Knotting probability of a shaken ball-chain

被引：12

作者：

Hickford, J. ^{[1
]}

Jones, R.

du Pont, S. Courrech

Eggers, J.

机构：

[1] Univ Bristol, HH Wills Phys Lab, Bristol BS8 1TL, Avon, England

[2] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England

来源：

PHYSICAL REVIEW E | 2006年 / 74卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.74.052101

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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.

引用

页数：4

共 6 条

[1]

ADAMS AC, 2000, KNOT BOOK

[2] Dynamic patterns and self-knotting of a driven hanging chain [J].

Belmonte, A ;

Shelley, MJ ;

Eldakar, ST ;

Wiggins, CH .

PHYSICAL REVIEW LETTERS, 2001, 87 (11)

[3] Knots and random walks in vibrated granular chains [J].

Ben-Naim, E ;

Daya, ZA ;

Vorobieff, P ;

Ecke, RE .

PHYSICAL REVIEW LETTERS, 2001, 86 (08) :1414-1417

[4] KNOTTEDNESS IN RING POLYMERS [J].

KONIARIS, K ;

MUTHUKUMAR, M .

PHYSICAL REVIEW LETTERS, 1991, 66 (17) :2211-2214

[5] KNOTS IN SELF-AVOIDING WALKS [J].

SUMNERS, DW ;

WHITTINGTON, SG .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (07) :1689-1694

[6] BIOCHEMICAL TOPOLOGY - APPLICATIONS TO DNA RECOMBINATION AND REPLICATION [J].

WASSERMAN, SA ;

COZZARELLI, NR .

SCIENCE, 1986, 232 (4753) :951-960

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