2002/05/19 by O. S. Tarasov, A. P. Krekhov, Tarasov, O. S. +4
Computer Science · Environmental Science · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Liquid Crystal Research Advancements #Nonlinear Dynamics and Pattern Formation #Plant Water Relations and Carbon Dynamics #Soft Condensed Matter (cond-mat.soft) #cond-mat.soft
paper · pdf · doi:10.48550/arxiv.cond-mat/0205399
13 pages, 4 figures
arxiv created 2002/05/19 · openalex publication_date 2002/05/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the orientational instabilities, both homogeneous and spatially periodic, developing in a nematic liquid crystal under rectilinear oscillatory Couette flow for director alignment perpendicular to the flow plane. Using numerical and analytical approaches we determine the critical amplitude of oscillatory flow instabilities, the critical wave number and the symmetry of the destabilizing mode. It was found, that by varying of the oscillatory flow frequency the instability changes its temporal symmetry. The mechanism of this transition is coupled with the inertia of the nematic fluid. We also shown that an electric field applied to the nematic layer can induce switching between instabilities with different spatial and temporal symmetries. The complete phase diagram of the flow instabilities is presented