Correlation Length Exponent in the Three-Dimensional Fuse Network

Thomas Ramstad, Jan O. H. Bakke, Johannes Bjelland, Torunn Stranden, Alex Hansen

Published 2003-11-26Version 1

We present numerical measurements of the critical correlation length exponent nu in the three-dimensional fuse model. Using sufficiently broad threshold distributions to ensure that the system is the strong-disorder regime, we determine nu to be nu = 0.86 +/- 0.06 based on analyzing the fluctuations of the survival probability. The value we find for nu is very close to the percolation value 0.88 and we propose that the three-dimensional fuse model is in the universality class of ordinary percolation.