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Caloric equation of state
Theorem
$ \Omega(\beta,\mu) $ … grand potential |
$ U = \frac{\partial}{\partial\beta}(\beta\ \Omega) + \mu\ \langle\hat N\rangle $ |
Discussion
One can use the thermal equation of state to express $\langle\hat N\rangle$ in terms of $\Omega(\beta,\mu)$.