Maier-Saupe nematogenic fluid: field theoretical approach

Details Maier-Saupe nematogenic fluid: field theoretical approach Maier-Saupe nematogenic fluid: field theoretical approach

2012-02-21

arxiv.org/abs/1202.4548v1

Condens. Matter Phys., 2011, vol. 14, No. 3, 33605: 1-12

Physics

Condensed Matter

Soft Condensed Matter

12 pages, 5 figures

Scientific paper

10.5488/CMP.14.33605

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.

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