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Simplifying Topological Entanglements by Entropic Competition of Slip-Links

Soft Condensed Matter · Submitted 30 Oct 2020

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We find that SLs entropically compete with knots and can localise them, greatly facilitating their downstream simplification by transient strand-crossing.

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arXiv ID2010.16205 (version 1)
Pith ID2TONEARJ, Pith's permanent record of this paper and its review
CitationAndrea Bonato, Davide Marenduzzo, Davide Michieletto. "Simplifying Topological Entanglements by Entropic Competition of Slip-Links." arXiv:2010.16205 (2020). https://pith.science/paper/2TONEARJ
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,667 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.26 · human participants 0.02 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.07 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

Topological entanglements are abundant, and often detrimental, in polymeric systems in biology and materials science. Here we theoretically investigate the topological simplification of knots by diffusing slip-links (SLs), which may represent biological or synthetic molecules, such as proteins on the genome or cyclodextrines in slide-ring gels. We find that SLs entropically compete with knots and can localise them, greatly facilitating their downstream simplification by transient strand-crossing. We further show that the efficiency of knot localisation strongly depends on the topology of the SL network and, informed by our findings, discuss potential strategies to control the topology of biological and synthetic materials.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Topological entanglements are abundant, and often detrimental, in polymeric systems in biology and materials science. background 1.00 0.04 0.02 asserted 0.95
s1 Here we theoretically investigate the topological simplification of knots by diffusing slip-links (SLs), which may represent biological or synthetic molecules, such as proteins on the genome or cyclodextrines in slide-ring gels. contribution 0.97 0.88 0.05 hedged possibility 0.76
s2 We find that SLs entropically compete with knots and can localise them, greatly facilitating their downstream simplification by transient strand-crossing. result 1.00 0.96 0.84 asserted 1.00
s3 We further show that the efficiency of knot localisation strongly depends on the topology of the SL network and, informed by our findings, discuss potential strategies to control the topology of biological and synthetic materials. result 0.45 0.86 0.15 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.96 · evidence from simulation or computation 0.51.

What was examined, and what was not

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not examined
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  • figures and tables
  • references and citing sentences
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  • P abstract
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  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Topological entanglements are abundant, and often detrimental, in polymeric systems in biology and materials science. Here we theoretically investigate the topological simplification of knots by diffusing slip-links (SLs), which may represent biological or synthetic molecules, such as proteins on the genome or cyclodextrines in slide-ring gels. We find that SLs entropically compete with knots and can localise them, greatly facilitating their downstream simplification by transient strand-crossing. We further show that the efficiency of knot localisation strongly depends on the topology of the SL network and, informed by our findings, discuss potential strategies to control the topology of biological and synthetic materials.

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What this paper does with the arXiv papers it cites

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 1 sentence without a confident label

Builds on 1 paper
  • While our set up is inspired to the existing framework of entropic competition [ref] , here we consider SLs as real components of the system, modelling the presence of (diffusing) SMC proteins or cyclodextrins.

    Entropic competition between knots and slip-links · Introduction · 0.94

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