Others sources typically say that the minimum voltage required to split water into hydrogen and oxygen is 1.229 V. Overvoltage is typically required in a practical device due to inefficiency leading to heat production.
However, suppose that two electrodes are separated by a large distance. This will result in a very low electric field strength (generally, electric field equals $V/d$ where $d$ is the distance of separation). Is there a threshold electric field level required for electrolysis to take place?