Oblate hard spherocylinders

The oblate hard spherocylinder model , 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 .

Excluded volume

Excluded volume .

Virial coefficients

Virial coefficients

Isotropic-nematic transition

Isotropic-nematic phase transition .

Columnar phase

Oblate hard spherocylinders form a columnar phase

See also

• Discotic liquid crystals
• Hard spherocylinders

References

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)