Tolerance and Sensitivity in the Fuse Network

Details Tolerance and Sensitivity in the Fuse Network Tolerance and Sensitivity in the Fuse Network

1993-10-08

arxiv.org/abs/cond-mat/9310016v1

Physics

Condensed Matter

12 pages, 3 figures available upon request, plain Tex

Scientific paper

10.1088/0305-4470/27/4/030

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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