Topologically Driven Swelling of a Polymer Loop

Details Topologically Driven Swelling of a Polymer Loop Topologically Driven Swelling of a Polymer Loop

2004-03-17

arxiv.org/abs/cond-mat/0403419v1

Moore NT, Lua RC, Grosberg AY. Proc Natl Acad Sci USA. 2004 Sep 14;101(37):13431-5

Physics

Condensed Matter

Soft Condensed Matter

6 pages, 4 figures, submitted to PNAS (USA) in Feb 2004

Scientific paper

10.1073/pnas.0403383101

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.

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