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27 April 2024
 
  » arxiv » cond-mat/0202075

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Tightness of slip-linked polymer chains
Ralf Metzler ; Andreas Hanke ; Paul G. Dommersnes ; Yacov Kantor ; Mehran Kardar ;
Date 5 Feb 2002
Subject Statistical Mechanics | cond-mat.stat-mech
AbstractWe study the interplay between entropy and topological constraints for a polymer chain in which sliding rings (slip-links) enforce pair contacts between monomers. These slip-links divide a closed ring polymer into a number of sub-loops which can exchange length between each other. In the ideal chain limit, we find the joint probability density function for the sizes of segments within such a slip-linked polymer chain (paraknot). A particular segment is tight (small in size) or loose (of the order of the overall size of the paraknot) depending on both the number of slip-links it incorporates and its competition with other segments. When self-avoiding interactions are included, scaling arguments can be used to predict the statistics of segment sizes for certain paraknot configurations.
Source arXiv, cond-mat/0202075
Other source [GID 172093] pmid12188699
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