Percolation theory of nonlinear circuit elements

Percolation theory is extended to the case of circuit elements with nonlinear I-V characteristics, particularly the special cases V=Ir, which form the universality classes. Near the percolation threshold the "conductance" IV1 vanishes like (p-pc)t, where t depends on and dimensionality. The Skal-Shklovskii-De Gennes model gives t=(d-1), where is only weakly dependent on and d, and approaches unity at d=6. Renormalization methods are used to study the dependence of t in two dimensions.