Perturbation of infinite networks of resistors

J. Cserti, Gyula Daávid, Attila Piroáth

Research output: Contribution to journalArticle

64 Citations (Scopus)

Abstract

The resistance between arbitrary nodes of an infinite network of resistors is calculated when the network is perturbed by removing one bond from the perfect lattice. A relation is given between the resistance and the lattice Green's function of the perturbed resistor network. By solving the Dyson 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.

Original languageEnglish
Pages (from-to)153-159
Number of pages7
JournalAmerican Journal of Physics
Volume70
Issue number2
DOIs
Publication statusPublished - 2002

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resistors
perturbation
Green's functions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Perturbation of infinite networks of resistors. / Cserti, J.; Daávid, Gyula; Piroáth, Attila.

In: American Journal of Physics, Vol. 70, No. 2, 2002, p. 153-159.

Research output: Contribution to journalArticle

Cserti, J. ; Daávid, Gyula ; Piroáth, Attila. / Perturbation of infinite networks of resistors. In: American Journal of Physics. 2002 ; Vol. 70, No. 2. pp. 153-159.
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