Universality and Asymptotic Scaling in Drilling Percolation

Abstract

We present simulations of a 3-d percolation model studied recently by K.J. Schrenk et al. [Phys. Rev. Lett. 116, 055701 (2016)], obtained with a new and more efficient algorithm. They confirm most of their results in spite of larger systems and higher statistics used in the present paper, but we also find indications that the results do not yet represent the true asymptotic behavior. The model is obtained by replacing the isotropic holes in ordinary Bernoulli percolation by randomly placed and oriented cylinders, with the constraint that the cylinders are parallel to one of the three coordinate axes. We also speculate on possible generalizations.

arXiv comment4 pages, 4 figures

References in corpus (4)

• Recent advances and open challenges in percolation
• Critical Dynamics of the Contact Process with Quenched Disorder
• Study of the disordered one-dimensional contact process
• Critical fragmentation properties of random drilling: How many random holes need to be drilled to collapse a wooden cube?

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