A linear thermal stability analysis for the vertical structure of alpha model accretion disks

Details A linear thermal stability analysis for the vertical structure of alpha model accretion disks A linear thermal stability analysis for the vertical structure of alpha model accretion disks

May 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...316..716s&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 316, May 15, 1987, p. 716-720.

Astronomy and Astrophysics

Astrophysics

7

Accretion Disks, Dwarf Novae, Stellar Mass Accretion, Thermal Stability, Linear Equations, Stellar Models, Stellar Temperature

Scientific paper

The linear equations that describe the thermal stability of the convective and radiative vertical structure of an alpha model accretion disk are derived. For a specific model chosen to be representative of a dwarf nova disk, it is found that the eigenfunction for the temperature shows large excursions in the zone of partial ionization, but that the eigenfunctions for the unstable fundamental mode perturbations of the vertical distance and flux are nearly constant over the vertical extent of the disk. The growth of any instability is thus nearly homologous and the stability criteria derived for vertically averaged structures represent an adequate approximation.

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