10.10: J- Thermodynamic Master Equations
- Page ID
- 19083
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\(E(S, V, N)\)
\( d E=T d S-p d V+\mu d N\)
\( F(T, V, N)=E-T S\)
\( d F=-S d T-p d V+\mu d N\)
\( H(S, p, N)=E+p V\)
\( d H=T d S+V d p+\mu d N\)
\( G(T, p, N)=F+p V\)
\( d G=-S d T+V d p+\mu d N\)
\( \Pi(T, V, \mu)=F-\mu N=-p V\)
\( d \Pi=-S d T-p d V-N d \mu\)
\( p(T, \mu) \text { [intensive quantities only } ]\)
\( d p=\mathcal{S} d T+\rho d \mu \quad[\mathcal{S}=S / V, \quad \rho=N / V]\)