# Liu hard disk equation of state

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 |