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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 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. | | The '''oblate hard spherocylinder''' model, 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]].
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| ==Overlap algorithm==
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| 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>.
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| ==Excluded volume==
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| [[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>.
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| ==Virial coefficients==
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| [[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>
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| <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>
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| ==Isotropic-nematic transition==
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| [[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>.
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| ==Columnar phase==
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| 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>
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| ==See also== | | ==See also== |
| *[[Discotic liquid crystals]] | | *[[Discotic liquid crystals]] |
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| <references/> | | <references/> |
| ;Related reading | | ;Related reading |
| *[http://dx.doi.org/10.1103/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)]
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| *[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)]
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| *[http://dx.doi.org/10.1080/00268976.2011.649794 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)]
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| *[http://dx.doi.org/10.1080/00268976.2013.771802 Francisco Gámez, Rafael D. Acemel and Alejandro Cuetos "Demixing and nematic behaviour of oblate hard spherocylinders and hard spheres mixtures: Monte Carlo simulation and Parsons–Lee theory", Molecular Physics '''111''' pp. 3136-3146 (2013)]
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| [[Category: Models]] | | [[Category: Models]] |