Effect of Bending Rigidity on the Knotting of a Polymer under Tension

Author(s)
Richard James Matthews, Ard Louis, Christos Likos
Abstract

A coarse-grained-computational model is used to investigate how the bending rigidity of a polymer under tension affects the formation of a trefoil knot. Thermodynamic integration techniques are applied to demonstrate that the free-energy cost of forming a knot has a minimum at nonzero bending rigidity. The position of the minimum exhibits a power-law dependence on the applied tension. For knotted polymers with nonuniform bending rigidity, the knots preferentially localize in the region with a bending rigidity that minimizes the free energy.

Organisation(s)
Computational and Soft Matter Physics
External organisation(s)
University of Oxford
Journal
ACS Macro Letters
Volume
1
Pages
1352-1356
No. of pages
5
DOI
https://doi.org/10.1021/mz300493d
Publication date
2012
Peer reviewed
Yes
Austrian Fields of Science 2012
103023 Polymer physics, 103036 Theoretical physics, 103015 Condensed matter, 103029 Statistical physics
Portal url
https://ucrisportal.univie.ac.at/en/publications/e6879199-7ca5-49cf-a50d-bdcd268a98d4