The vanishing of heat capacity as thermodynamic third law implies existence of singular systems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914876865118208 |
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| author | Xiao, S. F. Liu, Q. H. |
| author_facet | Xiao, S. F. Liu, Q. H. |
| contents | A corollary of the third law of thermodynamics is that the heat capacities of a system approach zero as the temperature approaches absolute zero Kevin. Many have attempted to take the corollary as the third law, but two counterexamples has been constructed explicitly. We present a theorem that the vanishing of heat capacity as the third law implies an existence of singular systems, and two known counterexamples are illustrations of the theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13774 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The vanishing of heat capacity as thermodynamic third law implies existence of singular systems Xiao, S. F. Liu, Q. H. Statistical Mechanics A corollary of the third law of thermodynamics is that the heat capacities of a system approach zero as the temperature approaches absolute zero Kevin. Many have attempted to take the corollary as the third law, but two counterexamples has been constructed explicitly. We present a theorem that the vanishing of heat capacity as the third law implies an existence of singular systems, and two known counterexamples are illustrations of the theorem. |
| title | The vanishing of heat capacity as thermodynamic third law implies existence of singular systems |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2407.13774 |