The vanishing of heat capacity as thermodynamic third law implies existence of singular systems

S. F. Xiao; Q. H. Liu

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arXiv · 2407.13774

The vanishing of heat capacity as thermodynamic third law implies existence of singular systems

S. F. Xiao·Q. H. Liu

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Abstract

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.

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S. F. Xiao, Q. H. Liu. 2024-06-27. The vanishing of heat capacity as thermodynamic third law implies existence of singular systems. https://arxiv.org/abs/2407.13774

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