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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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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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first_indexed 2023-03-31T13:52:03Z
last_indexed 2023-04-01T03:20:36Z
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spelling 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&#xD;unentangled with a planar lattice array of regularly spaced obstacles. It is commonly assumed in the&#xD;literature that such a polymer adopts a randomly branched type of configuration, in order to osten-&#xD;sibly maximise chain entropy, while minimising obstacle entanglement. Via an innovative analytic&#xD;approach, valid in the condensed polymer region, we are able to provide a greater theoretical under-&#xD;standing, and justification, for this presumed polymer behaviour. Our theoretically derived results&#xD;could also potentially have important implications for the structure of interphase chromosomes, as&#xD;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
format 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
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Biomedical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Biomedical Engineering
document_store_str 1
active_str 0
description We readdress the statistical mechanical problem of the size of a 2D ring polymer, topologically&#xD;unentangled with a planar lattice array of regularly spaced obstacles. It is commonly assumed in the&#xD;literature that such a polymer adopts a randomly branched type of configuration, in order to osten-&#xD;sibly maximise chain entropy, while minimising obstacle entanglement. Via an innovative analytic&#xD;approach, valid in the condensed polymer region, we are able to provide a greater theoretical under-&#xD;standing, and justification, for this presumed polymer behaviour. Our theoretically derived results&#xD;could also potentially have important implications for the structure of interphase chromosomes, as&#xD;well as electrophoretic ring polymer dynamics.
published_date 2023-04-17T13:51:55Z
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