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arXiv · 1404.2350

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

Zhi-Zhong Tan·J. W. Essam·F. Y. Wu
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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.

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Zhi-Zhong Tan, J. W. Essam, F. Y. Wu. 2014-04-09. The two-point resistance of a cobweb with a superconducting boundary. https://doi.org/10.1103/physreve.90.012130

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