Topologically Driven Swelling of a Polymer Loop
软凝聚态物质
2009-11-10 v1 统计力学
生物物理
生物大分子
摘要
Numerical studies of the average size of trivially knotted polymer loops with no excluded volume are undertaken. Topology is identified by Alexander and Vassiliev degree 2 invariants. Probability of a trivial knot, average gyration radius, and probability density distributions as functions of gyration radius are generated for loops of up to N=3000 segments. Gyration radii of trivially knotted loops are found to follow a power law similar to that of self avoiding walks consistent with earlier theoretical predictions.
引用
@article{arxiv.cond-mat/0403419,
title = {Topologically Driven Swelling of a Polymer Loop},
author = {N. T. Moore and R. Lua and A. Y. Grosberg},
journal= {arXiv preprint arXiv:cond-mat/0403419},
year = {2009}
}
备注
6 pages, 4 figures, submitted to PNAS (USA) in Feb 2004