Abstract
We extend the analysis of orientational first-order phase transitions in anisotropic molecular fluids at high spatial dimensionality to hard-disk fluids, and then to mixture of hard disks and hard spheres. The effect of hard-sphere admixture depends sensitively on the relative sizes of the two geometrical objects, and large spheres completely quench the disk transition. An introductory study is made of spatially ordered states.
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Yukhimets, A., Frisch, H.L. & Percus, J.K. Molecular Fluids at High Dimensionality. Journal of Statistical Physics 100, 135–151 (2000). https://doi.org/10.1023/A:1018635527522
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DOI: https://doi.org/10.1023/A:1018635527522