Plate-Nematic Phase in Three Dimensions

@article{Disertori2018PlateNematicPI,
  title={Plate-Nematic Phase in Three Dimensions},
  author={Margherita Disertori and Alessandro Giuliani and Ian Jauslin},
  journal={Communications in Mathematical Physics},
  year={2018},
  volume={373},
  pages={327 - 356}
}
We consider a system of anisotropic plates in the three-dimensional continuum, interacting via purely hard core interactions. We assume that the particles have a finite number of allowed orientations. In a suitable range of densities, we prove the existence of a uni-axial nematic phase, characterized by long range orientational order (the minor axes are aligned parallel to each other, while the major axes are not) and no translational order. The proof is based on a coarse graining procedure… 
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