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We present simulation data of first-order isotropic-to-nematic transitions inlattice models of liquid crystals and locate the thermodynamic limit inversetransition temperature $\epsilon_\infty$ via finite-size scaling. We observethat the inverse temperature of the specific heat maximum can be consistentlyextrapolated to $\epsilon_\infty$ assuming the usual $\alpha / L^d$ dependence,with $L$ the system size, $d$ the lattice dimension and proportionalityconstant $\alpha$. We also investigate the quantity $\epsilon_{L,k}$, thefinite-size inverse temperature where $k$ is the ratio of weights of theisotropic to nematic phase. For an optimal value $k = k_{\rm opt}$,$\epsilon_{L,k}$ versus $L$ converges to $\epsilon_\infty$ much faster than$\alpha/L^d$, providing an economic alternative to locate the transition.Moreover, we find that $\alpha \sim \ln k_{\rm opt} / {\cal L}_\infty$, with${\cal L}_\infty$ the latent heat density. This suggests that liquid crystalsat first-order IN transitions scale approximately as $q$-state Potts modelswith $q \sim k_{\rm opt}$.

Finite-size effects at first-order isotropic-to-nematic transitions