Mounting observational evidence indicates that cold circumstellar gas is
present in debris disk systems. This work focuses on various dynamical
processes that debris-disk gas may undergo. We review five mechanisms that can
transport angular momentum and their applications to debris disks. These
include molecular viscosity, hydrodynamic turbulence, magnetohydrodynamic
turbulence, magnetized disk winds, and laminar magnetic stress. We find that
molecular viscosity can result in α as high as ≲0.1 for
sufficiently low densities, while the Rossby wave instability is a possible
source of hydrodynamic turbulence and structure formation. We argue that the
vertical shear instability is unlikely due to the long cooling times. The onset
of the magnetorotational instability (MRI) is dichotomous: for low density
disks the MRI can be excited at the midplane, while for high mass disks it may
only be operating at z>2−3H, if at all. The MHD wind and laminar magnetic
stress mechanisms rely on the configuration and strength of any background
large-scale magnetic field, the existence of which is uncertain and possibly
unlikely. We conclude that the dominant mechanism and its efficiency in
transporting angular momentum varies from one system to the other, depending
especially closely on the gas density. More detailed analyses shall be
performed in the future focusing on representative, nearby debris disks.Comment: 16 pages, 9 figures, submitted to MNRAS and revise