Liu hard disk equation of state: Difference between revisions
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:<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>\rho</math> is density and <math>\sigma</math> is the diameter of the disks. | ||
The EoS for the stable fluid, liquid-hexatic transition region and hexatic: | The EoS for the stable fluid, liquid-hexatic transition region and hexatic: |
Revision as of 19:59, 24 October 2020
The Liu equation of state for hard disks (2-dimensional hard spheres) is given by Eq. 1, 9 and 13 of [1].
For the stable fluid:
where the packing fraction is given by where is density and is the diameter of the disks.
The EoS for the stable fluid, liquid-hexatic transition region and hexatic:
The global EoS for all phases:
,
,
where:
and
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56 | |
0.75 |