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Main Authors: Vatin, Marin, Orlandini, Enzo, Locatelli, Emanuele
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2407.07191
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author Vatin, Marin
Orlandini, Enzo
Locatelli, Emanuele
author_facet Vatin, Marin
Orlandini, Enzo
Locatelli, Emanuele
contents Spontaneous formation of knots in long polymers at equilibrium is inevitable but becomes rare in sufficiently short chains. Here, we show that knotting and knot complexity increase by orders of magnitude in diblock polymers with a fraction $p$ of self-propelled monomers. Remarkably, this enhancement is not monotonic in $p$ with an optimal value independent of the monomer's activity. By monitoring the knot's size and position we elucidate the mechanisms of its formation, diffusion, and untying and ascribe the non-monotonic behaviour to the competition between the rate of knot formation and the knot's lifetime. These findings suggest a non-equilibrium mechanism to generate entangled filaments at the nano-scale.
format Preprint
id arxiv_https___arxiv_org_abs_2407_07191
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Upsurge of spontaneous knotting in polar diblock active polymers
Vatin, Marin
Orlandini, Enzo
Locatelli, Emanuele
Soft Condensed Matter
Spontaneous formation of knots in long polymers at equilibrium is inevitable but becomes rare in sufficiently short chains. Here, we show that knotting and knot complexity increase by orders of magnitude in diblock polymers with a fraction $p$ of self-propelled monomers. Remarkably, this enhancement is not monotonic in $p$ with an optimal value independent of the monomer's activity. By monitoring the knot's size and position we elucidate the mechanisms of its formation, diffusion, and untying and ascribe the non-monotonic behaviour to the competition between the rate of knot formation and the knot's lifetime. These findings suggest a non-equilibrium mechanism to generate entangled filaments at the nano-scale.
title Upsurge of spontaneous knotting in polar diblock active polymers
topic Soft Condensed Matter
url https://arxiv.org/abs/2407.07191