We reconsider microscopically and thermodynamically the heat current associated with the motion of vortex lines in a dirty type-II superconductor and show that the heat-current operator j→0h employed previously by Caroli and Maki has to be replaced by j→h in the presence of a constant magnetic field H:j→h=j→0h+Hj→M, where j→M may be called the magnetization current. We then recalculate the entropy associated with a single vortex line SD at all temperatures (and in the high-field region), which vanishes like T at low temperatures. © 1968 The American Physical Society.