Renormalized field theory of resistor diode percolation

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

17 pages, 1 figure, to appear in J. Stat. Phys

References in corpus (2)

• Nonlinear random resistor diode networks and fractal dimensions of directed percolation clusters
• Effects of surfaces on resistor percolation

Cited by in corpus (5)

• Conductivity of continuum percolating systems
• Multifractal properties of resistor diode percolation
• Corrections to Scaling in Random Resistor Networks and Diluted Continuous Spin Models near the Percolation Threshold
• Percolating granular superconductors
• Transport properties of directed percolation clusters at the upper critical dimension