Tolerance and Sensitivity in the Fuse Network
Condensed Matter
2009-10-22 v1
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 , 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.
Cite
@article{arxiv.cond-mat/9310016,
title = {Tolerance and Sensitivity in the Fuse Network},
author = {G. George Batrouni and Alex Hansen and Gerald H. Ristow},
journal= {arXiv preprint arXiv:cond-mat/9310016},
year = {2009}
}
Comments
12 pages, 3 figures available upon request, plain Tex