Perturbation of infinite networks of resistors

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dc.creatorCserti, József
dc.creatorDávid, Gyula
dc.creatorPiróth, Attila
dc.date2001-07-17
dc.date.accessioned2026-07-07T06:34:05Z
dc.date.available2026-07-07T06:34:05Z
dc.descriptionThe resistance between arbitrary nodes of infinite networks of resistors is studied when the network is perturbed by removing one bond from the perfect lattice. A connection is made between the resistance and the lattice Green's function of the perturbed network. 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. Numerical results are presented for a square lattice. Our method of the lattice Green's function in studying resistor networks can also be applied in the field of random walks as well as electrical and mechanical breakdown phenomena in insulators, thin films and modern ceramics.
dc.description10 pages, 4 figures, submitted to American Journal of Physics
dc.identifierhttps://arxiv.org/abs/cond-mat/0107362
dc.identifierhttp://arxiv.org/abs/cond-mat/0107362
dc.identifierAmerican Journal of Physics 70, 153-159 (2002)
dc.identifierdoi:10.1119/1.1419104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99410
dc.subjectDisordered Systems and Neural Networks
dc.titlePerturbation of infinite networks of resistors
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