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  Fingering instability of active nematic droplets

Alert, R. (2022). Fingering instability of active nematic droplets. Journal of Physics A, 55(23): 234009. doi:10.1088/1751-8121/ac6c61.

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Alert, Ricard1, Author           
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1Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

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 Abstract: From the mitotic spindle up to tissues and biofilms, many biological systems behave as active droplets, which often break symmetry and change shape spontaneously. Here, I show that active nematic droplets can experience a fingering instability. I consider an active fluid that acquires nematic order through anchoring at the droplet interface, and I predict its morphological stability in terms of three dimensionless parameters: the anchoring angle, the penetration length of nematic order compared to droplet size, and an active capillary number. Droplets with extensile (contractile) stresses and planar (homeotropic) anchoring are unstable above a critical activity or droplet size. This instability is interfacial in nature: it arises through the coupling of active flows with interface motion, even when the bulk instability of active nematics cannot take place. In contrast to the dynamic states characteristic of active matter, the instability could produce static fingering patterns. The number of fingers increases with activity but varies non-monotonically with the nematic penetration length. Overall, these results pave the way towards understanding the self-organized shapes of biological systems, and towards designing patterns in active materials.

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Language(s): eng - English
 Dates: 2022-05-182022-06-10
 Publication Status: Issued
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 Identifiers: ISI: 000797664500001
DOI: 10.1088/1751-8121/ac6c61
arXiv: 2202.14027
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Title: Journal of Physics A
  Other : Journal of Physics A: Mathematical and Theoretical
  Abbreviation : J. Phys. A
Source Genre: Journal
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Publ. Info: Bristol : IOP Pub.
Pages: - Volume / Issue: 55 (23) Sequence Number: 234009 Start / End Page: - Identifier: ISSN: 1751-8113
CoNE: https://pure.mpg.de/cone/journals/resource/954925513480_2