Renormalized field theory of resistor diode percolation
Olaf Stenull, Hans-Karl Janssen
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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