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Defect loops in three-dimensional active nematics as active multipoles
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Houston, Alexander J. H. and Alexander, Gareth P. (2022) Defect loops in three-dimensional active nematics as active multipoles. Physical Review E, 105 (6). L062601. doi:10.1103/PhysRevE.105.L062601 ISSN 1539-3755.
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WRAP-defect-loops-three-dimensional-active-nematics-active-multipoles-2022.pdf - Accepted Version - Requires a PDF viewer. Download (947Kb) | Preview |
Official URL: http://dx.doi.org/10.1103/PhysRevE.105.L062601
Abstract
We develop a description of defect loops in three-dimensional active nematics based on a multipole expansion of the far-field director and show how this leads to a self-dynamics dependent on the loop's geometric type. The dipole term leads to active stresses that generate a global self-propulsion for splay and bend loops. The quadrupole moment is nonzero only for nonplanar loops and generates a net “active torque,” such that defect loops are both self-motile and self-orienting. Our analysis identifies right- and left-handed twist loops as the only force- and torque-free geometries, suggesting a mechanism for generating an excess of twist loops. Finally, we determine the Stokesian flows created by defect loops and describe qualitatively their hydrodynamics.
| Item Type: | Journal Article | ||||||
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| Subjects: | Q Science > QC Physics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Research Centres > Centre for Complexity Science Faculty of Science, Engineering and Medicine > Science > Physics |
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| Library of Congress Subject Headings (LCSH): | Liquid crystals , Liquid crystals -- Spectra , Matter , Stokes flow | ||||||
| Journal or Publication Title: | Physical Review E | ||||||
| Publisher: | American Physical Society | ||||||
| ISSN: | 1539-3755 | ||||||
| Official Date: | 2 June 2022 | ||||||
| Dates: |
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| Volume: | 105 | ||||||
| Number: | 6 | ||||||
| Article Number: | L062601 | ||||||
| DOI: | 10.1103/PhysRevE.105.L062601 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Copyright Holders: | ©2022 American Physical Society | ||||||
| Date of first compliant deposit: | 6 June 2022 | ||||||
| Date of first compliant Open Access: | 7 June 2022 | ||||||
| RIOXX Funder/Project Grant: |
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