Perturbation of infinite networks of resistors
Megjelenés dátuma: 2002
MTMT: 1205002
WoS ID: 000173427400014
Scopus ID: 23044529566
DOI: 10.1119/1.1419104
Absztrakt:
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.