The detailed thermal structure of the magnetized solar transition regi
on, as measured by its differential emission measure [DEM(T)], is unkn
own. Proposals have been made that envision a significant lower-temper
ature contribution to the energy balance from cross-field (ion) heat f
lux. In this paper, we describe a self-consistent, 2-D, MHD simulation
(including the full effects of anisotropic thermal conduction) of a c
onceptual model due to Athay (1990). We display the detailed, irregula
r, thermal and magnetic structure of the transition region, and demons
trate that the predicted DEM agrees with observations, particularly in
the T < 10(5) K regime where previous theories had difficulty.