Lebwohl-Lasher model: Difference between revisions
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:<math>T^*_{NI^*}= \frac{k_BT_{NI}}{\epsilon}=1.1201 \pm 0.0006</math> | :<math>T^*_{NI^*}= \frac{k_BT_{NI}}{\epsilon}=1.1201 \pm 0.0006</math> | ||
==Planar Lebwohl–Lasher model == | ==Planar Lebwohl–Lasher model == | ||
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<ref>Mondal, Roy; Physics Letters A, 2003, 312, 397-410</ref> | <ref>Mondal, Roy; Physics Letters A, 2003, 312, 397-410</ref> | ||
<ref>Chiccoli, C.; Pasini, P. & Zannoni, C., Physica, 1988, 148A, 298-311</ref>. | <ref>Chiccoli, C.; Pasini, P. & Zannoni, C., Physica, 1988, 148A, 298-311</ref>. | ||
==Lattice Gas Lebwohl-Lasher model== | ==Lattice Gas Lebwohl-Lasher model== | ||
This model is the lattice gas version of the Lebwohl-Lasher model. In this case | This model is the lattice gas version of the Lebwohl-Lasher model. In this case | ||
Revision as of 15:26, 19 February 2009
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The Lebwohl-Lasher model is a lattice version of the Maier-Saupe mean field model of a nematic liquid crystal [1][2]. The Lebwohl-Lasher model consists of a cubic lattice occupied by uniaxial nematogenic particles with the pair potential
where , is the angle between the axes of nearest neighbour particles and , and is a second order Legendre polynomial.
Isotropic-nematic transition
Planar Lebwohl–Lasher model
The planar Lebwohl-Lasher appears when the lattice considered is two-dimensional. This system exhibits a Kosterlitz-Touless continuous transition [4] [5].
Lattice Gas Lebwohl-Lasher model
This model is the lattice gas version of the Lebwohl-Lasher model. In this case the sites of the lattice can be occupied by particles or empty. The interaction between nearest-neighbour particles is that of the Lebwohl-Lasher model. This model has been studied in [6].
References
- ↑ P. A. Lebwohl and G. Lasher "Nematic-Liquid-Crystal Order—A Monte Carlo Calculation", Physical Review A 6 pp. 426 - 429 (1972)
- ↑ Erratum, Physical Review A 7 p. 2222 (1973)
- ↑ 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)
- ↑ Mondal, Roy; Physics Letters A, 2003, 312, 397-410
- ↑ Chiccoli, C.; Pasini, P. & Zannoni, C., Physica, 1988, 148A, 298-311
- ↑ Bates, M. A., Computer simulation study of the phase behavior of a nematogenic lattice-gas model, Phys. Rev. E, 2001, 64, 051702