Critical Fragmentation Properties of Random Drilling: How Many Holes Need to Be Drilled to Collapse a Wooden Cube?
Physical Review Letters
American Physical Society
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Schrenk, J., Hilário, M., Sidoravicius, V., Araújo, N., Hermann, H., Thielmann, M., & Texeira, A. (2016). Critical Fragmentation Properties of Random Drilling: How Many Holes Need to Be Drilled to Collapse a Wooden Cube?. Physical Review Letters, 116 (055701)https://doi.org/10.1103/PhysRevLett.116.055701
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.
External DOI: https://doi.org/10.1103/PhysRevLett.116.055701
This record's URL: https://www.repository.cam.ac.uk/handle/1810/253361
Attribution-NonCommercial 2.0 UK: England & Wales
Licence URL: http://creativecommons.org/licenses/by-nc/2.0/uk/
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