Gibbs-Duhem relation

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The Gibbs-Duhem relation is given by

SdT -Vdp + Nd\mu =0

or

 \left.\frac{\partial p}{\partial \mu}\right\vert_{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[edit]