What is the length of a knot in a polymer?

Details What is the length of a knot in a polymer? What is the length of a knot in a polymer?

2004-05-12

arxiv.org/abs/cond-mat/0405253v3

J. Phys. A: Math. Gen. 38 (2005) L15-L21

Physics

Condensed Matter

Statistical Mechanics

9 pages, 5 Postscript figures

Scientific paper

10.1088/0305-4470/38/1/L03

We give statistical definitions of the length, l, of a loose prime knot tied into a long, fluctuating ring macromolecule. Monte Carlo results for the equilibrium, good solvent regime show that < l > ~ N^t, where N is the ring length and t ~ 0.75 is independent of the knot topology. In the collapsed regime below the theta temperature, length determinations based on the entropic competition of different knots within the same ring show delocalization (t~1).

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