Maier-Saupe nematogenic fluid with isotropic Yukawa repulsion at a hard wall: Mean field approximation

TL;DR

This paper develops a mean field theoretical approach within density field theory to analyze the behavior of a Maier-Saupe nematogenic fluid with isotropic Yukawa repulsion near a hard wall, focusing on density and order parameter profiles.

Contribution

It introduces an analytical mean field approximation framework for studying nematogenic fluids at interfaces, validated against computer simulation data.

Findings

Analytical expressions for density and order parameter profiles near a hard wall.

Temperature dependence of contact values analyzed.

Good agreement with computer simulation results.

Abstract

The mean field approximation is formulated within the framework of the density field theory to study the properties of a Maier-Saupe nematogenic fluid near a hard wall. The density and the order parameter profiles are obtained using the analytical expressions derived in the linearized mean field approximation. The temperature dependencies of the contact values of the density and order parameter profiles are analyzed in detail. To estimate a validity of the applied approximations, the obtained theoretical results are compared with the original computer simulation data.