Taken from 0706.2968

The model of the random resistor network (RRN) is formulated on the square lattice with the lattice constant and sites labelled by integers . Sites , with , are not connected directly. Each pair of sites with , and , is connected by a link with the conductance

Here is a random variable,

where means the ensemble averaging.

The model of the random resistor network (RRN) is formulated on the square lattice with the lattice constant and sites labelled by integers . Sites , with , are not connected directly. Each pair of sites with , and , is connected by a link with the conductance

(1) | (2) | (3) |

(4) |