Nonlinear random resistor diode networks and fractal dimensions of directed percolation clusters.

@article{Stenull2001NonlinearRR,
  title={Nonlinear random resistor diode networks and fractal dimensions of directed percolation clusters.},
  author={Olaf Stenull and H. K. Janssen},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2001},
  volume={64 1 Pt 2},
  pages={
          016135
        }
}
  • O. Stenull, H. Janssen
  • Published 27 April 2001
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
We study nonlinear random resistor diode networks at the transition from the nonpercolating to the directed percolating phase. The resistor-like bonds and the diode-like bonds under forward bias voltage obey a generalized Ohm's law V approximately I(r). Based on general grounds such as symmetries and relevance we develop a field theoretic model. We focus on the average two-port resistance, which is governed at the transition by the resistance exponent straight phi(r). By employing… 
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References

Introduction to percolation theory
Preface to the Second Edition Preface to the First Edition Introduction: Forest Fires, Fractal Oil Fields, and Diffusion What is percolation? Forest fires Oil fields and fractals Diffusion in