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

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Exact results for sheared polar active suspensions with variable liquid crystalline order. / Loisy, Aurore G L; Thompson, Anthony; Eggers, Jens; Liverpool, Tanniemola B.

In: Journal of Chemical Physics, Vol. 150, No. 10, 104902, 14.03.2019.

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@article{e36ba0b2f2cb479e8e20602853bf72af,
title = "Exact results for sheared polar active suspensions with variable liquid crystalline order",
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.",
author = "Loisy, {Aurore G L} and Anthony Thompson and Jens Eggers and Liverpool, {Tanniemola B}",
year = "2019",
month = "3",
day = "14",
doi = "10.1063/1.5080343",
language = "English",
volume = "150",
journal = "Journal of Chemical Physics",
issn = "0021-9606",
publisher = "American Institute of Physics (AIP)",
number = "10",

}

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TY - JOUR

T1 - Exact results for sheared polar active suspensions with variable liquid crystalline order

AU - Loisy, Aurore G L

AU - Thompson, Anthony

AU - Eggers, Jens

AU - Liverpool, Tanniemola B

PY - 2019/3/14

Y1 - 2019/3/14

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85062833442&partnerID=8YFLogxK

U2 - 10.1063/1.5080343

DO - 10.1063/1.5080343

M3 - Article

VL - 150

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 10

M1 - 104902

ER -