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<div>[[Image:oblate_spherocylinder.png|thumb|right]]<br />
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.<br />
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]].<br />
==Overlap algorithm==<br />
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>.<br />
==Excluded volume==<br />
[[Excluded volume]] <ref>[http://dx.doi.org/10.1080/00268970500077590 Bela M. Mulder "The excluded volume of hard sphero-zonotopes", Molecular Physics '''103''' pp. 1411-1424 (2005)]</ref>.<br />
==Virial coefficients==<br />
[[Virial equation of state | Virial coefficients]] <ref>[http://dx.doi.org/10.1007/BF01588945 I. Nezbeda and T. Boublík "Hard oblate spherocylinders: Monte carlo virial coefficients", Czechoslovak Journal of Physics '''27''' pp. 953-956 (1977)]</ref><br />
<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><br />
==Isotropic-nematic transition==<br />
[[Isotropic-nematic phase transition]] <ref>[http://dx.doi.org/10.1016/j.cplett.2010.05.094 F. Gámez, P.J. Merkling and S. Lago "Parsons–Lee approach for oblate hard spherocylinders", Chemical Physics Letters '''494''' pp. 45-49 (2010)]</ref>.<br />
==Columnar phase==<br />
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><br />
==See also==<br />
*[[Discotic liquid crystals]]<br />
*[[Hard spherocylinders]]<br />
==References==<br />
<references/><br />
;Related reading<br />
*[http://dx.doi.org/10.1103/PhysRevE.49.3179 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)] <br />
*[http://dx.doi.org/10.1080/08927020902833111 Bruno Martinez-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)]<br />
[[Category: Models]]</div>80.59.26.67