Analogue experiments and computer simulations for directed conductivity

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Abstract
The authors study the conductivity in directed percolation by an analogue experiment and by computer simulations. In the experiment, the dependence of the conductivity on concentration of conducting diodes, rho , shows very large fluctuations. This reflects the topological constraints of directed percolation where conduction is very sensitive to singly connected or cutting bonds. They have checked this hypothesis by studying the underlying directed backbone of the experiment using computer simulations. From the dependence of the conductivity on the backbone fraction, and the dependence of the backbone fraction on rho - rho c. They infer a directed-conductivity exponent considerably less than unity, consistent with earlier theoretical work.

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