Study of Nematic Isotropic Transition

High accuracy Monte Carlo study has been performed in the modified planar Lebwohl Lasher model containing and interaction, where and are second and fourth order Legendre polynomial having three-dimensional spin. Weakly First order Nematic to Isotropic phase transition is observed using this model. Extensive Monte Carlo simulations using Wolff algorithm are performed to investigate the average energy, order parameter, ordering susceptibility, entropy and specific heat near phase transition. Transition temperature is also estimated.