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caloric_equation_of_state [2013/10/13 16:00] nikolaj |
caloric_equation_of_state [2013/10/18 20:59] nikolaj |
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| | @#88DDEE: $ \Omega(\beta,\mu) $ ... grand potential | | | @#88DDEE: $ \Omega(\beta,\mu) $ ... grand potential | | ||
| - | | @#55EE55: $ U = \frac{\partial}{\partial\beta}(\beta\ \Omega) + \mu\cdot \langle\hat N\rangle $ | | + | | @#55EE55: $ U = \frac{\partial}{\partial\beta}(\beta\ \Omega) + \mu\ \langle\hat N\rangle $ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
| - | One can use the [[thermal equation of state]] to express $\langle\hat N\rangle$ in terms of $\Omega(\beta,\mu)$. | ||
| ==== Parents ==== | ==== Parents ==== | ||
| === Requirements === | === Requirements === | ||
| - | [[Particle number expectation value]], [[grand potential]] | + | [[Particle number expectation value]], [[Grand potential]] |
