English

Resistance Calculation for an infinite Simple Cubic Lattice- Application of Green's Function

General Physics 2009-09-30 v1

Abstract

It is shown that the resistance between the origin and any lattice point (l,m,n) in an infinite perfect Simple Cubic (SC) is expressed rationally in terms of the known value of G0(0,0,0). The resistance between arbitrary sites in a SC is also studied and calculated when one of the resistors is removed from the perfect lattice. Finally, the asymptotic behavior of the resistance for both the perfect and perturbed SC network is investigated

Cite

@article{arxiv.0905.0056,
  title  = {Resistance Calculation for an infinite Simple Cubic Lattice- Application of Green's Function},
  author = {J. H. Asad and R. S. Hijjawi and A. J. Sakaji and J. M. Khalifeh},
  journal= {arXiv preprint arXiv:0905.0056},
  year   = {2009}
}

Comments

13 pages,3 tables, 6 figures

R2 v1 2026-06-21T12:57:16.093Z