Timeline for How should I interpret this thermodynamic inequality?
Current License: CC BY-SA 4.0
9 events
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| Mar 19, 2020 at 20:37 | comment | added | user224659 | @insomniac I don't insist. I just took out my beloved Landau and looked at eq. 13.7 and 13.8. Your right, Landau uses both notations. And your right, it's technically not wrong. But I quite like the distinction between exact and inexact differentials. | |
| Mar 19, 2020 at 18:32 | comment | added | insomniac | @TheoreticalMinimum So, yeah unless you strongly insist, i'll let it be, if for nothing else, just to break the tyranny of universal notation ;) Besides, I think this exchange in the comments adds something to this answer, and it would be made redundant if I actually changed the $\delta$ to $d$ | |
| Mar 19, 2020 at 18:30 | comment | added | insomniac | @TheoreticalMinimum : again, my understanding is that $\delta$ is used to denote an infinitesimal change in something, irrespective of if it is a total derivative or not. However, $d$ is used to denote a total differential. So, it might be confusing if, for example, one saw $dQ$ (although, one often sees that as well). But there should be no confusion if one saw $\delta S$, which just denotes an infinitesimal change in $S$. Landau's Statistical Physics (3rd Ed), text leading up to eq. 13.8 has a good discussion. | |
| Mar 19, 2020 at 12:26 | comment | added | user224659 | @insomniac I also think you should change $\delta S\rightarrow dS$, so that it's clear that $S$ is a state variable | |
| Mar 19, 2020 at 6:02 | comment | added | insomniac | @electronpusher isn't usage of $d$ vs $\delta$ just a matter of convention though? Of course, that does not change the fact that an equilibrium state is characterized by state variables, one of which is $S$, but there is no state variable $Q$ for heat (which is my understanding of what is meant by the words "exact" and "inexact") | |
| Mar 19, 2020 at 0:05 | comment | added | electronpusher | Is the $\delta$ in front of $S$ meant to imply an inexact differential? Shouldn't it be $dS$? | |
| Mar 18, 2020 at 22:09 | vote | accept | Dabruh | ||
| Mar 18, 2020 at 21:40 | history | edited | insomniac | CC BY-SA 4.0 |
added 21 characters in body
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| Mar 18, 2020 at 21:34 | history | answered | insomniac | CC BY-SA 4.0 |