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A universal state and its relaxation mechanisms of long-range interacting polygons
Using polygonal magnetic particles, we conduct experiments to explore the space-filling properties of anisotropic blocks with long-range interactions. In contrast to previous studies, we obtain the surprising finding that our systems’ structures do not depend on the shape of building blocks: a singl...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6465257/ https://www.ncbi.nlm.nih.gov/pubmed/30988297 http://dx.doi.org/10.1038/s41467-019-09795-6 |
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author | Shen, Hongchuan Tong, Hua Tan, Peng Xu, Lei |
author_facet | Shen, Hongchuan Tong, Hua Tan, Peng Xu, Lei |
author_sort | Shen, Hongchuan |
collection | PubMed |
description | Using polygonal magnetic particles, we conduct experiments to explore the space-filling properties of anisotropic blocks with long-range interactions. In contrast to previous studies, we obtain the surprising finding that our systems’ structures do not depend on the shape of building blocks: a single state, the hexagonal plastic crystal, appears as a universal attractor for a wide range of different polygons. This robust particle-shape independency appears as the interactions go beyond nearest neighbors. Particle shape plays an essential role in system relaxation, and determines the basic relaxation dynamics through a microscopic control parameter, internal roughness, produced by particle vertices. Thus our study reveals a new pattern-forming paradigm, in which particle shape plays little role in the static structure but determines the essential relaxation dynamics. Due to the ubiquity of long-range interactions and anisotropic building blocks, our discovery may shed new light on diverse problems involving structure formation, self-assembly, and packing. |
format | Online Article Text |
id | pubmed-6465257 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-64652572019-04-17 A universal state and its relaxation mechanisms of long-range interacting polygons Shen, Hongchuan Tong, Hua Tan, Peng Xu, Lei Nat Commun Article Using polygonal magnetic particles, we conduct experiments to explore the space-filling properties of anisotropic blocks with long-range interactions. In contrast to previous studies, we obtain the surprising finding that our systems’ structures do not depend on the shape of building blocks: a single state, the hexagonal plastic crystal, appears as a universal attractor for a wide range of different polygons. This robust particle-shape independency appears as the interactions go beyond nearest neighbors. Particle shape plays an essential role in system relaxation, and determines the basic relaxation dynamics through a microscopic control parameter, internal roughness, produced by particle vertices. Thus our study reveals a new pattern-forming paradigm, in which particle shape plays little role in the static structure but determines the essential relaxation dynamics. Due to the ubiquity of long-range interactions and anisotropic building blocks, our discovery may shed new light on diverse problems involving structure formation, self-assembly, and packing. Nature Publishing Group UK 2019-04-15 /pmc/articles/PMC6465257/ /pubmed/30988297 http://dx.doi.org/10.1038/s41467-019-09795-6 Text en © The Author(s) 2019 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. |
spellingShingle | Article Shen, Hongchuan Tong, Hua Tan, Peng Xu, Lei A universal state and its relaxation mechanisms of long-range interacting polygons |
title | A universal state and its relaxation mechanisms of long-range interacting polygons |
title_full | A universal state and its relaxation mechanisms of long-range interacting polygons |
title_fullStr | A universal state and its relaxation mechanisms of long-range interacting polygons |
title_full_unstemmed | A universal state and its relaxation mechanisms of long-range interacting polygons |
title_short | A universal state and its relaxation mechanisms of long-range interacting polygons |
title_sort | universal state and its relaxation mechanisms of long-range interacting polygons |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6465257/ https://www.ncbi.nlm.nih.gov/pubmed/30988297 http://dx.doi.org/10.1038/s41467-019-09795-6 |
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