Study on the Magnetic Field Dependence of the Nematic-Isotropic Phase Transition of Liquid Crystals: A Monte Carlo Study by Employing the Wang- Warner Simple Cubic Lattice Model

Abstract-- We have used Monte Carlo technique by employing the Wang-Warner simple cubic lattice model to study the influence of magnetic field on nematic-isotropic phase transition of liquid crystals. This is shown in phase diagrams involving energy per site, orientational order parameter and specific heat as function of temperature. We find that in the absence of magnetic field, the nematic-isotropic phase transition is a strong first order transition. Upon increasing the strength of magnetic field, the jump of first order phase transition becomes small and in a critical magnetic field ( 30,hc ), the phase transition changes becoming the second order. For fields larger than ch there is no phase transition and the nematic and paranematic phases are indistinguishable. Index Term-- phase transition, liquid crystal, magnetic field, Monte Carlo technique, Wange-Warner simple cubic lattic