Abstract
We investigate structure of self-gravitating disks, their fragmentation and
evolution of the fragments (the clumps) using both analytic approach and
three-dimensional radiation hydrodynamics simulations. The simulations show
that non-local radiation transfer determines disk temperature. We find the disk
structure is well described by an analytical model of quasi-steady
self-gravitating disk. Because the radiation process is not local and radiation
from the interstellar medium cannot be ignored, the local balance between the
radiation cooling and the viscous heating is not achieved in a massive disk
around a low mass star. In our simulations, there are cases in which the disk
does not fragment even though it satisfies the fragmentation criterion based on
disk cooling time ($Q 1$ and $Ømega t_cool1$). This indicates
that at least the criterion is not sufficient condition for fragmentation. We
also investigate the disk fragmentation process induced by mass accretion from
the envelope. We determine the parameter range for the host cloud core in which
disk fragmentation occurs. In addition, we show that the temperature evolution
of the center of the clump is almost consistent with that of a typical first
core and we show the minimum initial mass of clumps to be about a few Jupiter
mass.
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