Journal
ACS MACRO LETTERS
Volume 3, Issue 3, Pages 255-259Publisher
AMER CHEMICAL SOC
DOI: 10.1021/mz500060c
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Funding
- Complexity Science Doctoral Training Centre at the University of Warwick
- EPSRC [EP/E501311, EP/I034661/1, EP/1005439/1]
- Italian Ministry of Education [PRIN 2010HXAW77]
- Engineering and Physical Sciences Research Council [EP/I034661/1, EP/I005439/1, EP/J007404/1, 1091111] Funding Source: researchfish
- EPSRC [EP/I005439/1, EP/I034661/1, EP/J007404/1] Funding Source: UKRI
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We perform large scale three-dimensional molecular dynamics simulations of unlinked and unknotted ring polymers diffusing through a background gel, here a three-dimensional cubic lattice. Taking advantage of this architecture, we propose a new method to unambiguously identify and quantify inter-ring threadings (penetrations) and to relate these to the dynamics of the ring polymers. We find that both the number and the persistence time of the threadings increase with the length of the chains, ultimately leading to a percolating network of inter-ring penetrations. We discuss the implications of these findings for the possible emergence of a topological jammed state of very long rings.
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