Critical Fragmentation Properties of Random Drilling: How Many Holes Need to Be Drilled to Collapse a Wooden Cube?
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Peer-reviewed
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Abstract
A solid wooden cube fragments into pieces as we sequentially drill holes through it randomly. This seemingly straightforward observation encompasses deep and nontrivial geometrical and probabilistic behavior that is discussed here. Combining numerical simulations and rigorous results, we find off-critical scale-free behavior and a continuous transition at a critical density of holes that significantly differs from classical percolation.
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0201 Astronomical and Space Sciences
Journal Title
Phys Rev Lett
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Journal ISSN
0031-9007
1079-7114
1079-7114
Volume Title
116
Publisher
American Physical Society (APS)