Differences
This shows you the differences between two versions of the page.
Both sides previous revision Previous revision | |||
classical_canonical_ensemble [2014/03/21 11:11] 127.0.0.1 external edit |
classical_canonical_ensemble [2015/08/18 20:30] nikolaj |
||
---|---|---|---|
Line 2: | Line 2: | ||
==== Set ==== | ==== Set ==== | ||
| @#FFBB00: definiendum | @#FFBB00: $ \langle \mathcal M, H,{\hat\rho}\rangle \in \mathrm{it} $ | | | @#FFBB00: definiendum | @#FFBB00: $ \langle \mathcal M, H,{\hat\rho}\rangle \in \mathrm{it} $ | | ||
- | |||
| @#55EE55: postulate | @#55EE55: $\langle \mathcal M, H,{\hat\rho},{\hat\rho}_0\rangle$ ... classical statistical ensemble | | | @#55EE55: postulate | @#55EE55: $\langle \mathcal M, H,{\hat\rho},{\hat\rho}_0\rangle$ ... classical statistical ensemble | | ||
- | |||
- | |||
| @#55EE55: postulate | @#55EE55: $\hat\rho: \mathbb R\to(\Gamma_{\mathcal M} \to\mathbb R_+) $ | | | @#55EE55: postulate | @#55EE55: $\hat\rho: \mathbb R\to(\Gamma_{\mathcal M} \to\mathbb R_+) $ | | ||
| @#55EE55: postulate | @#55EE55: $\hat\rho(\beta;{\bf q},{\bf p}):=\mathrm{e}^{-\beta\ H({\bf q},{\bf p})}$ | | | @#55EE55: postulate | @#55EE55: $\hat\rho(\beta;{\bf q},{\bf p}):=\mathrm{e}^{-\beta\ H({\bf q},{\bf p})}$ | | ||
- | ==== Discussion ==== | + | ----- |
+ | === Discussion === | ||
== Equivalence of the microcanonical and canonical ensemble == | == Equivalence of the microcanonical and canonical ensemble == | ||
Line 24: | Line 22: | ||
Wikipedia: | Wikipedia: | ||
[[http://en.wikipedia.org/wiki/Microcanonical_ensemble|Canonical ensemble]], [[http://en.wikipedia.org/wiki/Maxwell%E2%80%93Boltzmann_statistics|Maxwell–Boltzmann statistics]] | [[http://en.wikipedia.org/wiki/Microcanonical_ensemble|Canonical ensemble]], [[http://en.wikipedia.org/wiki/Maxwell%E2%80%93Boltzmann_statistics|Maxwell–Boltzmann statistics]] | ||
- | ==== Parents ==== | + | |
+ | ----- | ||
=== Refinement of === | === Refinement of === | ||
[[Classical statistical ensemble]] | [[Classical statistical ensemble]] | ||
=== Context === | === Context === | ||
[[Exponential function]] | [[Exponential function]] |