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Renormalized field theory of resistor diode percolation

Olaf Stenull·Hans-Karl Janssen
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Abstract

We study resistor diode percolation at the transition from the non-percolating to the directed percolating phase. We derive a field theoretic Hamiltonian which describes not only geometric aspects of directed percolation clusters but also their electric transport properties. By employing renormalization group methods we determine the average two-port resistance of critical clusters, which is governed by a resistance exponent $ϕ$. We calculate $ϕ$ to two-loop order.

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Olaf Stenull, Hans-Karl Janssen. 2001-04-17. Renormalized field theory of resistor diode percolation. https://doi.org/10.1023/a%3A1010418214851

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