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

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Abstract

It is shown that the resistance between the origin and any lattice point (l,m,n) in an infinite perfect Simple Cubic (SC) lattice is expressible rationally in terms of the known value of G 0 (0,0,0). The resistance between arbitrary sites in an infinite SC lattice is also studied and calculated when one of the resistors is removed from the perfect lattice. The asymptotic behavior of the resistance for both the infinite perfect and perturbed SC lattice is also investigated. Finally, experimental results are obtained for a finite SC network consisting of 8×8×8 identical resistors, and a comparison with those obtained theoretically is presented.

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Authors and Affiliations

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

    J. H. Asad & J. M. Khalifeh

  2. Physics Department, Mutah University, Jordan

    R. S. Hijjawi

  3. Physics Department, Ajman University, UAE

    A. Sakaji

Authors
  1. J. H. Asad
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  2. R. S. Hijjawi
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  3. A. Sakaji
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  4. J. M. Khalifeh
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Asad, J.H., Hijjawi, R.S., Sakaji, A. et al. Resistance Calculation for an Infinite Simple Cubic Lattice Application of Green's Function. International Journal of Theoretical Physics 43, 2223–2235 (2004). https://doi.org/10.1023/B:IJTP.0000049021.94530.6e

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  • DOI: https://doi.org/10.1023/B:IJTP.0000049021.94530.6e

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