Liu hard disk equation of state: Difference between revisions
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The '''Liu''' [[Equations of state | equation of state]] for [[hard disks]] (2-dimensional [[hard sphere model | hard spheres]]) is given by Eq. 1 of | The '''Liu''' [[Equations of state | equation of state]] for [[hard disks]] (2-dimensional [[hard sphere model | hard spheres]]) is given by Eq. 1 of | ||
<ref>[https://arxiv.org/abs/2010.10624]</ref> | <ref>[https://arxiv.org/abs/2010.10624]</ref> | ||
:<math>Z = \frac{1 + \eta^2/8 + \eta^4/18 - \eta^4/21}{(1-\eta)^2} </math> | :<math>Z = \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. | ||
Revision as of 19:30, 22 October 2020
The Liu equation of state for hard disks (2-dimensional hard spheres) is given by Eq. 1 of [1]
where the packing fraction is given by where is the diameter of the disks.
