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arXiv · cond-mat/0403419

Topologically Driven Swelling of a Polymer Loop

N. T. Moore·R. Lua·A. Y. Grosberg
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Abstract

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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N. T. Moore, R. Lua, A. Y. Grosberg. 2004-03-17. Topologically Driven Swelling of a Polymer Loop. https://doi.org/10.1073/pnas.0403383101

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