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Size of a 2D ring polymer topologically unentangled with a planar array of obstacles

Rob Daniels Orcid Logo

Europhysics Letters, Volume: 142, Issue: 2

Swansea University Author: Rob Daniels Orcid Logo

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DOI (Published version): 10.1209/0295-5075/acc88e

Abstract

We readdress the statistical mechanical problem of the size of a 2D ring polymer, topologically
unentangled with a planar lattice array of regularly spaced obstacles. It is commonly assumed in the
literature that such a polymer adopts a randomly branched type of configuration, in ord...

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Published in: Europhysics Letters
ISSN: 0295-5075 1286-4854
Published: IOP Publishing 2023
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa63054
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Abstract: We readdress the statistical mechanical problem of the size of a 2D ring polymer, topologically
unentangled with a planar lattice array of regularly spaced obstacles. It is commonly assumed in the
literature that such a polymer adopts a randomly branched type of configuration, in order to osten-
sibly maximise chain entropy, while minimising obstacle entanglement. Via an innovative analytic
approach, valid in the condensed polymer region, we are able to provide a greater theoretical under-
standing, and justification, for this presumed polymer behaviour. Our theoretically derived results
could also potentially have important implications for the structure of interphase chromosomes, as
well as electrophoretic ring polymer dynamics.
Item Description: EPL In Press. European Physical Society
Keywords: ring polymer, obstacles, topological interaction
College: Faculty of Science and Engineering
Issue: 2

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