Timeline for Does specific heat capacity depend on temperature of the substance?
Current License: CC BY-SA 4.0
9 events
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| Dec 19, 2022 at 8:55 | comment | added | LPZ | I meant that it will typically have a finite limit at high temperature (in the harmonic case, $C\to nk_B/2$ with $n$ the number of nodes). Looking at the $C$ vs $T$ curve (which is often increasing), this will result in a horizontal asymptote. This is also illustrated in the mentioned example (quantum harmonic oscillator), though $x\propto 1/T$ so the high temperature limit is when $x\to0$ | |
| Dec 19, 2022 at 8:04 | comment | added | Jonathan Huang | @Ipz You mentioned that the heat capacity flattens out in the high temperature limit due to the equipartition theorem, what does this mean? | |
| May 3, 2022 at 11:58 | comment | added | LPZ | It depends a lot on your model, there is no general formula. There are some generic examples, if you have a gapped ground state, you have an exponential decrease just as in the above example with the harmonic oscillator. If you have many modes, you typically have a power law like for the Debye model or blackbody radiation. | |
| May 3, 2022 at 11:48 | comment | added | Udit Chauhan | @lpz with what relation specific heat varies with temperature at low temperatures? | |
| May 3, 2022 at 11:14 | vote | accept | Udit Chauhan | ||
| May 3, 2022 at 8:39 | history | edited | LPZ | CC BY-SA 4.0 |
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| May 3, 2022 at 8:36 | comment | added | LPZ | Yes sorry, terminology mix up. | |
| May 3, 2022 at 8:27 | comment | added | Poutnik | or the constant heat capacity of ideal gases // Note that ideal gases do not have generally constant heat capacity. Ideal gases with the constant heat capacity are called perfect gases, as a subset of ideal gases. | |
| May 3, 2022 at 8:13 | history | answered | LPZ | CC BY-SA 4.0 |