Liu hard disk equation of state: Difference between revisions
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:<math>Z = \frac{1 + \eta^2/8 - \eta^4/10}{(1-\eta)^2} </math> | :<math>Z = \frac{1 + \eta^2/8 - \eta^4/10}{(1-\eta)^2} </math> | ||
:<math>Z = \frac{1 + \eta^2/8 + \eta^4/18- \4 \eta^4/21}{(1-\eta)^2} </math> | :<math>Z = \frac{1 + \eta^2/8 + \eta^4/18 - \4 \eta^4/21}{(1-\eta)^2} </math> | ||
where the packing fraction is given by <math>\eta = \pi \rho \sigma^2 /4 </math> where <math>\sigma</math> is the diameter of the disks. | where the packing fraction is given by <math>\eta = \pi \rho \sigma^2 /4 </math> where <math>\sigma</math> is the diameter of the disks. | ||
Revision as of 19:27, 22 October 2020
The Liu equation of state for hard disks (2-dimensional hard spheres) is given by Eq. 1 of [1]
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Z = \frac{1 + \eta^2/8 + \eta^4/18 - \4 \eta^4/21}{(1-\eta)^2} }
where the packing fraction is given by where is the diameter of the disks.
