Knot Probability for Self-Avoiding Loops on a Cubic Lattice

Simple item page
dc.creatorKantor, Yacov
dc.creatorKardar, Mehran
dc.date2003-05-11
dc.date.accessioned2026-07-07T02:51:17Z
dc.date.available2026-07-07T02:51:17Z
dc.descriptionWe 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.
dc.descriptionRevTeX4, 4 pages, 4 eps figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0305238
dc.identifierhttp://arxiv.org/abs/cond-mat/0305238
dc.identifierARI (Bull. Istanbul Tech. Univesity) 54(2), 1 (2004)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21392
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleKnot Probability for Self-Avoiding Loops on a Cubic Lattice
dc.typetext

Files

Collections

arXiv