English

Generalised warped disk equations

High Energy Astrophysical Phenomena 2019-04-17 v1

Abstract

The manner in which warps in accretion disks evolve depends on the magnitude of the viscosity. For small viscosity (α<H/R)(\alpha < H/R) the warp evolves in a wave-like manner; for large viscosity H/R<α1H/R<\alpha \ll 1 it evolves diffusively. Here α\alpha is the viscosity parameter and H/RH/R the disk aspect ratio. Currently there is no simple set of equations which describes the evolution in both regimes. In this paper we describe a possible solution to this problem and introduce a set of one-dimensional equations that describe the evolution of a warped disk that are applicable in both high and low viscosity regimes for arbitrary tilts, but small warps.

Keywords

Cite

@article{arxiv.1902.11073,
  title  = {Generalised warped disk equations},
  author = {Rebecca G. Martin and Stephen H. Lubow and J. E. Pringle and Alessia Franchini and Zhaohuan Zhu and Stephen Lepp and Rebecca Nealon and C. J. Nixon and David Vallet},
  journal= {arXiv preprint arXiv:1902.11073},
  year   = {2019}
}

Comments

Accepted for publication in ApJ

R2 v1 2026-06-23T07:54:11.345Z