Indian Journal of Industrial and Applied Mathematics
  • Year: 2018
  • Volume: 9
  • Issue: 1

Density Functional Theory Applied to the Isotropic–Nematic Transition in Modified Gay–Berne Fluid

1Department of Physics, School of Basic Sciences and Research, Sharda University, 32, 34, Knowledge Park-3, Greater Noida – 201 310 (UP), India

*E-mail-id: rcsingh_physics@yahoo.com

Abstract

We have used the density functional theory (DFT) to study the liquid crystalline phase behavior of a system of modified Gay–Berne fluid. An attractive parameter Ap is introduced in the Gay–Berne potential that describes the strength of attractive force relative to its repulsive counterpart between large particles. The first-order DFT is tested for elongated Gay–Berne ellipsoidal molecules with axial ratio x0 = 4.0 for a set of parameters k′ = 5, μ = 2, υ = 1, and (reduced) temperature T = 1.50 to study the isotropic–nematic (I–N) phase transition. The theory is found to be in fair agreement with existing simulation data and could be applied to study the I–N phase transition; however it has tendency to overestimate the coexistence densities, change in densities and order parameters.

Keywords

Modified Gay–Berne potential, integral equation theory, Percus–Yevick approximation, density-functional theory, isotropic–nematic transition