R. Bhagavatula et al., GREEN-FUNCTION METHOD FOR RANDOM FUSE NETWORK PROBLEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(6), 1994, pp. 5001-5006
We propose and study a method that self-consistently solves for the cu
rrent and voltage distributions in random fuse network problems using
lattice Green's functions. The method solves for the current distribut
ion by only keeping track of the defect bonds and can treat networks w
ith two extreme types of defects: insulating bonds and superconducting
bonds. We apply this method to study the breakdown features of a simp
le two-dimensional superconductor-resistor-insulator network.