THE BFACF ALGORITHM AND KNOTTED POLYGONS

被引：57

作者：

VANRENSBURG, EJJ ^{[1
]}

WHITTINGTON, SG ^{[1
]}

机构：

[1] UNIV TORONTO, DEPT CHEM, TORONTO M5S 1A1, ONTARIO, CANADA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 23期

关键词：

D O I：

10.1088/0305-4470/24/23/021

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The BFACF algorithm applied to polygons involves sampling on a Markov chain whose state space is the set of all polygons. In three dimensions, for the simple cubic lattice, we prove that the ergodic classes of this Markov chain are the knot classes of the polygons.

引用

页码：5553 / 5567

页数：15

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