Pressure equation

The pressure equation, also known as the virial equation is given by

$P^{*}=\frac{\beta P}{\rho }=\frac{PV}{NkT}=1-\beta \frac{2}{3}\pi \rho \underset{0}{\overset{\mathrm{\infty }}{\int }}(\frac{\mathrm{d}\mathrm{\Phi }(r)}{\mathrm{d}r}r)\mathrm{g}(r)r^2\mathrm{d}r$

where $\mathrm{\Phi }(r)$ is a central potential and $\mathrm{g}(r)$ is the pair distribution function.