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The exact evaluation of the corner-to-corner resistance of an M x N resistor network: Asymptotic expansion

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 نشر من قبل F. Y. Wu
 تاريخ النشر 2008
  مجال البحث فيزياء
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We study the corner-to-corner resistance of an M x N resistor network with resistors r and s in the two spatial directions, and obtain an asymptotic expansion of its exact expression for large M and N. For M = N, r = s =1, our result is R_{NxN} = (4/pi) log N + 0.077318 + 0.266070/N^2 - 0.534779/N^4 + O(1/N^6).

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