Exact results for sheared polar active suspensions with variable liquid crystalline order
Soft Condensed Matter
2022-12-13 v1
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.
Cite
@article{arxiv.2212.05534,
title = {Exact results for sheared polar active suspensions with variable liquid crystalline order},
author = {Aurore Loisy and Anthony P. Thompson and Jens Eggers and Tanniemola B. Liverpool},
journal= {arXiv preprint arXiv:2212.05534},
year = {2022}
}