Liu hard disk equation of state: Difference between revisions
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m (The definition of alpha was missing a -1. See right below Equation (13) on pp. 5 of Liu's paper.) |
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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> | ||
and <math>\alpha = \frac{2}{3^{1/2} \rho \sigma^2}</math> | and <math>\alpha = \frac{2}{3^{1/2} \rho \sigma^2} - 1</math> | ||
Latest revision as of 18:53, 28 February 2024
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 |