Lebwohl-Lasher model

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The Lebwohl-Lasher model is a lattice version of the Maier-Saupe mean field model of a nematic liquid crystal. The Lebwohl-Lasher model consists of a cubic lattice with the pair potential

Φ_ij = − ε_ijP₂(cosβ_ij)

where ε_ij > 0, β_ij is the angle between nearest neighbour particles i and j, and P₂ is a second order Legendre polynomial.

[edit] Isotropic-nematic transition

(Ref. 3)

[edit] References

1. P. A. Lebwohl and G. Lasher "Nematic-Liquid-Crystal Order—A Monte Carlo Calculation", Physical Review A 6 pp. 426 - 429 (1972)
   1. Erratum, Physical Review A 7 p. 2222 (1973)
2. U. Fabbri and C. Zannoni "A Monte Carlo investigation of the Lebwohl-Lasher lattice model in the vicinity of its orientational phase transition", Molecular Physics pp. 763-788 58 (1986)