When a potential difference exists between two points in a solid conductor and a wire connects those points, which of the following happens?
Electrons move from the point which is at lower potential to the point which is at higher potential.
When a potential difference exists, the deficiency of electrons at one point is higher than the deficiency of electrons at the other point. To maintain equilibrium, electrons move from the region of lower deficiency to the region of higher deficiency. In other words, electrons move from the region of lower potential to the region of higher potential.