Canonical ensemble

Canonical Ensemble:

Variables:

• Number of Particles, $N$

• Volume, $V$

• Temperature, $T$

Partition Function

Classical Partition Function (one-component system) in a three-dimensional space: $Q_{NVT}$

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

where:

• $\mathrm{\Lambda }$ is the de Broglie wavelength