Liu hard disk equation of state: Difference between revisions
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<ref>[https://arxiv.org/abs/2010.10624]</ref>. | <ref>[https://arxiv.org/abs/2010.10624]</ref>. | ||
For stable fluid: | For the stable fluid: | ||
:<math>Z_v = \frac{1 + \eta^2/8 + \eta^4/18 - 4 \eta^4/21}{(1-\eta)^2} </math> | :<math>Z_v = \frac{1 + \eta^2/8 + \eta^4/18 - 4 \eta^4/21}{(1-\eta)^2} </math> | ||
where the packing fraction is given by <math>\eta = \pi \rho \sigma^2 /4 </math> where <math>\sigma</math> is the diameter of the disks. | where the packing fraction is given by <math>\eta = \pi \rho \sigma^2 /4 </math> where <math>\sigma</math> is the diameter of the disks. | ||
The EoS for stable fluid, liquid-hexatic transition region and hexatic: | The EoS for the stable fluid, liquid-hexatic transition region and hexatic: | ||
:<math> | :<math>Z_lh = Z_v + \frac{1 + \eta^2/8 + \eta^4/18 - 4 \eta^4/21}{(1-\eta)^2} </math> | ||
Revision as of 19:38, 22 October 2020
The Liu equation of state for hard disks (2-dimensional hard spheres) is given by Eq. 1 of [1].
For the stable fluid:
where the packing fraction is given by where is the diameter of the disks.
The EoS for the stable fluid, liquid-hexatic transition region and hexatic:
