Failure of standard density functional theory to describe the phase behavior of a fluid of hard right isosceles triangles

@article{MartnezRatn2021FailureOS,
  title={Failure of standard density functional theory to describe the phase behavior of a fluid of hard right isosceles triangles},
  author={Yuri Mart{\'i}nez-Rat{\'o}n and Enrique Velasco},
  journal={Physical Review E},
  year={2021}
}
A fluid of hard right isosceles triangles was studied using an extension of Scaled-Particle DensityFunctional Theory which includes the exact third virial coefficient. We show that the only orientationally ordered stable liquid-crystal phase predicted by the theory is the uniaxial nematic phase, in agreement with the second-order virial theory. By contrast, Monte Carlo simulations predict exotic liquid-crystal phases exhibiting tetratic and octatic correlations, with orientational distribution… 

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