If we set up an evacuated vessel where we keep one end at a higher temperature than the other, and then introduce a liquid at the warm end, it will evaporate and condense at the cooler end. If we trap the liquid there, all the liquid will move to the cooler end.
What limits the speed of this mass transfer?
To have example values, let's use water for the liquid, 25 °C for the warm and 4 °C for the cold end. The most simple geometry of the vessel I can think of that disallows the liquid to flow back to the warm end would be a pipe bent into an upturned U shape.
The pressure inside the vessel will eventually settle at the vapour pressure of the liquid at the cooler temperature. How would it look during the mass transfer?