Canonical ensemble
From SklogWiki
Variables:
- Number of Particles, N
- Volume, V
- Temperature, T
[edit] Partition Function
The classical partition function for a one-component system in a three-dimensional space, QNVT, is given by:
![Q_{NVT} = \frac{V^N}{N! \Lambda^{3N} } \int d (R^*)^{3N} \exp \left[ - \beta U \left( V, (R^*)^{3N} \right) \right]](/SklogWiki/images/math/c/1/8/c18c854330c6ed5a8e80fbeb358e02b7.png)
where:
- Λ is the de Broglie thermal wavelength (depends on the temperature)
-
, with kB being the Boltzmann constant, and T the temperature.
- U is the potential energy, which depends on the coordinates of the particles (and on the interaction model)
-
represent the 3N position coordinates of the particles (reduced with the system size): i.e. 
