Maier-Saupe mean field model

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The Maier-Saupe model is widely used as a model of the nematic phase. The Maier-Saupe model is based on long-range dispersion forces, and has the form

U (\cos \theta) = \overline u_2 \overline P_2 P_2 (\cos \theta)

where θ is the angle between the molecular symmetry axis and the director. \overline P_2 is the uniaxial order parameter.

[edit] References

  1. W. Maier and A. Saupe "EINE EINFACHE MOLEKULARE THEORIE DES NEMATISCHEN KRISTALLINFLUSSIGEN ZUSTANDES", Zeitschrift für Naturforschung A 13 pp. 564- (1958)
  2. W. Maier and A. Saupe "EINE EINFACHE MOLEKULAR-STATISTISCHE THEORIE DER NEMATISCHEN KRISTALLINFLUSSIGEN PHASE .1", Zeitschrift für Naturforschung A 14 pp. 882- (1959)
  3. W. Maier and A. Saupe "EINE EINFACHE MOLEKULAR-STATISTISCHE THEORIE DER NEMATISCHEN KRISTALLINFLUSSIGEN PHASE .2", Zeitschrift für Naturforschung A 15 pp. 287- (1960)
  4. P A Vuillermot and M V Romerio "Exact solution of the Maier-Saupe model for a nematic liquid crystal on a one-dimensional lattice", Journal of Physics C: Solid State Physics 6 pp. 2922-2930 (1973)
  5. G. R. LUCKHURST and C. ZANNONI "Why is the Maier−Saupe theory of nematic liquid crystals so successful?", Nature 267 pp. 412 - 414 (1977)
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