Infinite Simple 3D Cubic Lattice of Identical Resistors (Two Missing Bonds)

Details Infinite Simple 3D Cubic Lattice of Identical Resistors (Two Missing Bonds) Infinite Simple 3D Cubic Lattice of Identical Resistors (Two Missing Bonds)

2009-03-24

arxiv.org/abs/0903.4076v1

Physics

Condensed Matter

Other Condensed Matter

11 pages, 3 figures, published in EPJ-AP

Scientific paper

An infinite regular three-dimensional network is composed of identical resistors each of resistance joining adjacent nodes. What is the equivalent resistance between the lattice site and the lattice site, when two bonds are removed from the perfect network? Three cases are considered here, and some numerical values are calculated. Finally, the asymptotic behavior of the equivalent resistance is studied for large distances between the two sites.

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