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Critical Fragmentation Properties of Random Drilling: How Many Holes Need to Be Drilled to Collapse a Wooden Cube?Physical review letters, 116 5
- Publisher
- Springer International Publishing
- Copyright
- © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
- ISBN
- 978-3-030-60753-1
- Pages
- 71 –99
- DOI
- 10.1007/978-3-030-60754-8_4
- Publisher site
- See Chapter on Publisher Site
Abstract
[We study a dependent site percolation model on the n-dimensional Euclidean lattice where, instead of single sites, entire hyperplanes are removed independently at random. We extend the results about Bernoulli line percolation showing that the model undergoes a non-trivial phase transition and proving the existence of a transition from exponential to power-law decay within some regions of the subcritical phase.]
Published: Nov 4, 2020
Keywords: Dependent percolation; Phase transition; Connectivity decay