Hard cut sphere model: Difference between revisions
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[[Image:cutHardSphere.png|thumb|right]] | [[Image:cutHardSphere.png|thumb|right]] | ||
'''Hard disks in a three dimensional space''' <ref>[http://dx.doi.org/10.1103/PhysRevLett.49.1089 Daan Frenkel and Rob Eppenga "Monte Carlo Study of the Isotropic-Nematic Transition in a Fluid of Thin Hard Disks", Physical Review Letters '''49''' pp. 1089-1092 (1982)]</ref> (also known as platelets or '''hard-cut spheres''') are sections of spheres which have some thickness <math>L</math>. Hard cut spheres have been used to study the [[isotropic-nematic phase transition]] <ref>[http://dx.doi.org/10.1080/00268978400101951 R. Eppenga and D. Frenkel "Monte Carlo study of the isotropic and nematic phases of infinitely thin hard platelets", Molecular Physics '''52''' pp. 1303-1334 (1984)]</ref> in [[liquid crystals]], along with the [[cubatic phase]] <ref>[http://dx.doi.org/10.1103/PhysRevE.79.031702 Peter D. Duncan, Matthew Dennison, Andrew J. Masters, and Mark R. Wilson "Theory and computer simulation for the cubatic phase of cut spheres", Physical Review E '''79''' 031702 (2009)]</ref><ref>[http://dx.doi.org/10.1103/PhysRevE.84.011702 Peter D. Duncan, Andrew J. Masters, and Mark R. Wilson "Thermodynamic stability of the cubatic phase of hard cut spheres evaluated by expanded ensemble simulations", Physical Review E '''84''' 011702 (2011)]</ref>. | '''Hard disks in a three dimensional space''' <ref>[http://dx.doi.org/10.1103/PhysRevLett.49.1089 Daan Frenkel and Rob Eppenga "Monte Carlo Study of the Isotropic-Nematic Transition in a Fluid of Thin Hard Disks", Physical Review Letters '''49''' pp. 1089-1092 (1982)]</ref> (also known as platelets or '''hard-cut spheres''') are sections of spheres which have some thickness <math>L</math>, obtained by slicing off the diametrically opposed caps of a sphere at a distance <math>L/2</math> from the equatorial plane. Hard cut spheres have been used to study the [[isotropic-nematic phase transition]] <ref>[http://dx.doi.org/10.1080/00268978400101951 R. Eppenga and D. Frenkel "Monte Carlo study of the isotropic and nematic phases of infinitely thin hard platelets", Molecular Physics '''52''' pp. 1303-1334 (1984)]</ref> in [[liquid crystals]], along with the [[Columnar phase | columnar]] and [[cubatic phase]]s <ref>[http://dx.doi.org/10.1103/PhysRevE.79.031702 Peter D. Duncan, Matthew Dennison, Andrew J. Masters, and Mark R. Wilson "Theory and computer simulation for the cubatic phase of cut spheres", Physical Review E '''79''' 031702 (2009)]</ref><ref>[http://dx.doi.org/10.1103/PhysRevE.84.011702 Peter D. Duncan, Andrew J. Masters, and Mark R. Wilson "Thermodynamic stability of the cubatic phase of hard cut spheres evaluated by expanded ensemble simulations", Physical Review E '''84''' 011702 (2011)]</ref>. | ||
==See also== | ==See also== | ||
*[[Oblate hard spherocylinders]] | *[[Oblate hard spherocylinders]] | ||
Latest revision as of 13:19, 20 June 2012
Hard disks in a three dimensional space [1] (also known as platelets or hard-cut spheres) are sections of spheres which have some thickness , obtained by slicing off the diametrically opposed caps of a sphere at a distance from the equatorial plane. Hard cut spheres have been used to study the isotropic-nematic phase transition [2] in liquid crystals, along with the columnar and cubatic phases [3][4].
See also[edit]
References[edit]
- ↑ Daan Frenkel and Rob Eppenga "Monte Carlo Study of the Isotropic-Nematic Transition in a Fluid of Thin Hard Disks", Physical Review Letters 49 pp. 1089-1092 (1982)
- ↑ R. Eppenga and D. Frenkel "Monte Carlo study of the isotropic and nematic phases of infinitely thin hard platelets", Molecular Physics 52 pp. 1303-1334 (1984)
- ↑ Peter D. Duncan, Matthew Dennison, Andrew J. Masters, and Mark R. Wilson "Theory and computer simulation for the cubatic phase of cut spheres", Physical Review E 79 031702 (2009)
- ↑ Peter D. Duncan, Andrew J. Masters, and Mark R. Wilson "Thermodynamic stability of the cubatic phase of hard cut spheres evaluated by expanded ensemble simulations", Physical Review E 84 011702 (2011)
- Related reading
- J. A. C. Veerman and D. Frenkel "Phase behavior of disklike hard-core mesogens", Physical Review A 45 5632-5648 (1992)
- H. H. Wensink and H. N. W. Lekkerkerker "Phase diagram of hard colloidal platelets: a theoretical account", Molecular Physics 107 pp. 2111-2118 (2009)
- L. Wu, H.H. Wensink, G. Jackson and E.A. Müller "A generic equation of state for liquid crystalline phases of hard-oblate particles", Molecular Physics 110 pp. 1269-1288 (2012)