At room conditions, and in absence of any electric field, the dissociation constant of water is Keq= 10-14 mol2 L-2. What means that, statistically, [H+] = [OH-] = 10-7 mol L-1. I have found general comments indicating that in presence of fields about 2·109 Vm-1 water is almost fully dissociated. I woud appreciate a proper reference showing a relationship between Keq and the electric field.