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Remarks on Perturbation of Infinite Networks of Identical Resistors
Authors:J?H?Asad  R?S?Hijjawi  A?Sakaj  Email author" target="_blank">J?M?KhalifehEmail author
Institution:(1) Department of Physics, University of Jordan, Amman, 11942, Jordan;(2) Department of Physics, Mutah University, Jordan;(3) Department of Physics, Ajman University, UAE;(4) Department of Physics, University of Jordan, Amman, 11942, Jordan
Abstract:The resistance between arbitrary sites of infinite square network of identical resistors is studied when the network is perturbed by removing two bonds from the perfect lattice. A connection is made between the resistance and the lattice Green’s function of the perturbed network. By solving Dyson’s equation the Green’s function and the resistance of the perturbed lattice are expressed in terms of those of the perfect lattice. Some numerical results are presented for an infinite square lattice.
Keywords:Lattice Green’  s function  resistors  perturbation
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