Difference between revisions of "Liu hard disk equation of state"

From SklogWiki
Jump to: navigation, search
Line 8: Line 8:
  
 
The EoS for the stable fluid, liquid-hexatic transition region and hexatic:
 
The EoS for the stable fluid, liquid-hexatic transition region and hexatic:
:<math>Z_l_h = Z_v + \frac{1 + \eta^2/8 + \eta^4/18 - 4 \eta^4/21}{(1-\eta)^2} </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 19:39, 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:

Z_v = \frac{1 + \eta^2/8 + \eta^4/18 - 4 \eta^4/21}{(1-\eta)^2}

where the packing fraction is given by \eta = \pi \rho \sigma^2 /4 where \sigma is the diameter of the disks.

The EoS for the stable fluid, liquid-hexatic transition region and hexatic:

Z_(lh) = Z_v + \frac{1 + \eta^2/8 + \eta^4/18 - 4 \eta^4/21}{(1-\eta)^2}


References