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 <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. | 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 whose major radius is equal to the radius of the cylinder, and whose minor radius is equal to half of the height of the cylinder. | ||
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== | ==Overlap algorithm== | ||
Revision as of 16:08, 2 March 2011
The oblate hard spherocylinder model [1], also known as a discotic spherocylinder, consists of an impenetrable cylinder, surrounded by a torus whose major radius is equal to the radius of the cylinder, and whose minor radius is equal to half of the height of the cylinder. 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].
Excluded volume
Virial coefficients
Columnar phase
Oblate hard spherocylinders form a columnar phase [5]
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)
- ↑ Bela M. Mulder "The excluded volume of hard sphero-zonotopes", Molecular Physics 103 pp. 1411-1424 (2005)
- ↑ 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
- J. Šedlbauer, S. Labík, and A. Malijevský "Monte Carlo and integral-equation studies of hard-oblate-spherocylinder fluids", Physical Preview E 49 pp. 3179-3183 (1994)
- 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)