3-dimensional hard rods: Difference between revisions
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*[http://dx.doi.org/10.1016/0097-8485(94)80023-5 Carlos Vega and Santiago Lago "A fast algorithm to evaluate the shortest distance between rods", Computers & Chemistry '''18''' pp. 55-59 (1994)] | *[http://dx.doi.org/10.1016/0097-8485(94)80023-5 Carlos Vega and Santiago Lago "A fast algorithm to evaluate the shortest distance between rods", Computers & Chemistry '''18''' pp. 55-59 (1994)] | ||
==Density-functional theory== | ==Density-functional theory== | ||
[[Density-functional theory]] | |||
#[http://dx.doi.org/10.1103/PhysRevA.41.6871 A. Poniewierski and R. Holyst "Density-functional theory for systems of hard rods", Physical Review A '''41''' pp. 6871-6880 (1990)] | #[http://dx.doi.org/10.1103/PhysRevA.41.6871 A. Poniewierski and R. Holyst "Density-functional theory for systems of hard rods", Physical Review A '''41''' pp. 6871-6880 (1990)] | ||
==Infinitely long hard rods== | ==Infinitely long hard rods== | ||
:''Main article: [[Onsager theory]]'' | :''Main article: [[Onsager theory]]'' | ||
Revision as of 17:49, 20 February 2008
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Minimum distance
Density-functional theory
Infinitely long hard rods
- Main article: Onsager theory
Isotropic-nematic transition
Hard rods of sufficient length are able to display liquid crystalline behaviour, specifically, an isotropic to nematic transition, as well as the smectic phase.
- Ping Sheng "Hard rod model of the nematic-isotropic phase transition", RCA Review 35 pp. 132-143 (1974)
- J. D. Parsons "Nematic ordering in a system of rods" Physical Review A 19 1225-1230 (1979)
- H. H. Wensink and G. J. Vroege "Isotropic–nematic phase behavior of length-polydisperse hard rods", Journal of Chemical Physics 119 6868 (2003)
- D. Frenkel, H. N. W. Lekkerkerker and A. Stroobants "Thermodynamic stability of a smectic phase in a system of hard rods", Nature 332 pp. 822-823 (1988)