Linear and nonlinear regime of a Random Resistor Network under biased percolation

C. Pennetta; E. Alfinito; L. Reggiani

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Linear and nonlinear regime of a Random Resistor Network under biased percolation

C. Pennetta·E. Alfinito·L. Reggiani

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Abstract

We investigate the steady state of a two-dimensional random resistor network subjected to two competing biased percolations as a function of the bias strength. The properties of the linear and nonlinear regimes are studied by means of Monte Carlo simulations. In constant current conditions, a scaling relation is found between $ / _0$ and $I/I_0$, where $ $ is the average network resistance, $ _0$ the Ohmic resistance and $I_0$ an appropriate threshold value for the onset of nonlinearity. A similar scaling relation is found also for the relative variance of resistance fluctuations. These results are in good agreement with electrical breakdown measurements performed in composite materials.

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C. Pennetta, E. Alfinito, L. Reggiani. 2002-01-10. Linear and nonlinear regime of a Random Resistor Network under biased percolation. https://arxiv.org/abs/cond-mat/0201152

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