Motivated by recent subarcsecond resolution observations of jets from T Tau
ri stars, we extend the work of Safier (1993a,b) by computing the thermal a
nd ionization structure of self-similar, magnetically-driven, atomic disk w
inds heated by ambipolar diffusion. Improvements over his work include: (1)
new magnetized cold jet solutions consistent with the underlying accretion
disk (Ferreira 1997); (2) a more accurate treatment of ionization and ion-
neutral momentum exchange rates; and (3) predictions for spatially resolved
forbidden line emission (maps, long-slit spectra, and line ratios), presen
ted in a companion paper, Garcia et al. (2001). As in Safier (1993a), we ob
tain jets with a temperature plateau around 10(4) K, but ionization fractio
ns are revised downward by a factor of 10-100. This is due to previous omis
sion of thermal speeds in ion-neutral momentum-exchange rates and to differ
ent jet solutions. The physical origin of the hot temperature plateau is ou
tlined. In particular we present three analytical criteria for the presence
of a hot plateau, applicable to any given MHD wind solution where ambipola
r diffusion and adiabatic expansion are the dominant heating and cooling te
rms. We finally show that, for solutions favored by observations, the jet t
hermal structure remains consistent with the usual approximations used for
MHD jet calculations (thermalized, perfectly conducting, single hydromagnet
ic cold fluid calculations).