Another way to look at it is by assimilating the free electron gas in a metal to a regular gas.
Imagine a metal rod. By applying a voltage through it, electrons tend to group at the positive end. Electron density is thus a bit higher there. But the hotter electrons tend to stay on the end that is less dense because there is more room to move around. In this way, applying a voltage through the rod tends to separate the colder denser electrons, from the hotter, more wigly ones.
With junctions, delta T are added, much like delta V are in the case of batteries in series.