Exact results for sheared polar active suspensions with variable liquid crystalline order

Aurore G L Loisy, Anthony Thompson, Jens Eggers, Tanniemola B Liverpool*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)

1 Citation (Scopus)
226 Downloads (Pure)

Abstract

We consider a confined sheared active polar liquid crystal with a uniform orientation and study the effect of variations in the magnitude of polarization. Restricting our analysis to one-dimensional geometries, we demonstrate that with asymmetric boundary conditions, this system is characterized, macroscopically, by a linear shear stress vs. shear strain relationship that does not pass through the origin: At a zero strain rate, the fluid sustains a non-zero stress. Analytic solutions for the polarization, density, and velocity fields are derived for asymptotically large or small systems and are shown by comparison with precise numerical solutions to be good approximations for finite-size systems.
Original languageEnglish
Article number104902
Number of pages5
JournalJournal of Chemical Physics
Volume150
Issue number10
DOIs
Publication statusPublished - 14 Mar 2019

Structured keywords

  • BrisSynBio
  • Bristol BioDesign Institute

Keywords

  • Synthetic Biology

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