Thermal stability originates the vanishing of the specific heats at the absolute zero
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909950320574464 |
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| author | Martín-Olalla María, José |
| author_facet | Martín-Olalla María, José |
| contents | The relationship between the vanishing of the heat capacities as $T\to0^+$ and the thermal stability is examined. The heat capacities vanish as fast as or faster than $T$ as $T\to0^+$ for states at the phase space boundary ($T=0$) to sustain the standard thermal stability criterion $U_{ss}>0$. Conversely, weakly vanishing heat capacities, which signify a loss of curvature in $U(S)$ at $T=0$, are the signature of a critical condition precisely at $T=0$, as exemplified in marginal Fermi liquids. Therefore, the vanishing of the specific heat should be viewed not as a new law but as a confirmatory result of the existing framework of thermodynamics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_05129 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thermal stability originates the vanishing of the specific heats at the absolute zero Martín-Olalla María, José Statistical Mechanics Strongly Correlated Electrons Chemical Physics Classical Physics History and Philosophy of Physics The relationship between the vanishing of the heat capacities as $T\to0^+$ and the thermal stability is examined. The heat capacities vanish as fast as or faster than $T$ as $T\to0^+$ for states at the phase space boundary ($T=0$) to sustain the standard thermal stability criterion $U_{ss}>0$. Conversely, weakly vanishing heat capacities, which signify a loss of curvature in $U(S)$ at $T=0$, are the signature of a critical condition precisely at $T=0$, as exemplified in marginal Fermi liquids. Therefore, the vanishing of the specific heat should be viewed not as a new law but as a confirmatory result of the existing framework of thermodynamics. |
| title | Thermal stability originates the vanishing of the specific heats at the absolute zero |
| topic | Statistical Mechanics Strongly Correlated Electrons Chemical Physics Classical Physics History and Philosophy of Physics |
| url | https://arxiv.org/abs/2512.05129 |