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Chiral active membranes : odd mechanics, spontaneous flows, and shape instabilities
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Al-Izzi, Sami C. and Alexander, Gareth P. (2023) Chiral active membranes : odd mechanics, spontaneous flows, and shape instabilities. Physical Review Research, 5 (4). 043227. doi:10.1103/PhysRevResearch.5.043227 ISSN 2643-1564.
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PhysRevResearch.5.043227.pdf - Published Version - Requires a PDF viewer. Available under License Creative Commons Attribution 4.0. Download (3218Kb) | Preview |
Official URL: http://doi.org/10.1103/PhysRevResearch.5.043227
Abstract
Living systems are chiral on multiple scales, from constituent biopolymers to large scale morphology, and their active mechanics is both driven by chiral components and serves to generate chiral morphologies. We describe the mechanics of active fluid membranes in coordinate-free form, with focus on chiral contributions to the stress. These generate geometric “odd elastic” forces in response to mean curvature gradients but directed perpendicularly. As a result, they induce tangential membrane flows that circulate around maxima and minima of membrane curvature. When the normal viscous force amplifies perturbations the membrane shape can become linearly unstable giving rise to shape instabilities controlled by an active Scriven-Love number. We describe examples for spheroids, membranes tubes, and helicoids, discussing the relevance and predictions such examples make for a variety of biological systems from the subcellular to tissue level.
Item Type: | Journal Article | |||||||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | |||||||||
Library of Congress Subject Headings (LCSH): | Morphology, Liquid membranes, Geometry, Differential, Hydrodynamics | |||||||||
Journal or Publication Title: | Physical Review Research | |||||||||
Publisher: | American Physical Society | |||||||||
ISSN: | 2643-1564 | |||||||||
Official Date: | 11 December 2023 | |||||||||
Dates: |
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Volume: | 5 | |||||||||
Number: | 4 | |||||||||
Article Number: | 043227 | |||||||||
DOI: | 10.1103/PhysRevResearch.5.043227 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Access rights to Published version: | Open Access (Creative Commons) | |||||||||
Date of first compliant deposit: | 13 December 2023 | |||||||||
Date of first compliant Open Access: | 14 December 2023 | |||||||||
RIOXX Funder/Project Grant: |
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