Current Redistribution in Resistor Networks: Fat-Tail Statistics in Regular and Small-World Networks
Disordered Systems and Neural Networks
2017-03-14 v2 Physics and Society
Abstract
The redistribution of electrical currents in resistor networks after single-bond failures is analyzed in terms of current-redistribution factors that are shown to depend only on the topology of the network and on the values of the bond resistances. We investigate the properties of these current-redistribution factors for regular network topologies (e.g. -dimensional hypercubic lattices) as well as for small-world networks. In particular, we find that the statistics of the current redistribution factors exhibits a fat-tail behavior, which reflects the long-range nature of the current redistribution as determined by Kirchhoff's circuit laws.
Keywords
Cite
@article{arxiv.1610.06686,
title = {Current Redistribution in Resistor Networks: Fat-Tail Statistics in Regular and Small-World Networks},
author = {Jörg Lehmann and Jakob Bernasconi},
journal= {arXiv preprint arXiv:1610.06686},
year = {2017}
}
Comments
13 pages, 12 figures