The basic principle of m × n resistor networks

DOI10.1088/1572-9494/ab7702zbMath1451.94041OpenAlexW3014590578MaRDI QIDQ5143422

Zhizhong Tan, Zhen Tan

Publication date: 12 January 2021

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1572-9494/ab7702

zbMATH Keywords

boundary conditionsLaplace equationmathematical physicscomplex networkelectrical propertiesRT-V method

Mathematics Subject Classification ID

Analytic circuit theory (94C05)

Related Items (1)

Rotational invariance in resistor networks: two-point resistances around an n-fold corner

Cites Work

• A statistical theory of the mean field
• Exact evaluation of the resistance in an infinite face-centered cubic network
• A recursion formula for resistance distances and its applications
• Fast direct solvers for Poisson equation on 2D polar and spherical geometries
• Two-Point Resistance of a Non-Regular Cylindrical Network with a Zero Resistor Axis and Two Arbitrary Boundaries*
• Theory of resistor networks: the two-point resistance
• Electrical Properties of an m × n Hammock Network*
• Exact results for the diamond lattice Green function with applications to uniform random walks in a plane
• Lattice Green functions of the higher-dimensional face-centered cubic lattices
• The two-point resistance of a resistor network: a new formulation and application to the cobweb network
• Theory of impedance networks: the two-point impedance andLCresonances
• The exact evaluation of the corner-to-corner resistance of anM×Nresistor network: asymptotic expansion
• A fast parallel algorithm for the Poisson equation on a disk

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