Equilibrium shapes of flat knots

被引：100

作者：

Metzler, R ^{[1
]}

Hanke, A

Dommersnes, PG

Kantor, Y

Kardar, M

机构：

[1] MIT, Dept Phys, Cambridge, MA 02139 USA

[2] Tel Aviv Univ, Sackler Fac Exact Sci, Sch Phys & Astron, IL-69978 Tel Aviv, Israel

[3] Univ Calif Santa Barbara, Inst Theoret Phys, Santa Barbara, CA 93106 USA

来源：

PHYSICAL REVIEW LETTERS | 2002年 / 88卷 / 18期

关键词：

D O I：

10.1103/PhysRevLett.88.188101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the equilibrium shapes of prime and composite knots confined to two dimensions. Using scaling arguments we show that, due to self-avoiding effects, the topological details of prime knots are localized on a small portion of the larger ring polymer. Within this region, the original knot configuration can assume a hierarchy of contracted shapes, the dominating one given by just one small loop. This hierarchy is investigated in detail for the flat trefoil knot, and corroborated by Monte Carlo simulations.

引用

页码：4 / 188101

页数：4

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