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A simple molecular statistical treatment of nematics

Author

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  • Vertogen, G.
  • van der Meer, B.W.

Abstract

A slightly modified version of the Maier-Saupe model is presented. As a result of this modification, that relies on the introduction of a spherical constraint, the model can be easily solved analytically in the mean field approximation. Simple expressions result for the relevant thermodynamic quantities, e.g. the temperature dependence of the order parameter. Consequently the thermodynamic properties of the original model can be understood without any appreciable numerical effort. The method can be applied to other models as well. As an example we shortly deal with the Meyer-Lubensky model of the nematic to smectic A transition.

Suggested Citation

  • Vertogen, G. & van der Meer, B.W., 1979. "A simple molecular statistical treatment of nematics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 237-250.
    • Handle: RePEc:eee:phsmap:v:99:y:1979:i:1:p:237-250
    DOI: 10.1016/0378-4371(79)90132-8
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    Cited by:

    1. Pardowitz, I. & Hess, S., 1983. "Molecular foundation of a unified theory for the isotropic and nematic or cholesteric phases of liquid crystals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(1), pages 107-121.
    2. Rosciszewski, K., 1984. "The mean-field type phase transition from smectic A to smectic C," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 127(3), pages 634-645.
    3. Scholte, P.M.L.O. & Vertogen, G., 1982. "A simple molecular statistical treatment of a model for cholesterics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 113(3), pages 587-595.

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