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Critical Fragmentation Properties of Random Drilling: How Many Holes Need to Be Drilled to Collapse a Wooden Cube?

Accepted version
Peer-reviewed

Repository DOI


Type

Article

Change log

Authors

Schrenk, KJ 
Hilário, MR 
Sidoravicius, V 
Araújo, NAM 
Herrmann, HJ 

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.

Description

Keywords

0201 Astronomical and Space Sciences

Journal Title

Phys Rev Lett

Conference Name

Journal ISSN

0031-9007
1079-7114

Volume Title

116

Publisher

American Physical Society (APS)