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caloric_equation_of_state [2013/10/13 16:00]
nikolaj
caloric_equation_of_state [2013/10/13 16:02]
nikolaj
Line 3: Line 3:
 | @#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]]
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