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A simple molecular statistical treatment of a model for cholesterics

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  • Scholte, P.M.L.O.
  • Vertogen, G.

Abstract

The cholesteric state is discussed in terms of a model consisting of the Maier-Saupe and a twist interaction. The model can be easily solved in the mean field approximation. In the practical case of a large pitch analytical expressions are obtained for relevant quantities like the order parameters and the free energy. Then it appears that the pitch is temperature independent, which is a general result, and does not influence the discontinuity of the main (nematic) order parameter at the isotropic-cholesteric transition. Interactions giving rise to a temperature-dependent pitch are discussed briefly.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:113:y:1982:i:3:p:587-595
    DOI: 10.1016/0378-4371(82)90158-3
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    References listed on IDEAS

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    1. 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.
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