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Abstract: We present numerical and analytic results for uniaxial and biaxial order atthe isotropic-nematic interface within Ginzburg-Landau-de Gennes theory. Westudy the case where an oblique anchoring condition is imposed asymptoticallyon the nematic side of the interface, reproducing results of previous work whenthis condition reduces to planar or homoeotropic anchoring. We constructphysically motivated and computationally flexible variational profiles foruniaxial and biaxial order, comparing our variational results to numericalresults obtained from a minimization of the Ginzburg-Landau-de Gennes freeenergy. While spatial variations of the scalar uniaxial and biaxial orderparameters are confined to the neighbourhood of the interface, nematicelasticity requires that the director orientation interpolate linearly betweeneither planar or homoeotropic anchoring at the location of the interface andthe imposed boundary condition at infinity. The selection of planar orhomoeotropic anchoring at the interface is governed by the sign of theGinzburg-Landau-de Gennes elastic coefficient L 2. Our variational calculationsare in close agreement with our numerics and agree qualitatively with resultsfrom density functional theory and molecular simulations.



Author: S.M. Kamil, A. K. Bhattacharjee, R. Adhikari, Gautam I. Menon

Source: https://arxiv.org/







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