  We investigate the thermohydrodynamic lubrication of the Lennard-Jones (LJ)
fluid in the parallel-plate channel composed of the LJ particles by using
molecular dynamics (MD) simulation. We discover a counterintuitive
solidification of the LJ fluid near the wall, i.e., \textit{viscous
heating-induced solidification}, where solidification occurs only when the
viscous heating of the LJ fluid is sufficiently large. The solidification
mechanism is investigated from both macroscopic and microscopic points of view.
It is found that the LJ molecules are densely confined in the vicinity of the
wall via the thermohydrodynamic transport of the bulk fluid and that when the
local density in the vicinity of the wall is close to the solidification line
in the phase diagram, the LJ molecules are solidified due to the interaction
with the crystallized wall molecules. Band formation is also observed in the
highly confined regime when the channel width is sufficiently large.
