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arXiv · cond-mat/9310016

Tolerance and Sensitivity in the Fuse Network

G. George Batrouni·Alex Hansen·Gerald H. Ristow
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Abstract

We show that depending on the disorder, a small noise added to the threshold distribution of the fuse network may or may not completely change the subsequent breakdown process. When the threshold distribution has a lower cutoff at a finite value and a power law dependence towards large thresholds with an exponent which is less than $0.16\pm0.03$, the network is not sensitive to the added noise, otherwise it is. The transition between sensitivity or not appears to be second order, and is related to a localization-delocalization transition earlier observed in such systems.

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G. George Batrouni, Alex Hansen, Gerald H. Ristow. 1993-10-08. Tolerance and Sensitivity in the Fuse Network. https://doi.org/10.1088/0305-4470%2F27%2F4%2F030

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