Magnetized Accretion and Dead Zones in Protostellar Disks

TL;DR

This study models magnetically-active and dead zones in protostellar disks, revealing how their shapes and accretion rates depend on disk parameters, and suggesting dead zone edges are unlikely sites for density bump formation.

Contribution

It provides a detailed analysis of dead zone geometries and accretion dynamics in protostellar disks considering various physical conditions and dust properties.

Findings

Dead zones are mainly defined by ambipolar diffusion.

Density bumps are unlikely to form near dead zone edges.

Accretion rate peaks at the metal freeze-out radius.

Abstract

The edges of magnetically-dead zones in protostellar disks have been proposed as locations where density bumps may arise, trapping planetesimals and helping form planets. Magneto-rotational turbulence in magnetically-active zones provides both accretion of gas on the star and transport of mass to the dead zone. We investigate the location of the magnetically-active regions in a protostellar disk around a solar-type star, varying the disk temperature, surface density profile, and dust-to-gas ratio. We also consider stellar masses between 0.4 and 2 $M_\odot$, with corresponding adjustments in the disk mass and temperature. The dead zone's size and shape are found using the Elsasser number criterion with conductivities including the contributions from ions, electrons, and charged fractal dust aggregates. The charged species' abundances are found using the approach proposed by S. Okuzumi. The dead zone is in most cases defined by the ambipolar diffusion. In our maps, the dead zone takes a variety of shapes, including a fish-tail pointing away from the star and islands located on and off the midplane. The corresponding accretion rates vary with radius, indicating locations where the surface density will increase over time, and others where it will decrease. We show that density bumps do not readily grow near the dead zone's outer edge, independently of the disk parameters and the dust properties. Instead, the accretion rate peaks at the radius where the gas-phase metals freeze out. This could lead to clearing a valley in the surface density, and to a trap for pebbles located just outside the metal freeze-out line.