Weak first-order orientational transition in the Lebwohl-Lasher model for liquid crystals

The nature of the orientational phase transition in the three-dimensional Lebwohl-Lasher model of liquid crystals has been studied by computer simulation using reweighting techniques and finite-size scaling analysis. Unambiguous numerical evidence is found in favor of a weak first-order transition and the presence of pseudospinodal points, ${\mathit{T}}_{\pm }^{\mathrm{*}}$, which are extremely close to the equilibrium transition temperature, ‖${\mathit{T}}_{\mathit{c}}$-${\mathit{T}}_{\pm }^{\mathrm{*}}$‖/${\mathit{T}}_{\mathit{c}}$≲0.5×${10}^{\mathrm{-}3}$, in good agreement with experimental data for the nematic-isotropic transition.