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

Carl McBride (talk | contribs) m (Expanded the reference details) |
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The '''Liu''' [[Equations of state | equation of state]] for [[hard disks]] (2-dimensional [[hard sphere model | hard spheres]]) is given by Eq. 1, 9 and 13 of | The '''Liu''' [[Equations of state | equation of state]] for [[hard disks]] (2-dimensional [[hard sphere model | hard spheres]]) is given by Eq. 1, 9 and 13 of | ||

− | <ref>[https://arxiv.org/abs/2010.10624]</ref>. | + | <ref>[https://arxiv.org/abs/2010.10624 Hongqin Liu "Global equation of state and phase transitions of the hard disc systems", arXiv:2010.10624 (2020)]</ref>. |

For the stable fluid: | For the stable fluid: |

## Revision as of 10:51, 27 October 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

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0.75 |