Algebraic equations of state for the liquid crystalline phase behavior of hard rods.

@article{Peters2020AlgebraicEO,
  title={Algebraic equations of state for the liquid crystalline phase behavior of hard rods.},
  author={Vincent F D Peters and Mark Vis and Henricus Herman Wensink and Remco Tuinier},
  journal={Physical review. E},
  year={2020},
  volume={101 6-1},
  pages={
          062707
        }
}
Based on simplifications of previous numerical calculations [H. Graf and H. Löwen, Phys. Rev. E 59, 1932 (1999)1063-651X10.1103/PhysRevE.59.1932], we propose algebraic free energy expressions for the smectic-A liquid crystal phase and the crystal phases of hard spherocylinders. Quantitative agreement with simulations is found for the resulting equations of state. The free energy expressions can be used to straightforwardly compute the full phase behavior for all aspect ratios and to provide a… 
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