Current Localization in Nonlinear Inhomogeneous Media
We consider the transport of electric current in inhomogeneous media with nonlinear conductivity. The interplay between disorder and nonlinearity gives rise to local enhancements of the current density. We study this current localization for a network of nonlinear resistors with the degree of nonlinearity varying at random through the system, which leads to a crossover from weak to strong localization with increasing voltage. We study the average fluctuations and the maximum value of the local current and discuss experimental consequences of these results.
A. Vojta and T. Vojta, "Current Localization in Nonlinear Inhomogeneous Media," Journal of Physics: Condensed Matter, vol. 8, no. 33, pp. L461-L467, Institute of Physics - IOP Publishing, Aug 1996.
The definitive version is available at https://doi.org/10.1088/0953-8984/8/33/004
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