The two-point resistance on the diamond cubic lattice

摘要

The problem of calculating the equivalent resistance between any two lattice sites in several lattice structures of resistors has recently received much attention. In this paper, we study the problem of an infinite diamond cubic lattice structure formed from identical resistors using the lattice Green's function technique. Some numerical results for the resistance are presented. The asymptotic values of the resistance are calculated numerically as the distance between lattice sites goes to infinity.