Knotting probability of a shaken ball-chain

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

Knotting probability of a shaken ball-chain

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

Research output: Contribution to journal › Article (Academic Journal) › peer-review

13 Citations (Scopus)

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.

Translated title of the contribution	Knotting probability of a shaken ball-chain
Original language	English
Article number	Art. no. 052101 Part 1
Journal	Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
Volume	74(5)
Publication status	Published - Nov 2006

Bibliographical note

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

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title = "Knotting probability of a shaken ball-chain",

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.",

author = "J Hickford and R Jones and {Courrech du Pont}, SJG and JG Eggers",

note = "Publisher: American Physical Soc Other identifier: IDS number 110VF",

year = "2006",

month = nov,

language = "English",

volume = "74(5)",

journal = "Physical Review E: Statistical, Nonlinear, and Soft Matter Physics",

issn = "1539-3755",

publisher = "American Physical Society (APS)",

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TY - JOUR

T1 - Knotting probability of a shaken ball-chain

AU - Hickford, J

AU - Jones, R

AU - Courrech du Pont, SJG

AU - Eggers, JG

N1 - Publisher: American Physical Soc Other identifier: IDS number 110VF

PY - 2006/11

Y1 - 2006/11

N2 - 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.

AB - 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.

M3 - Article (Academic Journal)

VL - 74(5)

JO - Physical Review E: Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E: Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

M1 - Art. no. 052101 Part 1

ER -

Knotting probability of a shaken ball-chain

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