Abstract
The traditional formalism in liquid state theory based on the calculation of the pair distribution function is generalized and reviewed for nematic uids. The considered approach is based on the solution of orientationally inhomogeneous Ornstein-Zernike equation in combination with the Triezenberg-Zwanzig-Lovett-Mou-BuffWertheim equation. It is shown that such an approach correctly describes the behavior of correlation functions of anisotropic uids connected with the presence of Goldstone modes in the ordered phase in the zero-eld limit. We focus on the discussions of analytical results obtained in collaboration with T.G. Sokolovska in the framework of the mean spherical approximation for Maier-Saupe nematogenic model. The phase behavior of this model is presented. It is found that in the nematic state the harmonics of the pair distribution function connected with the correlations of the director transverse uctuations become long-range in the zero-eld limit. It is shown that such a behavior of distribution function of nematic uid leads to dipole-like and quadrupole-like long-range asymptotes for effective interaction between colloids solved in nematic uids, predicted before by phenomenological theories.
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