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- W2019171636 abstract "We present a numerical study of pattern formation in the asynchronous regime of a homeotropically aligned nematic liquid crystal under the influence of an in-plane continuously rotating magnetic field. Experimentally, this system has been shown to produce several pattern-forming states. Here, we test the hypothesis that these dynamic patterns exist due to a coupling between spatial gradients in the nematic director and gradients in the fluid flow. We derive the equations of motion coupling the director and hydrodynamic flow from the Leslie-Erickson equations and numerically integrate them in the asynchronous regime. We show that there are two pathways by which a sample that is initially in a homogeneous state can evolve into a dynamic pattern. The first path is through a large external disturbance which nucleates pattern formation and the second is through the amplification of thermal fluctuations, both of which are experimentally observed. We find that the fluid-flow coupling is essential in order to reproduce the experimental behavior. Intuitively, the coupling of the director with the flow creates a lower effective viscosity than in the absence of the flow." @default.
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- W2019171636 date "1993-08-01" @default.
- W2019171636 modified "2023-09-26" @default.
- W2019171636 title "Fluid-flow-induced pattern formation in liquid crystals in a rotating magnetic field" @default.
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- W2019171636 doi "https://doi.org/10.1103/physreve.48.1218" @default.
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