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Title:
Time-dependent accretion disks around compact objects. I - Theory and basic equations. II - Numerical models and instability of inner region
Authors:
Lightman, A. P.
Affiliation:
AA(California Institute of Technology, Pasadena, Calif.)
Publication:
Astrophysical Journal, vol. 194, Dec. 1, 1974, pt. 1, p. 419-427, 429-437. (ApJ Homepage)
Publication Date:
12/1974
Category:
Astrophysics
Origin:
STI
NASA/STI Keywords:
Binary Stars, Black Holes (Astronomy), Magnetohydrodynamics, Rotating Disks, Stellar Gravitation, Time Dependence, Astronomical Models, Density Distribution, Deposition, Neutron Stars, Nonlinear Equations, Plasma Dynamics, Radiative Transfer, Stellar Evolution, Viscosity, X Ray Sources
DOI:
10.1086/153259
Bibliographic Code:
1974ApJ...194..419L

Abstract

We consider accretion disks around compact stars and black holes, generalizing the stationary disk models of various authors to allow time dependence on the radial-flow time scale. The structure and evolution of the disk are governed by an 'evolution equation' for matter surface density, plus a set of implicit algebraic equations determining various thermodynamic and radiation variables in terms of surface density. The analytic structure of these equations is studied. It is shown that there exists a maximum permissible value of the surface density at which gas and radiation pressure are approximately equal, and beyond which viscosity generates more energy than radiative transport can remove.

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