Timeline for Deriving partition function for various ensembles
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| May 11 at 10:52 | vote | accept | Arete | ||
| May 11 at 8:47 | history | edited | Syrocco | CC BY-SA 4.0 |
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| May 11 at 8:05 | comment | added | Syrocco | I added a small edit at the end, that might be useful | |
| May 11 at 8:05 | history | edited | Syrocco | CC BY-SA 4.0 |
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| May 11 at 6:32 | comment | added | Syrocco | Note also that the number of term in the exponential corresponds to the number of intensive variable you are fixing. | |
| May 11 at 6:21 | comment | added | Syrocco | I should not have said that as if it was a definition, more an observation (at least from my understanding, there might be a strong link if you start from a max entropy point of view and see how changing constraint affect the distribution/cumulant generating function). For each ensemble, you have a natural thermodynamics free energy and you define it as the log of a partition function (because it turns out to be useful). | |
| May 11 at 3:24 | comment | added | Arete | Thanks for your nice answer, but could you elaborate more with the statement 'partition function are the cumulant generating functions of the distribution exp(free energy or thermodynamic potential)'? Checking this for microcanonical/canonical ensemble looks obvious but I'm still not sure if this can be applied to any general ensemble. Since I've already derived the thermodynamic potential for all given ensembles, pretty much sure that this post would explain the derivation of all ensembles. | |
| May 10 at 18:40 | history | answered | Syrocco | CC BY-SA 4.0 |