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Electrical properties of m×n cylindrical network |
| Zhi-Zhong Tan(谭志中)1, Zhen Tan(谭震)2 |
1 Department of Physics, Nantong University, Nantong 226019, China;
2 School of Information Science and Technology, Nantong University, Nantong 226019, China |
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Abstract We consider the problem of electrical properties of an m×n cylindrical network with two arbitrary boundaries, which contains multiple topological network models such as the regular cylindrical network, cobweb network, globe network, and so on. We deduce three new and concise analytical formulae of potential and equivalent resistance for the complex network of cylinders by using the RT-V method (a recursion-transform method based on node potentials). To illustrate the multiplicity of the results we give a series of special cases. Interestingly, the results obtained from the resistance formulas of cobweb network and globe network obtained are different from the results of previous studies, which indicates that our research work creates new research ideas and techniques. As a byproduct of the study, a new mathematical identity is discovered in the comparative study.
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Received: 26 February 2020
Revised: 18 May 2020
Accepted manuscript online:
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PACS:
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05.50.+q
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(Lattice theory and statistics)
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84.30.Bv
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(Circuit theory)
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89.20.Ff
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(Computer science and technology)
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02.10.Yn
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(Matrix theory)
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| Fund: Project supported by the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20161278). |
Corresponding Authors:
Zhi-Zhong Tan
E-mail: tanz@ntu.edu.cn
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Cite this article:
Zhi-Zhong Tan(谭志中), Zhen Tan(谭震) Electrical properties of m×n cylindrical network 2020 Chin. Phys. B 29 080503
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