Gibbs-Duhem relation

The Gibbs-Duhem relation is given by

$SdT-Vdp+Nd\mu =0$

or

${\frac{\partial p}{\partial \mu }|}_T=\rho$

where $p$ is the pressure, $S$ is the entropy, $V$ is the volume, $\mu$ is the chemical potential and $\rho$ is the number density.

See also

• Gibbs-Duhem integration