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Scaling Behavior and Equilibrium Lengths of Knotted Polymers Eric Rawdon,
 

Summary: Scaling Behavior and Equilibrium Lengths of Knotted Polymers
Eric Rawdon,
Akos Dobay,
John C. Kern,
Kenneth C. Millett,*,|
Michael Piatek,
Patrick Plunkett,#
and Andrzej Stasiak
Department of Mathematics, UniVersity of St. Thomas, St. Paul, Minnesota 55105,
Ludwig-Maximilians-UniVersitat, Biozentrum, Grosshadernerstrasse 2, 82152 Munich, Germany, Department
of Mathematics and Computer Science, Duquesne UniVersity, Pittsburgh, PennsylVania 15282, Department
of Mathematics, UniVersity of California, Santa Barbara, Santa Barbara, California 93106, Department of
Computer Science and Engineering, UniVersity of Washington, Seattle, Washington 98195, Department of
Mathematics, UniVersity of California, Santa Barbara, Santa Barbara, California 93106, and Faculty
of Biology and Medicine, Center for IntegratiVe Genomics, UniVersity of Lausanne, Lausanne
CH 1015, Switzerland
ReceiVed January 11, 2008; ReVised Manuscript ReceiVed March 14, 2008
ABSTRACT: We use numerical simulations to investigate how the chain length and topology of freely fluctuating
knotted polymer rings affect their various spatial characteristics such as the radius of the smallest sphere enclosing
momentary configurations of simulated polymer chains. We describe how the average value of a characteristic

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics