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Scaling Behavior and Equilibrium Lengths of Knotted Polymers

Summary: Scaling Behavior and Equilibrium
Lengths of Knotted Polymers
Eric Rawdon
Akos Dobay
John C. Kern
Kenneth C. Millett§
Michael Piatek¶
Patrick Plunkett Andrzej Stasiak
January 2, 2008
We use numerical simulations to investigate how
the chain length and topology of freely fluctuating
knotted polymer rings affect their various spatial char-
acteristics such as the radius of the smallest sphere en-
closing momentary configurations of simulated poly-
mer chains. We describe how the average value of
a characteristic changes with the chain size and how
this change depends on the topology of the modeled
polymers. Although the scaling profiles of a spatial
characteristic for distinct knot types do not intersect


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


Collections: Mathematics