Asymptotics of multicomponent linked polygons

Author:

Bonato A,Orlandini EORCID,Whittington S G

Abstract

Abstract We investigate the asymptotic behaviour of multi-component links where the edges can be distributed among the components in all possible ways. Specifically we consider a link of k polygons on the simple cubic lattice. We prove two results about the exponential behaviour and use a Monte Carlo method to investigate how the value of the critical exponent depends on link type. One ring grows at the expense of the others while the remaining components act as one or more roots on the growing component, each root contributing 1 to the value of the critical exponent. Which component grows depends on which maximizes the entropy of the system

Publisher

IOP Publishing

Subject

General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A first proof of knot localization for polymers in a nanochannel;Journal of Physics A: Mathematical and Theoretical;2024-08-30

2. Topological and physical links in soft matter systems;Journal of Physics: Condensed Matter;2021-10-26

3. Simplifying topological entanglements by entropic competition of slip-links;Physical Review Research;2021-10-25

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