Hard cut sphere model
Hard disks in a three dimensional space [1] (also known as platelets or hard-cut spheres) are sections of spheres which have some thickness Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle L} , obtained by slicing off the diametrically opposed caps of a sphere at a distance Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle L/2} 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)