Canonical ensemble: Difference between revisions
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* <math> \Lambda </math> is the [[de Broglie wavelength]] | * <math> \Lambda </math> is the [[de Broglie wavelength]] | ||
* <math> \beta = \frac{1}{k_B T} </math>, with <math> k_B </math> being the Boltzmann | * <math> \beta = \frac{1}{k_B T} </math>, with <math> k_B </math> being the [[Boltzmann constant]], | ||
* <math> U </math> is the potential energy, which depends on the coordinates of the particles (and on the interaction model) | * <math> U </math> is the potential energy, which depends on the coordinates of the particles (and on the interaction model) | ||
Revision as of 19:45, 19 February 2007
Canonical Ensemble:
Variables:
- Number of Particles,
- Volume,
- Temperature,
Partition Function
Classical Partition Function (one-component system) in a three-dimensional space:
![{\displaystyle Q_{NVT}={\frac {V^{N}}{N!\Lambda ^{3N}}}\int d(R^{*})^{3N}\exp \left[-\beta U\left(V,(R^{*})^{3N}\right)\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e0a1f8d5945d276d66dfbbee4f95a936b41a5a17)
where:
- is the de Broglie wavelength
- , with being the Boltzmann constant,
- is the potential energy, which depends on the coordinates of the particles (and on the interaction model)
