Renormalized field theory of resistor diode percolation

Olaf Stenull, Hans-Karl Janssen

Published 2001-04-17Version 1

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 $\phi$. We calculate $\phi$ to two-loop order.