## Classical grand canonical ensemble

### Set

 range $N\in\mathbb N$ definiendum $(\ \langle \mathcal M_N, H_N,\pi_N,\pi_{N,0},{\hat\rho}_N,{\hat\rho}_{N,0} \rangle\ )_N \in \mathrm{it}$ postulate $\forall N.\ \langle \mathcal M_N, H_N,\pi_N,\pi_{N,0},{\hat\rho}_N,{\hat\rho}_{N,0} \rangle$ … 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.