Monte Carlo investigation of critical properties of the Landau point of a biaxial liquid-crystal system.

Abstract

Extensive Monte Carlo simulations are performed to investigate the critical properties of a special singular point usually known as the Landau point. The singular behavior is studied in the case when the order parameter is a tensor of rank 2. Such an order parameter is associated with a nematic-liquid-crystal phase. A three-dimensional lattice dispersion model that exhibits a direct biaxial nematic-to-isotropic phase transition at the Landau point is thus chosen for the present study. Finite-size scaling and cumulant methods are used to obtain precise values of the critical exponent ν=0.713(4), the ratio γ/ν=1.85(1), and the fourth-order critical Binder cumulant U^{*}=0.6360(1). Estimated values of the exponents are in good agreement with renormalization-group predictions.

DOI: 10.1103/PhysRevE.93.052701

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Cite this paper

@article{Ghoshal2016MonteCI, title={Monte Carlo investigation of critical properties of the Landau point of a biaxial liquid-crystal system.}, author={Nababrata Ghoshal and Sabana Shabnam and Sudeshna Dasgupta and Soumen Kumar Roy}, journal={Physical review. E}, year={2016}, volume={93 5}, pages={052701} }