https://doi.org/10.1051/epjap:2008015
Infinite simple 3D cubic lattice of identical resistors (two missing bonds)
1
Dep. of Physics – Mutah University, Karak, Jordan
2
Tabuk University, Teachers College, Department of Sciences (Physics), PO Box 1144, Saudi Arabia
3
Dep. of Basic Sciences, Ajman University, Ajman, UAE
4
Department of Physics, University of Jordan, Amman-11942, Jordan
Corresponding author: jhasad1@yahoo.com
Received:
24
April
2007
Revised:
27
September
2007
Accepted:
3
December
2007
Published online:
13
February
2008
An infinite regular three-dimensional network is composed of identical
resistors each of resistance R 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.
PACS: 02.70.Bf – Finite-difference methods / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 61.72.-y – Defects and impurities in crystals; microstructure
© EDP Sciences, 2008
