Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Nov;74(5 Pt 1):052101. Epub 2006 Nov 15.

Knotting probability of a shaken ball-chain.

Hickford J, Jones R, du Pont SC, Eggers J.

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H.H. Wills Physics Laboratory, University of Bristol, Bristol BS8 1TL, United Kingdom.

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Phys Rev E Stat Nonlin Soft Matter Phys. 2005;74(5 Pt 2):059903.

Abstract

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.

PMID:: 17279953; [PubMed]

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Knotting probability of a shaken ball-chain.

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