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 -