Exact evaluation of the resistance in an infinite face-centered cubic network

DOI10.1007/s10955-013-0716-xzbMath1266.82012arXiv1210.4725OpenAlexW3102327768MaRDI QIDQ1949778

Jihad H. Asad

Publication date: 17 May 2013

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.4725

zbMATH Keywords

lattice Green's functionresistorsinfinite FCC network

Mathematics Subject Classification ID

Statistical mechanics of solids (82D20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (3)

Electrical Properties of an m × n Hammock Network* ⋮ The basic principle of m × n resistor networks ⋮ Electrical characteristics of a class of \(n\)-order triangular network

Cites Work

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• On the exact evaluation of the face-centred cubic lattice Green function
• Remarks on perturbation of infinite networks of identical resistors
• Uniform tiling with electrical resistors
• DIFFERENTIAL EQUATION APPROACH FOR ONE- AND TWO-DIMENSIONAL LATTICE GREEN'S FUNCTION
• Exact values for the cubic lattice Green functions
• Lattice Green's Function for the Body-Centered Cubic Lattice
• Calculation of the Lattice Green's Function for the bcc, fcc, and Rectangular Lattices
• THREE TRIPLE INTEGRALS
• Lattice Green's function for the face centered cubic lattice

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