Title	Characterizing linking in lattice models of polymers in nanochannels
Creator	Soteros, Christine
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2021-06-16T09:45
Description	Motivated in part by experimental and molecular dynamics studies of the entanglement characteristics of DNA in nanonchannels, we have been studying the statistics of knotting and linking for equilibrium lattice models of polymers confined to lattice tubes. In this talk I will present our theorems and transfer-matrix-based numerical results for the link statistics for self-avoiding polygon models in small tubes. The main focus will be on the special case of pairs of polygons which span a lattice tube. In this case, it is known that all but exponentially few of the configurations will be linked as the span of the polygons goes to infinity. However there are many interesting open questions about configurational statistics for pairs of polygons with fixed link type and I will introduce some of those.
Extent	30.0 minutes
Subject	Mathematics; Biology And Other Natural Sciences; Mechanics Of Particles And Systems; Applied Mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Saskatchewan
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2023-10-27
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0437370
URI	http://hdl.handle.net/2429/86356
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Characterizing linking in lattice models of polymers in nanochannels Soteros, Christine

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