Phys. Rev. E 74, 052101 (2006) [4 pages]Knotting probability of a shaken ball-chainSee Also: Publisher's Note Received 15 June 2006; published 15 November 2006; corrected 20 November 2006 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. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.74.052101
DOI:
10.1103/PhysRevE.74.052101
PACS:
05.40−a, 81.05.Rm, 82.35.Lr, 02.10.Kn
See AlsoPublisher's Note: J. Hickford, R. Jones, S. Courrech du Pont, and J. Eggers, Publisher's Note: Knotting probability of a shaken ball-chain [Phys. Rev. E74, 052101 (2006)], Phys. Rev. E 74, 059903 (2006). |
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