Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-04-17
J. Stat. Phys. 104 (5/6), 1273 (2001)
Physics
Condensed Matter
Statistical Mechanics
17 pages, 1 figure, to appear in J. Stat. Phys
Scientific paper
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.
Janssen Hans-Karl
Stenull Olaf
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