Communications in Theoretical Physics

作     者：Zhi-Zhong Tan Zhen Tan Zhi-Zhong Tan;Zhen Tan

作者机构：Department of PhysicsNantong UniversityNantong226019China School of Information Science and TechnologyNantong UniversityNantong 226019China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2020年第72卷第5期

页      面：1-12页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0704[理学-天文学] 0702[理学-物理学] 

基　　金：Project supported by a grant from the Natural Science Foundation of Jiangsu Province(No.BK20161278) 

主　　题：complex network RT-V method electrical properties boundary conditions Laplace equation mathematical physics 

摘      要：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.