Let our network defined on the page Circuit Design be in following state and subject to following boundary conditions, 

then the network is in a state and the electrostatic energy, the voltages on the islands and the change in free energy for the possible tunnel events are:

You can try to find a state which is stable for the voltage boundary conditions above, by pressing the button below. Succeeding tunnel events are carried out and the properties of the states thus attained are updated online in the forms above till either a stable state is reached or a loop of tunnel events is discovered. (Press ESC to stop calculations.)