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For the first time the electrohydrodynamic convection (EHC) of nematic liquidcrystals is studied via fully nonlinear simulation. As a system of richpattern-formation the EHC is mostly studied with negative nematic liquidcrystals experimentally, and sometimes with the help of theoretical instabilityanalysis in the linear regime. Up to now there is only weakly nonlinearsimulation for a step beyond the emergence of steady convection rolls. In thiswork we modify the liquid crystal stochastic rotational model (LC SRD) [Lee etal., J. Chem. Phys., 2015, 142, 164110] to incorporate the field alignmentmechanism for positive and negative nematic liquid crystals. The convectionpatterns and their flow dynamics in the presence of external electric field arestudied. Our results predict the similar optical convection patterns in thereflected polarized light when one uses positive and negative types of nematicliquid crystals. However in the emerged flow fields, surprisingly, the drivingareas of convection rolls are different for different types of LCs. Theirapplication for nematic colloidal transportation in microfluidics is discussed.

Mesoscopic Simulation of Electrohydrodynamic Patterns in Positive and Negative Nematic Liquid Crystals