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 (syntax error): {\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.

References