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PERTURBATION OF AN INFINITE NETWORK OF IDENTICAL CAPACITORS

R. S. HIJJAWI

Department of Physics, Mutah University, Jordan

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J. H. ASAD

Department of Physics, University of Jordan, Amman-11942, Jordan

Corresponding author.

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A. J. SAKAJI

Department of Physics, Ajman University, UAE

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, and

J. M. KHALIFEH

Department of Physics, University of Jordan, Amman-11942, Jordan

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https://doi.org/10.1142/S0217979207035972Cited by:22 (Source: Crossref)

Abstract

The capacitance between any two arbitrary lattice sites in an infinite square lattice is studied when one bond is removed (i.e. perturbed). A connection is made between the capacitance and the lattice Green's function of the perturbed network, where they are expressed in terms of those of the perfect network. The asymptotic behavior of the perturbed capacitance is investigated as the separation between the two sites goes to infinity. Finally, numerical results are obtained along different directions and a comparison is made with the perfect capacitances.

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