Maier-Saupe nematogenic fluid: field theoretical approach

Abstract

We adopt a field theoretical approach to study the structure and thermodynamics of a homogeneous Maier-Saupe nematogenic fluid interacting with anisotropic Yukawa potential. In the mean field approximation we retrieve the standard Maier-Saupe theory for liquid crystals. In this theory the density is expressed via the second order Legendre polynomial of molecule orientations. In the Gaussian approximation we obtain analytical expressions for the correlation functions, the elasticity constant, the free energy, the pressure, and the chemical potential. We also use Ward symmetry identities to set a simple condition for the correlation functions. Subsequently we find corrections due to fluctuations and show that density now contains Legendre polynomials of higher orders.

arXiv comment12 pages, 5 figures

References in corpus (1)

• Spontaneous polarisation of the neutral interface for valence asymmetric coulombic systems

Cited by in corpus (4)

• The method of collective variables: a link with the density functional theory
• Solvation in atomic liquids: connection between Gaussian field theory and density functional theory
• Nematic fluid at a hard wall in the mean field approximation
• Maier-Saupe nematogenic fluid with isotropic Yukawa repulsion at a hard wall: Mean field approximation