Low-density series expansions are obtained for random resistor networks. The expansions are obtained on the square lattice to order 18 and on the triangular lattice to order 14. Bulk and surface expansions are given for both resistive and conductive susceptibilities. The balance of the evidence obtained from analysing these series is in favour of the value for the critical exponent of the resistance scale and supports the existence of only a single such scale for bulk and surface susceptibilities. This value is in agreement with earlier Monte Carlo work.
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Essam et al. (1996) studied this question.