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Electrical properties of m×n cylindrical network

Chinese Physics B 2020年第8期29卷 182-197页

作者： Zhi-Zhong Tan Zhen Tan Department of Physics Nantong UniversityNantong 226019China School of Information Science and Technology Nantong UniversityNantong 226019China

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 *** 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 ***,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 *** a byproduct of the study,a new mathematical identity is discovered in the comparative study.

关键词： cylindrical network complex boundaries rt-v method electrical properties Laplace equation

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Communications in Theoretical Physics

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Communications in Theoretical Physics 2020年第5期72卷 1-12页

作者： Zhi-Zhong Tan Zhen Tan Department of Physics Nantong UniversityNantong226019China School of Information Science and Technology Nantong UniversityNantong 226019China

The unified processing and research of multiple network models are implemented,and a new theoretical advance has been made,which sets up two new theorems on evaluating the exact electrical characteristics(potential and resistance)of the complex m×n resistor networks by the recursion-transform method with potential parameters,and applies to a variety of different types of lattice structure with arbitrary boundaries such as the nonregular m×n rectangular networks and the nonregular m×n cylindrical *** research gives the analytical solutions of electrical characteristics of the complex networks(finite,semi-infinite and infinite),which has not been solved *** applications of the theorems,a series of analytical solutions of potential and resistance of the complex resistor networks are discovered.

关键词： complex network rt-v method electrical properties boundary conditions Laplace equation mathematical physics

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维普期刊数据库

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Theory of an m×n apple surface network with special boundary

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Communications in Theoretical Physics 2023年第6期75卷 138-149页

作者： Zhi-Zhong Tan Department of physics Nantong UniversityNantong226019China

As is well known,any condition change in a network model will affect the research method and *** paper studies an arbitrary m×n apple surface network with a pair of non-uniform boundary resistors,which is a complex network that has not been solved *** research process of this paper consists of four strict basic steps according to rt-v *** the breakthrough of matrix transformation and eigenvector solution,two exact potential function formulae and two equivalent resistance formulae are derived.A series of applications and special cases are given to help readers understand the *** particular,we have drawn eight visualized potential function images,which can intuitively understand the changing characteristics of potential *** establishment of theoretical results provides a new theoretical basis for related interdisciplinary research.

关键词： surface structure resistor network rt-v method matrix equation potential function exact solution

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维普期刊数据库

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