In this model a source at 0.1V leads to a junction at 0.0V. Two branches lead to terminal species A and B at the same -0.3V. The branch to A has N relays (N = 0, 1, 2, ...) at 0.0V and the B branch has N + 1 relays at 0.0V (the diagram illustrates case N = 3). The source to junction and the junction to terminal distances are fixed at 5 Å and 25 Å, respectively. Uniform spacing is used between relays. For all calculations the source is assigned 1.0M initial concentration, zero to all other species. The curves demonstrate the expected hopping advantage as the upper curve for B is the one of higher concentration (there is one extra relay in its path thus it draws more current, at least during its lifetime as a kinetic product). But the effect is less pronounced as N increases and the ratio of the number of relays between the two branches approaches 1:1; as this occurs, the closer [A] and [B] become to each other and the time to equilibrium decreases (observe the equilibrium concentrations match at 0.5M since A and B are at the same potential).