We have developed a Monte Carlo code for the transport of stellar X-rays in
an axially symmetric disk. The code treats Compton scattering and photoele
ctric absorption and follows the X-rays until they are completely absorbed.
We confirm that hard X-rays from a low-mass young stellar object (YSO) pen
etrate the associated accretion disk. Even without the low-energy photons t
hat are strongly attenuated by the YSO wind, the ionization rate in the inn
er region of the accretion disk (<1 AU) is many orders of magnitude larger
than the standard ionization rate due to Galactic cosmic rays. At a fixed r
adius from the source, the X-ray ionization rate is a universal function of
the the vertical column density, independent of the structural details of
the disk. The ionization rate scales with the X-ray luminosity and depends
only mildly on the X-ray temperature, at least for the temperatures relevan
t for low-mass YSOs. Thus X-rays from a YSO can ionize regions of an accret
ion disk from which low-energy cosmic rays are excluded, e.g., by the actio
n of stellar winds. Using a simple theory for the electron fraction we esti
mate that, for a minimum solar nebula, X-rays ionize the disk beyond 5 AU a
t a level sufficient to couple magnetic fields and neutral disk material. I
nside this radius, the X-rays are ineffective for vertical column densities
much larger than similar to 10(25) cm(-2), and thus an interior region of
the disk will be uncoupled from magnetic fields. If disk accretion is media
ted by MHD turbulence? as proposed by Balbus & Hawley, then our results sug
gest that layered accretion occurs in the inner regions of a disk ionized b
y X-rays, in accord with Gammie's suggestion based on cosmic-ray ionization
.