Liu hard disk equation of state: Difference between revisions

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The EoS for the stable fluid, liquid-hexatic transition region and hexatic:
The EoS for the stable fluid, liquid-hexatic transition region and hexatic:
:<math>Z_lh = Z_v + \frac{1 + \eta^2/8 + \eta^4/18 - 4 \eta^4/21}{(1-\eta)^2} </math>
:<math>Z_l_h = Z_v + \frac{1 + \eta^2/8 + \eta^4/18 - 4 \eta^4/21}{(1-\eta)^2} </math>





Revision as of 19:38, 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:

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. TeX parse error: Double subscripts: use braces to clarify"): {\displaystyle Z_{l}_{h}=Z_{v}+{\frac {1+\eta ^{2}/8+\eta ^{4}/18-4\eta ^{4}/21}{(1-\eta )^{2}}}}


References