Anomalous voltage distribution of random resistor networks and a new model for the backbone at the percolation threshold
Abstract
We develop a new approach for studying the random resistor network by focusing on the distribution of voltage drops across each bond. We introduce a simple model which provides a useful description of the percolating backbone, and which shows that the voltage distribution is log normal, with an infinite set of exponents required to describe the voltage moments. This latter prediction is verified by simulations of a resistor network on the square lattice.
 Publication:

Physical Review B
 Pub Date:
 April 1985
 DOI:
 10.1103/PhysRevB.31.4725
 Bibcode:
 1985PhRvB..31.4725D