The basic principle of m × n resistor networks

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2020,（5）
• 页码范围: 1-12
• 页数: 12页
• 语种: 英文

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 networks.Our research gives the analytical solutions of electrical characteristics of the complex networks (finite,semi-infinite and infinite),which has not been solved before.As applications of the theorems,a series of analytical solutions of potential and resistance of the complex resistor networks are discovered.