Pressure

The pressure is given by

$p=-\left.{\frac {\partial A}{\partial V}}\right\vert _{T,N}=kT\left.{\frac {\partial \ln Q}{\partial V}}\right\vert _{T,N}$

where $A$ is the Helmholtz energy function, $V$ is the volume and $Q(N,V,T)$ is the canonical ensemble partition function.

See also

• Pressure equation