Exact asymptotic expansion for the resistance between center node and a node on the cobweb network boundary
arXiv:1405.0728
Abstract
We analyze the resistance between two notes in a cobweb network of resistors. Based on an exact expression, we derive the asymptotic expansions for the resistance between the center node and a node on the boundary of the M by N cobweb network of resistors with resistors r and s in the two spatial directions. All coefficients in this expansion are expressed through analytical functions.
Accepted for Special Issue of Condensed Matter Physics on Self-Organization and Collective Behaviour in Complex Systems (7 pages, 1 figure)