Electrical properties of m ×n cylindrical network

• 作者: Zhen Tan Zhi-Zhong Tan
• 来源期刊: 中国物理B（英文版）
• 年，卷（期）: 2020,（8）
• 所属期刊栏目: GENERAL
• 页码范围: 203-219
• 页数: 17页
• 语种: 英文
• DOI: 10.1088/1674-1056/ab96a7

摘要

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.