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classical_canonical_free_energy [2013/10/13 03:20] nikolaj |
classical_canonical_free_energy [2015/08/16 13:36] 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]]. | ||
| - | ==== Parents ==== | + | |
| - | === Requirements === | + | The usage of the free energy is similar to that of the cumulant-generating function. |
| + | === Reference === | ||
| + | Wikipedia: [[http://en.wikipedia.org/wiki/Cumulant-generating_function|Cumulant-generating function]] | ||
| + | |||
| + | ----- | ||
| + | === Context === | ||
| [[Classical canonical partition function]], [[Quantum canonical partition function]] | [[Classical canonical partition function]], [[Quantum canonical partition function]] | ||
