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Summary: Total Curvature and Total Torsion of Knotted
Polymers
Patrick Plunkett
Michael Piatek
Akos Dobay
John C. Kern§
Kenneth C. Millett¶
Andrzej Stasiak
Eric J. Rawdon
February 1, 2007
Abstract
Previous work on radius of gyration and average crossing number has
demonstrated that polymers with fixed topology show a different scaling
behavior with respect to these characteristics than polymers with unre-
stricted topology [1, 2, 3, 4, 5, 6, 7, 8]. Using numerical simulations, we
Department of Mathematics and Computer Science, Duquesne University, Pittsburgh, PA
15282, USA, patplunkett@gmail.com
Department of Computer Science and Engineering, University of Washington, Seattle,
WA 98195, USA, piatek@cs.washington.edu
Ludwig-Maximilians-Universitšat, Biozentrum, Grosshadernerstrasse 2, 82152 Munich,
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