Boublik 2D hard convex body equation of state

Boublik 2D hard convex body equation of state

Helmholtz energy function (Eq. 8):

${\frac {\Delta A}{RT}}=-\ln(1-y)+{\frac {\gamma y(1+cy)}{1-y}}$

where $y$ is the packing fraction and $c$ is an unknown parameter and $\gamma$ is the non-sphericity factor.

Compressibility factor (Eq. 9)

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle Z={\frac {1}{1-y}}+{\frac {\gamma y\left(1+2cy-cy^{2}\right)}{(1-y)^{2}}}}

For the hard disk model (Eq. 11)

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle Z={\frac {1}{1-y}}+{\frac {\gamma y\left[1+\gamma \left(y/7-y^{2}/14\right)\right]}{(1-y)^{2}}}}

where 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 \gamma =1}