Pressure equation

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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 \int_0^{\infty} \left( \frac{{\rm d}\Phi(r)} {{\rm d}r}~r \right)~{\rm g}(r)r^2~{\rm d}r

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