Formulas for Radial Transport in Protoplanetary Disks

Steven Desch, Paul R. Estrada, Anusha Kalyaan, Jeffrey N. Cuzzi

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

The quantification of the radial transport of gaseous species and solid particles is important to many applications in protoplanetary disk evolution. An especially important example is determining the location of the water snow lines in a disk, which requires computing the rates of outward radial diffusion of water vapor and the inward radial drift of icy particles; however, the application is generalized to evaporation fronts of all volatiles. We review the relevant formulas using a uniform formalism. This uniform treatment is necessary because the literature currently contains at least six mutually exclusive treatments of radial diffusion of gas, only one of which is correct. We derive the radial diffusion equations from first principles using Fick's law. For completeness, we also present the equations for radial transport of particles. These equations may be applied to studies of diffusion of gases and particles in protoplanetary and other accretion disks.

Original languageEnglish (US)
Article number86
JournalAstrophysical Journal
Volume840
Issue number2
DOIs
StatePublished - May 10 2017

Keywords

  • diffusion
  • planets and satellites: formation
  • protoplanetary disks

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

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