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

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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^{1/3 \rho}</math> | + | where <math>\alpha = \frac{2}{3^{1/3} \rho}</math> |

==References== | ==References== |

## Revision as of 21:01, 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:

where