Crossings and writhe of flexible and ideal knots

被引：32

作者：

Huang, Juin-Yan ^{[1
]}

Lai, Pik-Yin ^{[1
,2
]}

机构：

[1] Department of Physics, Center for Complex Systems, National Central University, Chung-li, 320, Taiwan

[2] Department of Physics, Center for the Physics of Materials, McGill University, 3600 University Street, Montreal, Que. H3A 2T8, Canada

来源：

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2001年 / 63卷 / 2 I期

关键词：

Computer simulation - DNA - Mathematical models - Monte Carlo methods - Polynomials - Proteins - Topology;

D O I：

10.1103/PhysRevE.63.021506

中图分类号：

学科分类号：

摘要：

The crossings and writhe of flexible and ideal knots was analyzed using the Monte Carlo simulations. The data of ideal knots were investigated and the average crossing number of the ideal knots showed a nonlinear behavior with the essential crossing number C. The results, based on bond fluctuation model, proved that the ideal knots varied nonlinearly with both C and the corresponding average crossing number of the flexible knot.

引用

页码：021506 / 021501