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Higher order nonlinear response in random resistor networks: numerical studies for arbitrary nonlinearity

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Zeitschrift für Physik B Condensed Matter

Abstract

The higher order effective response of random resistor networks (RRNs) consisting of two different kinds resistor is studied numerically. One kind of resistor is assumed to be Ohmic, while the other is assumed to have a nonlinear I–V response of the formi=συ + χυβ, β=5 or β=7. The effective response of the network is assumed to take the form ofi=σeυ + χeυβ + ηeυ2β. We generalized the algorithm of Yang and Hui to calculate both χe and ηe. Numerical results of χe and ηe are compared to theoretical predictions of a recently derived Clausius-Mossotti (CM) approximation. The Clausius-Mossotti approximation results are found to provide a good description of the results of the simulations in cases of low contrast between the two components in the networks.

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  1. G. M. Zhang

    Present address: Department of Physics, SuZhou University, 215006, SuZhou, People’s Republic of China

Authors and Affiliations

  1. World Laboratory, Chinese Center of Advanced Science and Technology, P.O. Box 8730, 100080, Beijing, People's Republic of China

    G. M. Zhang

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Zhang, G.M. Higher order nonlinear response in random resistor networks: numerical studies for arbitrary nonlinearity. Z. Phys. B - Condensed Matter 99, 599–603 (1995). https://doi.org/10.1007/s002570050082

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  • DOI: https://doi.org/10.1007/s002570050082

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