Timeline for A simple argument to go from entropy to energy?
Current License: CC BY-SA 4.0
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| Oct 13, 2023 at 16:04 | vote | accept | YoussefMabrouk | ||
| Sep 5, 2023 at 15:40 | comment | added | hyportnex | You wrote: "We expect the system to have two extremes : at high temperature the system is disordered and energy does not matter and at low temperature the system is ordered and entropy does not matter." In either case, what do you mean by "does not matter?" | |
| Sep 4, 2023 at 19:37 | answer | added | Andrew Steane | timeline score: 1 | |
| Sep 3, 2023 at 17:41 | answer | added | dgamma | timeline score: 1 | |
| Sep 3, 2023 at 17:13 | history | edited | YoussefMabrouk | CC BY-SA 4.0 |
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| Sep 2, 2023 at 6:03 | comment | added | DanielSank | This other question is relevant: physics.stackexchange.com/questions/231017. | |
| Sep 2, 2023 at 5:41 | history | edited | YoussefMabrouk | CC BY-SA 4.0 |
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| Sep 2, 2023 at 3:18 | comment | added | YoussefMabrouk | Yes, I agree with all comments. This is why I wrote in the question that the result is empirical. | |
| Sep 1, 2023 at 22:55 | answer | added | The_Sympathizer | timeline score: 2 | |
| Sep 1, 2023 at 19:52 | comment | added | hyportnex | You wrote: "how do you justify the multiplication of the "energy" T with the number of configuration ?", but nobody is saying that temperature is "energy" just because temperature can be measured in "energy units", instead because entropy is naturally calculated as a dimensionless number it is natural to account for temperature in energy units. The justification for the usefulness of or interest in any of the potentials, such as $F=U-TS$ or $G=U-TS +pV$, etc., is not found in statistical mechanics but in phenomenological thermodynamics where they are directly observable/measurable. | |
| Sep 1, 2023 at 19:15 | comment | added | naturallyInconsistent | That is not justified by such arguments. You have to construct an understanding based upon statistical thermodynamics and understand that it is ultimately due to the incredibly good agreement between experiments and theory that it is indeed a good theory. In fact, we know that the theory works, but it will not be easy to pin down the exact expression for entropy, because even comically bad choices can give good results too. What next leap in the choice of entropy function will come from a leap in understanding. | |
| Sep 1, 2023 at 18:47 | history | edited | YoussefMabrouk | CC BY-SA 4.0 |
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| Sep 1, 2023 at 18:46 | comment | added | YoussefMabrouk | Yes. Here is another way to ask : In the basic equation of free energy F = E - TS, how do you justify the multiplication of the "energy" T with the number of configuration ? Please note that I am asking for simple arguments rather than formalisms. | |
| Sep 1, 2023 at 18:06 | comment | added | naturallyInconsistent | If you have read Kittel & Kroemer's Thermal Physics, you will know that the natural units of entropy is dimensionless and that it is temperature that should have energy units. i.e. subsume the Boltzmann constant with temperature, and entropy becomes a pure number, as it should be. | |
| Sep 1, 2023 at 18:06 | history | edited | Qmechanic♦ |
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| Sep 1, 2023 at 17:44 | history | asked | YoussefMabrouk | CC BY-SA 4.0 |