===== Classical grand canonical ensemble ===
==== Set ====
| @#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} $ |
| @#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.

>todo: the $N$th manifold is a submanifold of the $N+1$'th.

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=== Discussion ===
=== Reference ===
Wikipedia: 
[[https://en.wikipedia.org/wiki/Grand_canonical_ensemble|Grand canonical ensemble]]

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=== Refinement of ===
[[Classical canonical ensemble]]