The two-point resistance of a cobweb with a superconducting boundary

Autor: Tan, Zhi-Zhong, Essam, J. W., Wu, F. Y.
Rok vydání: 2014
Předmět:
Zdroj: Phys. Rev. E 90, 012130 (2014)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevE.90.012130
Popis: 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.
Comment: 15 pages, 3 figures
Databáze: arXiv