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Correlation Length Exponent in the Three-Dimensional Fuse Network

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

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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Thomas Ramstad, Jan O. H. Bakke, Johannes Bjelland, Torunn Stranden, Alex Hansen. 2003-11-26. Correlation Length Exponent in the Three-Dimensional Fuse Network. https://doi.org/10.1103/physreve.70.036123

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