Meier-Saupe theory

It is interesting to note that in the theory of dielectrics, the relaxation times of polarization found for the Meier-Saupe potential which has the form of Eq. (6.70) and for a DC electric field Eq [52, 54, 55] are similar to those found here for the pure crystalline anisotropy and for a constant magnetic field Hg, respectively. 

Pursuing this last thought, can the elastic energy be incorporated into any of the statistical theories for the formation of liquid crystal formation (e.g., Onsager, Flory. Meier-Saupe, Doi) to predict an equilibrium between isotropic and anisotropic phases that is different from that in the defect-free state ... 

Maier function, hard-core repulsion 56 Maier-Meier equations 236 f Maier-Saupe theory 44 f, 279 f, 332... 

Illustrative curves of as a function of wavelength are shown in fig. 4.1.4. The semi-infinite medium gives the familiar flat topped curve of the dynamical theory, while the thin film gives a principal maximum accompanied by subsidiary fringes. The fringes are somewhat diflflcult to observe as even slight inhomogeneities in the specimen and small variations in its thickness tend to obliterate them, but careful experiments by Dreher, Meier and Saupe have confirmed that they do occur (fig. 4.1.5). 

Recently, Sharma has proposed some extension of the Maier-Meier approach to the case of nematogens with antiparallel dipole-dipole correlations of the molecules. He treated a polar LC material as a mixture of unpaired molecules with a finite dipole moment /u. and antiparallel pairs with zero dipole moment. The molecules interact with each other through a combination of the generalized Maier-Saupe pseudopotential for nematic mixtures and a reaction field energy term calculated from an extension of the Maier-Meier theory. Additionally, it was assumed that a dipole with dipole moment fi is embedded in a spherical cavity of dielectric permittivity n, which is surrounded by a medium of average dielectric permittivity e. In that case the expressions for the cavity field factor h and the reaction field factor / are given by h + n ), /= (e - rt")/[2rre a (2e-i-n )] and the left sides of... 

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