Knotting probability of a shaken ball-chain

J Hickford, R Jones, SJG Courrech du Pont, JG Eggers

Research output: Contribution to journalArticle (Academic Journal)peer-review

13 Citations (Scopus)


We study the formation of knots on a macroscopic ball chain, which is shaken on a horizontal plate at 12 times the acceleration of gravity. We find that above a certain critical length, the knotting probability is independent of chain length, while the time to shake out a knot increases rapidly with chain length. The probability of finding a knot after a certain time is the result of the balance of these two processes. In particular, the knotting probability tends to a constant for long chains.
Translated title of the contributionKnotting probability of a shaken ball-chain
Original languageEnglish
Article numberArt. no. 052101 Part 1
JournalPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics
Publication statusPublished - Nov 2006

Bibliographical note

Publisher: American Physical Soc
Other identifier: IDS number 110VF


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