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Size of a 2D ring polymer topologically unentangled with a planar array of obstacles
Europhysics Letters, Volume: 142, Issue: 2
Swansea University Author: Rob Daniels
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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...
Published in: | Europhysics Letters |
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ISSN: | 0295-5075 1286-4854 |
Published: |
IOP Publishing
2023
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Online Access: |
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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. |
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Item Description: |
EPL In Press. European Physical Society |
Keywords: |
ring polymer, obstacles, topological interaction |
College: |
Faculty of Science and Engineering |
Issue: |
2 |