The two-point resistance of a cobweb with a superconducting boundary
Statistical Mechanics
2014-12-24 v1
Abstract
We consider the problem of two-point resistance on an m x n cobweb network with a superconducting boundary, which is topologically equivalent to a geographic globe. We deduce a concise formula for the resistance between any two nodes on the globe using a method of direct summation pioneered by one of us [Z. Z. Tan, et al, J. Phys. A 46, 195202 (2013)]. This method contrasts the Laplacian matrix approach which is difficult to apply to the geometry of a globe. Our analysis gives the result directly as a single summation.
Keywords
Cite
@article{arxiv.1404.2350,
title = {The two-point resistance of a cobweb with a superconducting boundary},
author = {Zhi-Zhong Tan and J. W. Essam and F. Y. Wu},
journal= {arXiv preprint arXiv:1404.2350},
year = {2014}
}
Comments
15 pages, 3 figures