Universal protoplanetary disk size under complete non-ideal magnetohydrodynamics: The interplay between ion-neutral friction, Hall effect, and the Ohmic dissipation

Abstract

The role of non-ideal magnetohydrodynamics has been proven critical during the formation of the protoplanetary disk, particularly in regulating its size. We provide a simple model to predict the disk size under the interplay among the ambipolar diffusion, the Hall effect, and the Ohmic dissipation. The model predicts a small disk size of around 20 AU, that depends only sub-linearly on disk parameters, for a wide range of initial conditions of sub-Solar mass and moderate magnetization. It is able to explain phenomena manifested in existing numerical simulations, including the bimodal disk behavior under parallel and anti-parallel alignment between the rotation and magnetic field. In the parallel configuration, the disk size decreases and eventually disappears. In the anti-parallel configuration, and the disk has an outer partition (or pseudo-disk) that is flat, shrinking , and short-lived, as well as a inner partition that grows slowly with mass and is long-lived. Even with significant initial magnetization, the vertical field in the disk can only dominate at the early stage when the mass is low, and the toroidal field eventually dominates in all disks.

Accepted for publication in Astrophysical Journal

References in corpus (8)

• Effects of Ohmic and ambipolar diffusion on the formation and evolution of the first cores, protostars and circumstellar discs
• Magnetically self-regulated formation of early protoplanetary discs
• Three-fluid plasmas in star formation II. Momentum transfer rate coefficients
• Ambipolar diffusion in smoothed particle magnetohydrodynamics
• Hall Effect in Protostellar Disc Formation and Evolution
• Fast methods for tracking grain coagulation and ionization. I. Analytic derivation
• Impact of the Hall effect in star formation : improving the angular momentum conservation
• Protoplanetary disk formation from the collapse of a prestellar core

Cited by in corpus (5)

• Protostellar collapse simulations in spherical geometry with dust coagulation and fragmentation
• Towards a population synthesis of discs and planets. II. Confronting disc models and observations at the population level
• Dust evolution during the protostellar collapse: influence on the coupling between the neutral gas and the magnetic field
• On the propagation of Alfvén waves in the dusty interstellar medium. Can we neglect dust inertia in molecular clouds?
• The accretion luminosity of Class I protostars