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Topologically Driven Swelling of a Polymer Loop | | N.T. Moore
; R. Lua
; A.Y. Grosberg
; | | Date: |
17 Mar 2004 | | Journal: | Moore NT, Lua RC, Grosberg AY. Proc Natl Acad Sci USA. 2004 Sep 14;101(37):13431-5 | | Subject: | Soft Condensed Matter; Statistical Mechanics; Biological Physics; Biomolecules | cond-mat.soft cond-mat.stat-mech physics.bio-ph q-bio.BM | | Affiliation: | Department of Physics, University of Minnesota | | 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. | | Source: | arXiv, cond-mat/0403419 | | Services: | Forum | Review | PDF | Favorites | |
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