Topological Effects of Knots in Polymers

Stephen R. Quake
Phys. Rev. Lett. 73, 3317 – Published 12 December 1994
PDFExport Citation

Abstract

We present a phenomenological theory of the static and dynamic effects of knots in polymers. The theory is tested by Monte Carlo simulations using the kink-jump-crankshaft and Berg-Foerster-Aragao de Carvalho-Caracciolo-Froehlich algorithms. A long time relaxation mode is discovered in the dynamics of knotted polymers that is not predicted by the Rouse model. This mode is not present in the trivial knot and appears to be the result of purely topological interactions.

  • Received 17 June 1994

DOI:https://doi.org/10.1103/PhysRevLett.73.3317

©1994 American Physical Society

Authors & Affiliations

Stephen R. Quake*

  • Department of Physics, University of Oxford, Theoretical Physics, 1 Keble Road, Oxford University, Oxford OX1 3NP, United Kingdom

  • *Present Address: Department of Physics, Stanford University, Stanford, CA 94305.

References (Subscription Required)

Click to Expand
Issue

Vol. 73, Iss. 24 — 12 December 1994

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×