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classical_canonical_free_energy [2013/11/07 19:15] nikolaj |
classical_canonical_free_energy [2015/08/16 13:36] (current) nikolaj |
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===== Classical canonical free energy === | ===== Classical canonical free energy === | ||
- | ==== Definition ==== | + | ==== Set ==== |
- | | @#88DDEE: $ Z(\beta) $ ... canonical partition function (classical or quantum) | | + | | @#55CCEE: context | @#55CCEE: $ Z(\beta) $ ... canonical partition function (classical or quantum) | |
+ | | @#FFBB00: definiendum | @#FFBB00: $F(\beta):=-\frac{1}{\beta} \mathrm{ln}(Z(\beta)) $ | | ||
- | | @#FFBB00: $F(\beta):=-\frac{1}{\beta} \mathrm{ln}(Z(\beta)) $ | | + | ----- |
- | + | === Discussion === | |
- | ==== Discussion ==== | + | |
This mirrors the [[Classical microcanonical entropy]]. | This mirrors the [[Classical microcanonical entropy]]. | ||
- | The useage of the free energy is similar to that of the cumulant-generating function. | + | The usage of the free energy is similar to that of the cumulant-generating function. |
=== Reference === | === Reference === | ||
Wikipedia: [[http://en.wikipedia.org/wiki/Cumulant-generating_function|Cumulant-generating function]] | Wikipedia: [[http://en.wikipedia.org/wiki/Cumulant-generating_function|Cumulant-generating function]] | ||
- | ==== Parents ==== | + | |
- | === Requirements === | + | ----- |
+ | === Context === | ||
[[Classical canonical partition function]], [[Quantum canonical partition function]] | [[Classical canonical partition function]], [[Quantum canonical partition function]] |