Defect order in active nematics on a curved surface
We investigate the effects of extrinsic curvature on the turbulent behavior of a 2D active nematic confined to the surface of a cylinder. The surface of a cylinder has no intrinsic curvature and only extrinsic curvature. A nematic field reacts to the extrinsic curvature by trying to align with the l...
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Format: | Article |
Language: | English |
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IOP Publishing
2020-01-01
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Series: | New Journal of Physics |
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Online Access: | https://doi.org/10.1088/1367-2630/ab91fd |
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author | D J G Pearce |
author_facet | D J G Pearce |
author_sort | D J G Pearce |
collection | DOAJ |
description | We investigate the effects of extrinsic curvature on the turbulent behavior of a 2D active nematic confined to the surface of a cylinder. The surface of a cylinder has no intrinsic curvature and only extrinsic curvature. A nematic field reacts to the extrinsic curvature by trying to align with the lowest principle curvature, in this case parallel to the long axis of the cylinder. When nematics are sufficiently active, there is a proliferation of defects arising from a bend or splay instability depending on the nature of the active stress. The extrinsic curvature of the cylinder breaks the rotational symmetry of this process, implying that defects are created parallel or perpendicular to the cylinder depending on whether the active nematic is contractile or extensile. |
first_indexed | 2024-03-12T16:30:27Z |
format | Article |
id | doaj.art-58c64077749a4392bb47e35ad69f9a67 |
institution | Directory Open Access Journal |
issn | 1367-2630 |
language | English |
last_indexed | 2024-03-12T16:30:27Z |
publishDate | 2020-01-01 |
publisher | IOP Publishing |
record_format | Article |
series | New Journal of Physics |
spelling | doaj.art-58c64077749a4392bb47e35ad69f9a672023-08-08T15:30:26ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122606305110.1088/1367-2630/ab91fdDefect order in active nematics on a curved surfaceD J G Pearce0https://orcid.org/0000-0002-0223-3778Department of Theoretical Physics, University of Geneva , SwitzerlandWe investigate the effects of extrinsic curvature on the turbulent behavior of a 2D active nematic confined to the surface of a cylinder. The surface of a cylinder has no intrinsic curvature and only extrinsic curvature. A nematic field reacts to the extrinsic curvature by trying to align with the lowest principle curvature, in this case parallel to the long axis of the cylinder. When nematics are sufficiently active, there is a proliferation of defects arising from a bend or splay instability depending on the nature of the active stress. The extrinsic curvature of the cylinder breaks the rotational symmetry of this process, implying that defects are created parallel or perpendicular to the cylinder depending on whether the active nematic is contractile or extensile.https://doi.org/10.1088/1367-2630/ab91fdactive nematicsliquid crystalsactive matter |
spellingShingle | D J G Pearce Defect order in active nematics on a curved surface New Journal of Physics active nematics liquid crystals active matter |
title | Defect order in active nematics on a curved surface |
title_full | Defect order in active nematics on a curved surface |
title_fullStr | Defect order in active nematics on a curved surface |
title_full_unstemmed | Defect order in active nematics on a curved surface |
title_short | Defect order in active nematics on a curved surface |
title_sort | defect order in active nematics on a curved surface |
topic | active nematics liquid crystals active matter |
url | https://doi.org/10.1088/1367-2630/ab91fd |
work_keys_str_mv | AT djgpearce defectorderinactivenematicsonacurvedsurface |