# Oblate hard spherocylinders

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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[edit]

An overlap algorithm is provided in the appendix of ^{[2]}.

## Excluded volume[edit]

Excluded volume ^{[3]}.

## Virial coefficients[edit]

Virial coefficients ^{[4]}
^{[5]}

## Isotropic-nematic transition[edit]

Isotropic-nematic phase transition ^{[6]}.

## Columnar phase[edit]

Oblate hard spherocylinders form a columnar phase ^{[7]}

## See also[edit]

## References[edit]

- ↑ 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) - ↑ I. Nezbeda and T. Boublík "Hard oblate spherocylinders: Monte carlo virial coefficients", Czechoslovak Journal of Physics
**27**pp. 953-956 (1977) - ↑ 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) - ↑ F. Gámez, P.J. Merkling and S. Lago "Parsons–Lee approach for oblate hard spherocylinders", Chemical Physics Letters
**494**pp. 45-49 (2010) - ↑ 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 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) - 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) - 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)