Physical Links: defining and detecting inter-chain entanglement
Abstract Fluctuating filaments, from densely-packed biopolymers to defect lines in structured fluids, are prone to become interlaced and form intricate architectures. Understanding the ensuing mechanical and relaxation properties depends critically on being able to capture such entanglement in quant...
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Nature Portfolio
2017
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oai:doaj.org-article:432adb3bb5964dcdb5e1e2765a8e41ce2021-12-02T15:04:51ZPhysical Links: defining and detecting inter-chain entanglement10.1038/s41598-017-01200-w2045-2322https://doaj.org/article/432adb3bb5964dcdb5e1e2765a8e41ce2017-04-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-01200-whttps://doaj.org/toc/2045-2322Abstract Fluctuating filaments, from densely-packed biopolymers to defect lines in structured fluids, are prone to become interlaced and form intricate architectures. Understanding the ensuing mechanical and relaxation properties depends critically on being able to capture such entanglement in quantitative terms. So far, this has been an elusive challenge. Here we introduce the first general characterization of non-ephemeral forms of entanglement in linear curves by introducing novel descriptors that extend topological measures of linking from close to open curves. We thus establish the concept of physical links. This general method is applied to diverse contexts: equilibrated ring polymers, mechanically-stretched links and concentrated solutions of linear chains. The abundance, complexity and space distribution of their physical links gives access to a whole new layer of understanding of such systems and open new perspectives for others, such as reconnection events and topological simplification in dissipative fields and defect lines.Michele CaraglioCristian MichelettiEnzo OrlandiniNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-10 (2017) |
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Medicine R Science Q |
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Medicine R Science Q Michele Caraglio Cristian Micheletti Enzo Orlandini Physical Links: defining and detecting inter-chain entanglement |
description |
Abstract Fluctuating filaments, from densely-packed biopolymers to defect lines in structured fluids, are prone to become interlaced and form intricate architectures. Understanding the ensuing mechanical and relaxation properties depends critically on being able to capture such entanglement in quantitative terms. So far, this has been an elusive challenge. Here we introduce the first general characterization of non-ephemeral forms of entanglement in linear curves by introducing novel descriptors that extend topological measures of linking from close to open curves. We thus establish the concept of physical links. This general method is applied to diverse contexts: equilibrated ring polymers, mechanically-stretched links and concentrated solutions of linear chains. The abundance, complexity and space distribution of their physical links gives access to a whole new layer of understanding of such systems and open new perspectives for others, such as reconnection events and topological simplification in dissipative fields and defect lines. |
format |
article |
author |
Michele Caraglio Cristian Micheletti Enzo Orlandini |
author_facet |
Michele Caraglio Cristian Micheletti Enzo Orlandini |
author_sort |
Michele Caraglio |
title |
Physical Links: defining and detecting inter-chain entanglement |
title_short |
Physical Links: defining and detecting inter-chain entanglement |
title_full |
Physical Links: defining and detecting inter-chain entanglement |
title_fullStr |
Physical Links: defining and detecting inter-chain entanglement |
title_full_unstemmed |
Physical Links: defining and detecting inter-chain entanglement |
title_sort |
physical links: defining and detecting inter-chain entanglement |
publisher |
Nature Portfolio |
publishDate |
2017 |
url |
https://doaj.org/article/432adb3bb5964dcdb5e1e2765a8e41ce |
work_keys_str_mv |
AT michelecaraglio physicallinksdefininganddetectinginterchainentanglement AT cristianmicheletti physicallinksdefininganddetectinginterchainentanglement AT enzoorlandini physicallinksdefininganddetectinginterchainentanglement |
_version_ |
1718389011442040832 |