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Award ID contains: 1909268

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  1. ; ; (, Journal of Nonlinear Science)
    We analytically derive and numerically simulate a two-dimensional energy functional modelling the effects of a constant electric field on a thin sample of a bent-core liquid crystal in the ferromagnetic SmA-like phase. We start from a three-dimensional domain and show that under proper rescaling and in the limit of small thickness the electric self-interactions term gives rise to boundary terms. We compare our results to previously proposed models. 
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    Accepted Manuscript Full Text Available
  2. (, SIAM journal on applied mathematics)
    null (Ed.)
    We investigate the relaxation of an energy functional that originated in the physics literature to study the bistability of polarization modulated orthogonal smectic phases SmAPFmod of bent-core molecule liquid crystals. We show that the interplay between the mixed boundary conditions and the shape of the sample results in boundary defects. We also analyze the bistable switching due to an applied electric field via gradient flow numerical simulations. Our computations reveal a novel dynamic scenario, where switching is achieved by the formation of two internal vortices. 
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    Full Text Available