Higher order nonlinear response in random resistor networks: numerical studies for arbitrary nonlinearity
Zeitschrift für Physik B Condensed Matter, ISSN: 1431-584X, Vol: 99, Issue: 4, Page: 599-603
1995
- 7Citations
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Metrics Details
- Citations7
- Citation Indexes7
- CrossRef7
Article Description
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 form i=συ + χυ, β=5 or β=7. The effective response of the network is assumed to take the form of i=συ + χυ + ηυ. We generalized the algorithm of Yang and Hui to calculate both χ and η. Numerical results of χ and η 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. © 1996, Springer-Verlag. All rights reserved.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0038925127&origin=inward; http://dx.doi.org/10.1007/s002570050082; http://link.springer.com/10.1007/s002570050082; http://link.springer.com/content/pdf/10.1007/s002570050082; http://link.springer.com/content/pdf/10.1007/s002570050082.pdf; http://link.springer.com/article/10.1007/s002570050082/fulltext.html; https://dx.doi.org/10.1007/s002570050082; https://link.springer.com/article/10.1007/s002570050082
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