Date: 09 Jan 2013

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

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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.