Perturbation of infinite networks of resistors
WoS ID: 000173427400014
Scopus ID: 23044529566
The resistance between arbitrary nodes of an infinite network of resistors is calculated when the network is perturbed by removing one bond from the perfect lattice. A relation is given between the resistance and the lattice Green's function of the perturbed resistor network. By solving the Dyson equation, the Green's function and the resistance of the perturbed lattice are expressed in terms of those of the perfect lattice. Numerical results are presented for a square lattice. (C) 2002 American Association of Physics Teachers.