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Exact Evaluation of the Resistance in an Infinite Face-Centered Cubic Network

Abstract

The equivalent resistance between the origin and the lattice site (2n,0,0), in an infinite Face Centered Cubic (FCC) network consisting from identical resistors each of resistance R, has been evaluated analytically and numerically. The asymptotic behavior of the equivalent resistance has been also investigated. Finally, some numerical values for the equivalent resistance are presented.

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Fig. 1

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Acknowledgements

The author would like to thanks the referees for their very useful comments and remarks.

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Correspondence to Jihad H. Asad.

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Asad, J.H. Exact Evaluation of the Resistance in an Infinite Face-Centered Cubic Network. J Stat Phys 150, 1177–1182 (2013). https://doi.org/10.1007/s10955-013-0716-x

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Keywords

  • Lattice Green’s function
  • Infinite FCC network
  • Resistors