Canonical ensemble

Canonical Ensemble:

Variables:

• Number of Particles, $N$

• Volume, $V$

• Temperature, $T$

Partition Function

Classical Partition Function (one-component system): $Q_{NVT}$

$Q_{NVT}=\frac{V^N}{N!{\mathrm{\Lambda }}^{3N}}\int \text{d}{\mathbf{R}}^{*}\exp [-\beta U(V.{\mathbf{R}}^{*})]$