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• W2521103864 abstract "The orientational order of nematic liquid crystals is traditionally studied by means of the second-rank ordering tensor . When this is calculated through experiments or simulations, the symmetry group of the phase is not known a priori, but needs to be deduced from the numerical realisation of , which is affected by numerical errors. There is no generally accepted procedure to perform this analysis. Here, we provide a new algorithm suited to identifying the symmetry group of the phase. As a by product, we prove that there are only five phase-symmetry classes of the second-rank ordering tensor and give a canonical representation of for each class. The nearest tensor of the assigned symmetry is determined by group-projection. In order to test our procedure, we generate uniaxial and biaxial phases in a system of interacting particles, endowed with or symmetry, which mimic the outcome of Monte–Carlo simulations. The actual symmetry of the phases is correctly identified, along with the optimal choice of laboratory frame." @default.
• W2521103864 created "2016-09-30" @default.
• W2521103864 creator A5030749427 @default.
• W2521103864 creator A5067971381 @default.
• W2521103864 date "2017-11-02" @default.
• W2521103864 modified "2023-09-28" @default.
• W2521103864 title "Determination of the symmetry classes of orientational ordering tensors" @default.
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• W2521103864 doi "https://doi.org/10.1088/1361-6544/aa8713" @default.
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