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classical_grand_canonical_ensemble [2013/10/12 23:46] nikolaj |
classical_grand_canonical_ensemble [2015/08/18 20:33] nikolaj |
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| ===== Classical grand canonical ensemble === | ===== Classical grand canonical ensemble === | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#DDDDDD: $ N\in\mathbb N $ | | + | | @#DDDDDD: range | @#DDDDDD: $ N\in\mathbb N $ | |
| - | + | | @#FFBB00: definiendum | @#FFBB00: $ (\ \langle \mathcal M_N, H_N,\pi_N,\pi_{N,0},{\hat\rho}_N,{\hat\rho}_{N,0} \rangle\ )_N \in \mathrm{it} $ | | |
| - | | @#FFBB00: $ (\ \langle \mathcal M_N, H_N,\pi_N,\pi_{N,0},{\hat\rho}_N,{\hat\rho}_{N,0} \rangle\ )_N \in \mathrm{it} $ | | + | | @#55EE55: postulate | @#55EE55: $\forall N.\ \langle \mathcal M_N, H_N,\pi_N,\pi_{N,0},{\hat\rho}_N,{\hat\rho}_{N,0} \rangle$ ... classical canonical ensemble | |
| A sequence of phase spaces with their partition functions, one for each particle number. | A sequence of phase spaces with their partition functions, one for each particle number. | ||
| Line 9: | Line 9: | ||
| >todo: the $N$th manifold is a submanifold of the $N+1$'th. | >todo: the $N$th manifold is a submanifold of the $N+1$'th. | ||
| - | | @#55EE55: $\forall N.\ \langle \mathcal M_N, H_N,\pi_N,\pi_{N,0},{\hat\rho}_N,{\hat\rho}_{N,0} \rangle$ ... classical canonical ensemble | | + | ----- |
| - | + | === Discussion === | |
| - | ==== Discussion ==== | + | |
| === Reference === | === Reference === | ||
| Wikipedia: | Wikipedia: | ||
| [[https://en.wikipedia.org/wiki/Grand_canonical_ensemble|Grand canonical ensemble]] | [[https://en.wikipedia.org/wiki/Grand_canonical_ensemble|Grand canonical ensemble]] | ||
| - | ==== Parents ==== | + | |
| + | ----- | ||
| === Refinement of === | === Refinement of === | ||
| [[Classical canonical ensemble]] | [[Classical canonical ensemble]] | ||
