Scaling Conjecture Regarding the Number of Unknots among Polygons of N≫1 Edges

Grosberg, Alexander Y. (2021) Scaling Conjecture Regarding the Number of Unknots among Polygons of N≫1 Edges. Physics, 3 (3). pp. 664-668. ISSN 2624-8174

Text
physics-03-00039.pdf - Published Version
Download (249kB)

Official URL: https://doi.org/10.3390/physics3030039

Abstract

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.

Item Type:	Article
Uncontrolled Keywords:	polymers; knots; unknot probability
Subjects:	STM Library > Physics and Astronomy
Depositing User:	Managing Editor
Date Deposited:	12 Nov 2022 07:34
Last Modified:	27 Sep 2023 06:33
URI:	http://open.journal4submit.com/id/eprint/98

Actions (login required)

: View Item