  The dynamics and structure of toroidal obscuration around AGN remain
uncertain and controversial. In this paper we extend earlier work on the
dynamical role of infrared radiation pressure by adding the effects of two
kinds of distributed heating: Compton-heating due to hard X-rays from the
nucleus and local starlight heating. We find numerical solutions to the
axisymmetric hydrostatic equilibrium, energy balance, and photon diffusion
equations including these effects. Within the regime of typical parameters, the
two different sources of additional heating have very similar effects: the
density profile within the torus becomes shallower both radially and
vertically, but for plausible heating rates, there is only minor change
(relative to the source-free case) in the distribution of column density with
solid angle. The most interesting consequence of distributed heating is that it
selects out a relatively narrow range of parameters permitting an equilibrium,
particularly $(L/L_E)/\tau_T$. We discuss the implications of both the
narrowness of the permitted range and its approximate coincidence with the
range inferred from observations.
