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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>, 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>.
'''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>.
==See also==
==See also==
*[[Oblate hard spherocylinders]]
*[[Oblate hard spherocylinders]]
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