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On the tricritical point of the nematic-smectic A phase transition in liquid crystals

The Journal of Chemical Physics, ISSN: 0021-9606, Vol: 85, Issue: 5, Page: 2974-2985
1986
  • 48
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  • 2
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Metrics Details

  • Citations
    48
    • Citation Indexes
      48
  • Captures
    2

Article Description

Using the Landau expansion simple formulas are found that allow for systematic calculations of the tricritical temperature for a given molecular model. The theory is applied to some molecular models of the nematic-smectic A (NA) phase transition of liquid crystals. It is shown exactly that for a large class of molecular theories the NA tricritical temperature depends only on the couplings between the two lowest order translational order parameters and the orientational degrees of freedom. The relative importance of these couplings on tricritical behavior is studied in detail in the mean-field approximation. Numerical analysis is carried out for various molecular models of the smectic A phase including the McMillan model and its generalizations. It is shown that for an experimentally relevant class of models, the presence of second and higher order harmonics does not influence the tricritical temperature in an essential way, which means that the coupling between orientational and translational degrees of freedom is likely to be dominant in determining the character of the NA phase transition. Another interesting aspect of orientational-translational coupling is the possibility of the existence of the nematic-smectic A-reentrant nematic phase transition. © 1986 American Institute of Physics.

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