Some aspects of conduction in disordered systems are studied by investigating the properties of disordered classical resistance networks. The effective-medium theory of Kirkpatrick is extended to include networks with an anisotropic distribution of conductance values, and then applied to some model systems. In particular, it is shown that the "observable" anisotropy of the conductivity is limited by an expression which only depends on the concentration of interruptions along the highly conducting direction.

• Received 11 June 1973

DOI:https://doi.org/10.1103/PhysRevB.9.4575