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

Research output: Contribution to journalArticle

Original languageEnglish
Article number104902
Number of pages5
JournalJournal of Chemical Physics
Volume150
Issue number10
DOIs
DateAccepted/In press - 18 Feb 2019
DatePublished (current) - 14 Mar 2019

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.

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    Rights statement: This is the author accepted manuscript (AAM). The final published version (version of record) is available online via AIP at https://aip.scitation.org/doi/10.1063/1.5080343 . Please refer to any applicable terms of use of the publisher.

    Accepted author manuscript, 782 KB, PDF document

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