Liu hard disk equation of state: Difference between revisions

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For the 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^3/18 - 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>\rho</math> is density and <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.

Revision as of 02:59, 11 November 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


53
56
0.75

References