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Publication - Professor Tanniemola Liverpool

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

    Citation

    Loisy, AGL, Thompson, A, Eggers, J & Liverpool, TB, 2019, ‘Exact results for sheared polar active suspensions with variable liquid crystalline order’. Journal of Chemical Physics, vol 150.

    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.

    Full details in the University publications repository