Percolation and conduction in a random resistor-diode network

Abstract

Studies percolation and conduction in a randomly diluted network in which the occupied bonds may be either resistor-like, transmitting connectivity in both directions along a bond, or diode-like, transmitting in only one direction. This system exhibits novel phase transitions signalling the onset of infinite clusters with either isotropic or unidirectional connectivity. Position-space renormalisation group methods are applied to map out the phase diagram and calculate exponents associated with these phase transitions.