Oblate hard spherocylinders: Difference between revisions
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[[Image:oblate_spherocylinder.png|thumb|right]] | [[Image:oblate_spherocylinder.png|thumb|right]] | ||
The '''oblate hard spherocylinder''' model, also known as a discotic spherocylinder, consists of an impenetrable cylinder, surrounded by a torus. | The '''oblate hard spherocylinder''' model <ref>[http://dx.doi.org/10.1080/00268978400102401 M. Wojcik and K. E. Gubbins "Thermodynamics and structure of hard oblate spherocylinder fluids", Molecular Physics '''53''' pp. 397-420 (1984)]</ref>, also known as a discotic spherocylinder, consists of an impenetrable cylinder, surrounded by a torus. | ||
In the limit of zero diameter the oblate hard spherocylinder becomes a [[hard sphere model | hard sphere]], and in the limit of zero width one has the [[Hard disks in a three dimensional space | hard disk]]. A closely related model is that of the [[hard spherocylinders | hard spherocylinder]]. | In the limit of zero diameter the oblate hard spherocylinder becomes a [[hard sphere model | hard sphere]], and in the limit of zero width one has the [[Hard disks in a three dimensional space | hard disk]]. A closely related model is that of the [[hard spherocylinders | hard spherocylinder]]. | ||
==Overlap algorithm== | |||
An overlap algorithm is provided in the appendix of <ref>[http://dx.doi.org/10.1063/1.3552951 Matthieu Marechal, Alejandro Cuetos, Bruno Martínez-Haya, and Marjolein Dijkstra " Phase behavior of hard colloidal platelets using free energy calculations", Journal of Chemical Physics '''134''' 094501 (2011)]</ref>. | |||
==Virial coefficients== | |||
[[Virial equation of state | Virial coefficients]] <ref>[http://dx.doi.org/10.1080/00268978900100861 W. R. Cooney, S. M. Thompson and K. E. Gubbins "Virial coefficients for the hard oblate spherocylinder fluid", Molecular Physics '''66''' pp. 1269-1272 (1989)]</ref> | |||
==Columnar phase== | |||
Oblate hard spherocylinders form a [[columnar phase]] <ref>[http://dx.doi.org/10.1063/1.3028539 Alejandro Cuetos and Bruno Martínez-Haya "Columnar phases of discotic spherocylinders", Journal of Chemical Physics '''129''' 214706 (2008)]</ref> | |||
==See also== | ==See also== | ||
*[[Discotic liquid crystals]] | *[[Discotic liquid crystals]] | ||
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<references/> | <references/> | ||
;Related reading | ;Related reading | ||
*[http://dx.doi.org/10.1080/08927020902833111 Bruno Martiacutenez-Haya and Alejandro Cuetos "Simulation study of discotic molecules in the vicinity of the isotropic-liquid crystal transition", Molecular Simulation '''35''' pp. 1077-1083 (2009)] | |||
[[Category: Models]] | [[Category: Models]] | ||
Revision as of 13:18, 2 March 2011
The oblate hard spherocylinder model [1], also known as a discotic spherocylinder, consists of an impenetrable cylinder, surrounded by a torus. In the limit of zero diameter the oblate hard spherocylinder becomes a hard sphere, and in the limit of zero width one has the hard disk. A closely related model is that of the hard spherocylinder.
Overlap algorithm
An overlap algorithm is provided in the appendix of [2].
Virial coefficients
Columnar phase
Oblate hard spherocylinders form a columnar phase [4]
See also
References
- ↑ M. Wojcik and K. E. Gubbins "Thermodynamics and structure of hard oblate spherocylinder fluids", Molecular Physics 53 pp. 397-420 (1984)
- ↑ Matthieu Marechal, Alejandro Cuetos, Bruno Martínez-Haya, and Marjolein Dijkstra " Phase behavior of hard colloidal platelets using free energy calculations", Journal of Chemical Physics 134 094501 (2011)
- ↑ W. R. Cooney, S. M. Thompson and K. E. Gubbins "Virial coefficients for the hard oblate spherocylinder fluid", Molecular Physics 66 pp. 1269-1272 (1989)
- ↑ Alejandro Cuetos and Bruno Martínez-Haya "Columnar phases of discotic spherocylinders", Journal of Chemical Physics 129 214706 (2008)
- Related reading