Lebwohl-Lasher model: Difference between revisions
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The '''Lebwohl-Lasher model''' is a lattice version of the [[Maier-Saupe mean field model]] of a [[Nematic phase | nematic liquid crystal]]. | The '''Lebwohl-Lasher model''' is a lattice version of the [[Maier-Saupe mean field model]] of a [[Nematic phase | nematic liquid crystal]]. The Lebwohl-Lasher model consists of a cubic lattice with the [[Intermolecular pair potential | pair potential]] | ||
:<math>\Phi_{ij} = -\epsilon_{ij} P_2 (\cos \beta_{ij}) </math> | |||
where <math>\epsilon_{ij} > 0</math>, <math>\beta_{ij}</math> is the angle between nearest neighbour particles <math>i</math> and <math>j</math>, and <math>P_2</math> is a second order [[Legendre polynomials |Legendre polynomial]]. | |||
==References== | ==References== | ||
#[http://dx.doi.org/10.1103/PhysRevA.6.426 P. A. Lebwohl and G. Lasher "Nematic-Liquid-Crystal Order—A Monte Carlo Calculation", Physical Review A '''6''' pp. 426 - 429 (1972)] | #[http://dx.doi.org/10.1103/PhysRevA.6.426 P. A. Lebwohl and G. Lasher "Nematic-Liquid-Crystal Order—A Monte Carlo Calculation", Physical Review A '''6''' pp. 426 - 429 (1972)] | ||
Revision as of 16:10, 13 March 2008
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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
where , is the angle between nearest neighbour particles and , and is a second order Legendre polynomial.
References
- P. A. Lebwohl and G. Lasher "Nematic-Liquid-Crystal Order—A Monte Carlo Calculation", Physical Review A 6 pp. 426 - 429 (1972)
- P. A. Lebwohl and G. Lasher "Nematic-Liquid-Crystal Order-A Monte Carlo Calculation", 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)