Correlation Length Exponent in the Three-Dimensional Fuse Network

Details Correlation Length Exponent in the Three-Dimensional Fuse Network Correlation Length Exponent in the Three-Dimensional Fuse Network

2003-11-26

arxiv.org/abs/cond-mat/0311606v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, RevTeX

Scientific paper

10.1103/PhysRevE.70.036123

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.

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