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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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URI: | https://cronfa.swan.ac.uk/Record/cronfa63054 |
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v2 63054 2023-03-31 Size of a 2D ring polymer topologically unentangled with a planar array of obstacles 23f38c3bb732d4378986bdfaf7b6ee51 0000-0002-6933-8144 Rob Daniels Rob Daniels true false 2023-03-31 MEDE 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. Journal Article Europhysics Letters 142 2 IOP Publishing 0295-5075 1286-4854 ring polymer, obstacles, topological interaction 17 4 2023 2023-04-17 10.1209/0295-5075/acc88e EPL In Press. European Physical Society COLLEGE NANME Biomedical Engineering COLLEGE CODE MEDE Swansea University SU Library paid the OA fee (TA Institutional Deal) 2023-06-12T13:51:56.9816989 2023-03-31T11:31:48.2061787 Faculty of Science and Engineering School of Engineering and Applied Sciences - Biomedical Engineering Rob Daniels 0000-0002-6933-8144 1 63054__26959__c3e183e9c6724045a002382ae87db6e0.pdf 63054.AAM.1.pdf 2023-03-31T14:49:14.9117889 Output 269518 application/pdf Accepted Manuscript true As the Version of Record of this article is going to be / has been published on a gold open access basis under a CC BY 4.0 licence, this Accepted Manuscript is available for reuse under a CC BY 4.0 licence immediately. This Accepted Manuscript is Copyright © 2023 The author(s). true eng https://creativecommons.org/licences/by/4.0 63054__27180__9e9626e191524889b80cdb6013ead4e2.pdf 63054.pdf 2023-04-25T11:30:32.0002391 Output 349553 application/pdf Version of Record true Published by the EPLA under the terms of the Creative Commons Attribution 4.0 International License (CC BY). Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. true eng https://creativecommons.org/licenses/by/4.0 |
title |
Size of a 2D ring polymer topologically unentangled with a planar array of obstacles |
spellingShingle |
Size of a 2D ring polymer topologically unentangled with a planar array of obstacles Rob Daniels |
title_short |
Size of a 2D ring polymer topologically unentangled with a planar array of obstacles |
title_full |
Size of a 2D ring polymer topologically unentangled with a planar array of obstacles |
title_fullStr |
Size of a 2D ring polymer topologically unentangled with a planar array of obstacles |
title_full_unstemmed |
Size of a 2D ring polymer topologically unentangled with a planar array of obstacles |
title_sort |
Size of a 2D ring polymer topologically unentangled with a planar array of obstacles |
author_id_str_mv |
23f38c3bb732d4378986bdfaf7b6ee51 |
author_id_fullname_str_mv |
23f38c3bb732d4378986bdfaf7b6ee51_***_Rob Daniels |
author |
Rob Daniels |
author2 |
Rob Daniels |
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Journal article |
container_title |
Europhysics Letters |
container_volume |
142 |
container_issue |
2 |
publishDate |
2023 |
institution |
Swansea University |
issn |
0295-5075 1286-4854 |
doi_str_mv |
10.1209/0295-5075/acc88e |
publisher |
IOP Publishing |
college_str |
Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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School of Engineering and Applied Sciences - Biomedical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Biomedical Engineering |
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description |
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. |
published_date |
2023-04-17T13:51:55Z |
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1768501349653151744 |
score |
11.035634 |