Topological Linking Determines Elasticity in Limited Valence Networks

Fuente: arXiv
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Autori principali: Palombo, Giorgia, Weir, Simon, Michieletto, Davide, Fosado, Yair Augusto Gutierrez
Natura: Preprint
Pubblicazione: 2023
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author Palombo, Giorgia
Weir, Simon
Michieletto, Davide
Fosado, Yair Augusto Gutierrez
author_facet Palombo, Giorgia
Weir, Simon
Michieletto, Davide
Fosado, Yair Augusto Gutierrez
contents Understanding the relationship between the microscopic structure and topology of a material and its macroscopic properties is a fundamental challenge across a wide range of systems. Here, we investigate the viscoelasticity of DNA nanostar hydrogels - a model system for physical networks with limited valence - by coupling rheology measurements, confocal imaging and molecular dynamics simulations. We discover that these networks display a large degree of interpenetration and that loops within the network are topologically linked, forming a percolating network-within-network structure. Below overlapping concentration, the fraction of branching points and the pore size determine the high-frequency elasticity of these physical gels. At higher concentrations, we discover that this elastic response is dictated by the abundance of topological links between looped motifs in the gel. Our findings highlight the emergence of "topological elasticity" as a previously overlooked mechanism in generic network-forming liquids and gels and inform the design of topologically-controllable material behaviours.
format Preprint
id arxiv_https___arxiv_org_abs_2308_09689
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Topological Linking Determines Elasticity in Limited Valence Networks
Palombo, Giorgia
Weir, Simon
Michieletto, Davide
Fosado, Yair Augusto Gutierrez
Soft Condensed Matter
Materials Science
Understanding the relationship between the microscopic structure and topology of a material and its macroscopic properties is a fundamental challenge across a wide range of systems. Here, we investigate the viscoelasticity of DNA nanostar hydrogels - a model system for physical networks with limited valence - by coupling rheology measurements, confocal imaging and molecular dynamics simulations. We discover that these networks display a large degree of interpenetration and that loops within the network are topologically linked, forming a percolating network-within-network structure. Below overlapping concentration, the fraction of branching points and the pore size determine the high-frequency elasticity of these physical gels. At higher concentrations, we discover that this elastic response is dictated by the abundance of topological links between looped motifs in the gel. Our findings highlight the emergence of "topological elasticity" as a previously overlooked mechanism in generic network-forming liquids and gels and inform the design of topologically-controllable material behaviours.
title Topological Linking Determines Elasticity in Limited Valence Networks
topic Soft Condensed Matter
Materials Science
url https://arxiv.org/abs/2308.09689