Liu hard disk equation of state: Difference between revisions

From SklogWiki
Jump to navigation Jump to search
No edit summary
m (Expanded the reference details)
Line 1: Line 1:
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


53
56
0.75

References