Liu hard disk equation of state: Difference between revisions

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<math>Z_{solid} = \frac{2}{\alpha} + 1.9 + \alpha - 5.2 \alpha^2 + 114.48 \alpha^4</math>
<math>Z_{solid} = \frac{2}{\alpha} + 1.9 + \alpha - 5.2 \alpha^2 + 114.48 \alpha^4</math>


where <math>\alpha = \frac{2}{3^{1/2} \rho \sigma^2}</math>
and <math>\alpha = \frac{2}{3^{1/2} \rho \sigma^2}</math>
 
 
{| border="1"
|-
| <math>b_1</math> || <math>- 1.04191 X 10^8</math>
|-
| <math>b_2</math>|| <math>2.66813 X 10^8</math>
|-
| <math>m_1</math> || 53
|-
| <math>m_2</math> || 56
|-
| <math>c </math> || 0.75
|}
 


==References==
==References==

Revision as of 20:09, 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:

The global EoS for all phases:

,

,

where:

and


53
56
0.75


References