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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Main Author: D J G Pearce
Format: Article
Language:English
Published: IOP Publishing 2020-01-01
Series:New Journal of Physics
Subjects:
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.
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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