Knot Probability for Self-Avoiding Loops on a Cubic Lattice
Statistical Mechanics
2007-05-23 v1 Soft Condensed Matter
Abstract
We investigate the probability for appearance of knots in self-avoiding loops (SALs) on a cubic lattice. A set of N-step loops is generated by attempting to combine pairs of (N/2)-step self-avoiding walks constructed by a dimerization method. We demonstrate that our method produces unbiased samples of SALs, and study the knot formation probability as a function of loop size. Our results corroborate the conclusions of Yao et. al. with loops generated by a Monte Carlo method.
Cite
@article{arxiv.cond-mat/0305238,
title = {Knot Probability for Self-Avoiding Loops on a Cubic Lattice},
author = {Yacov Kantor and Mehran Kardar},
journal= {arXiv preprint arXiv:cond-mat/0305238},
year = {2007}
}
Comments
RevTeX4, 4 pages, 4 eps figures