Mass transfer from an evolved donor star to its binary companion is a
standard feature of stellar evolution in binaries. In wide binaries, the
companion star captures some of the mass ejected in a wind by the primary star.
The captured material forms an accretion disk. Here, we study the evolution of
wind-accretion disks, using a numerical approach which allows us to follow the
long term evolution. For a broad range of initial conditions, we derive the
radial density and temperature profiles of the disk. In most cases,
wind-accretion leads to long-lived stable disks over the lifetime of the AGB
donor star. The disks have masses of a few times 10^{-5}-10^{-3} M_sun, with
surface density and temperature profiles that follow broken power-laws. The
total mass in the disk scales approximately linearly with the viscosity
parameter used. Roughly 50% to 80% of the mass falling into the disk accretes
onto the central star; the rest flows out through the outer edge of the disk
into the stellar wind of the primary. For systems with large accretion rates,
the secondary accretes as much as 0.1 M_sun. When the secondary is a white
dwarf, accretion naturally leads to nova and supernova eruptions. For all types
of secondary star, the surface density and temperature profiles of massive
disks resemble structures observed in protoplanetary disks, suggesting that
coordinated observational programs might improve our understanding of uncertain
disk physics.Comment: ApJ, in press. Some discussion on thermal instabilities, and
different viscosities adde