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Infinite face-centered-cubic network of identical resistors: Application to lattice Green’s function

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Abstract

The equivalent resistance between the origin and any other lattice site, in an infinite face-centered-cubic network consisting of identical resistors, has been expressed rationally in terms of the known value \( f_o(3;0,0,0)\) and \( \pi\) . The asymptotic behavior is investigated, and some calculated values for the equivalent resistance are presented.

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Authors and Affiliations

  1. Department of Physics, Tabuk University, P. O Box 741, 71491, Tabuk, Saudi Arabia

    J. H. Asad

  2. General Studies Department, Yanbu Industrial College, P. O Box 30436, Yanbu Industrial City, KSA

    A. A. Diab

  3. Department of Physics, Mutah University, Karak, Jordan

    R. S. Hijjawi

  4. Department of Physics, Jordan University, 11942, Amman, Jordan

    J. M. Khalifeh

Authors
  1. J. H. Asad
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  2. A. A. Diab
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  3. R. S. Hijjawi
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  4. J. M. Khalifeh
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Asad, J.H., Diab, A.A., Hijjawi, R.S. et al. Infinite face-centered-cubic network of identical resistors: Application to lattice Green’s function. Eur. Phys. J. Plus 128, 2 (2013). https://doi.org/10.1140/epjp/i2013-13002-8

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  • DOI: https://doi.org/10.1140/epjp/i2013-13002-8

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