English

New solution to viscous evolution of accretion disks in binary systems

Astrophysics 2011-05-23 v3

Abstract

Analytical investigation of time-dependent accretion in disks is carried out. We consider a time-dependent disk in a binary system at outburst which has a fixed tidally-truncated outer radius. The standard Shakura-Sunyaev model of the disk is considered. The vertical structure of the disk is accurately described in two regimes of opacity: Thomson and free-free. Fully analytical solutions are obtained, characterized by power-law variations of accretion rate with time. The solutions supply asymptotic description of disk evolution in flaring sources in the periods after outbursts while the disk is fully ionized. The X-ray flux of multicolor (black-body) alpha-disk is obtained as varying quasi-exponentially. Application to X-ray novae is briefly discussed concerning the observed faster-than-power decays of X-ray light curves. The case of time-dependent advective disk when the exponential variations of accretion rate can occur is discussed.

Keywords

Cite

@article{arxiv.astro-ph/0103274,
  title  = {New solution to viscous evolution of accretion disks in binary systems},
  author = {G. V. Lipunova and N. I. Shakura},
  journal= {arXiv preprint arXiv:astro-ph/0103274},
  year   = {2011}
}

Comments

14 pages, 3 figures, typos are corrected in formulae (17),(26),(29),(31),(34),(46)

R2 v1 2026-07-22T07:56:37.050Z