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Media type:
E-Article
Title:
Scaling Conjecture Regarding the Number of Unknots among Polygons of N≫1 Edges
Contributor:
Grosberg, Alexander Y.
Published:
MDPI AG, 2021
Published in:
Physics, 3 (2021) 3, Seite 664-668
Language:
English
DOI:
10.3390/physics3030039
ISSN:
2624-8174
Origination:
Footnote:
Description:
The conjecture is made based on a plausible, but not rigorous argument, suggesting that the unknot probability for a randomly generated self-avoiding polygon of N≫1 edges has only logarithmic, and not power law corrections to the known leading exponential law: Punknot(N)∼exp−N/N0+o(lnN) with N0 being referred to as the random knotting length. This conjecture is consistent with the numerical result of 2010 by Baiesi, Orlandini, and Stella.