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Resistance Calculation for an infinite Simple Cubic Lattice- Application of Green's Function

2009/05/01 by J. H. Asad, R. S. Hijjawi, Asad, J. H. +5
Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.0905.0056

13 pages,3 tables, 6 figures

arxiv created 2009/05/01 · arxiv updated 2009/12/01

Abstract

It is shown that the resistance between the origin and any lattice point (l,m,n) in an infinite perfect Simple Cubic (SC) is expressed rationally in terms of the known value of G0(0,0,0). The resistance between arbitrary sites in a SC is also studied and calculated when one of the resistors is removed from the perfect lattice. Finally, the asymptotic behavior of the resistance for both the perfect and perturbed SC network is investigated

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