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arXiv.org e-Print Archive
Preprint . 1999
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https://dx.doi.org/10.48550/ar...
Article . 1999
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Critical Exponents for Random Knots

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 30 Oct 2000Embargo end date: 01 Jan 1999 English Publisher:American Physical Society (APS)Journal:Physical Review Letters, volume 85, pages 3,858-3,861 (issn: 0031-9007, eissn: 1079-7114, Copyright policy )
Authors: Alexander Y. Grosberg;

doi: 10.1103/physrevlett.85.3858 , 10.48550/arxiv.cond-mat/9906176

pmid: 11041945

arXiv: http://arxiv.org/abs/cond-mat/9906176

Critical Exponents for Random Knots

Abstract

The size of a zero thickness (no excluded volume) polymer ring is shown to scale with chain length $N$ in the same way as the size of the excluded volume (self-avoiding) linear polymer, as $N^��$, where $��\approx 0.588$. The consequences of that fact are examined, including sizes of trivial and non-trivial knots.

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Keywords

Statistical Mechanics (cond-mat.stat-mech), Soft Condensed Matter (cond-mat.soft), FOS: Physical sciences, Condensed Matter - Soft Condensed Matter, Condensed Matter - Statistical Mechanics

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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 147
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
147
Top 10%
Top 10%
Top 10%
Green
bronze