of vertical and horizontal fields on disk size.

Provides insights into magnetic field influence consistent with observations.

Abstract

Many mechanisms have been proposed to alleviate the magnetic catastrophe, which prevents the Keplerian disk from forming inside a collapsing magnetized core. Such propositions include inclined field and non-ideal magnetohydrodynamics effects, and have been supported with numerical experiments. Models have been formulated for typical disk sizes when a field threads the rotating disk, parallel to the rotation axis, while observations at the core scales do not seem to show evident correlation between the directions of angular momentum and the magnetic field. In the present study, we propose a new model that considers both vertical and horizontal fields and discuss their effects on the protoplanetary disk size.