Yacov Kantor, Mehran Kardar
Published 2003-05-11Version 1
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.
Comments: RevTeX4, 4 pages, 4 eps figures
Journal: ARI (Bull. Istanbul Tech. Univesity) 54(2), 1 (2004)
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