On the equivalence of the Nernst theorem and its consequence

• URL: http://arxiv.org/abs/2209.07917v1
• Date: Fri, 16 Sep 2022 13:29:52 GMT
• Title: On the equivalence of the Nernst theorem and its consequence
• Authors: Shanhe Su, Yinghui Zhou, Guozhen Su, Jincan Chen
• Abstract summary: The various heat capacities of a thermodynamic system under different constraints approach zero as the temperature approaches absolute zero. The temperature dependence of the heat capacity of any thermodynamic system at ultra-low temperatures is revealed through this consequence.
• Score: 0.0
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: One general consequence of the Nernst theorem is derived, i.e., the various heat capacities of a thermodynamic system under different constraints approach zero as the temperature approaches absolute zero. The temperature dependence of the heat capacity of any thermodynamic system at ultra-low temperatures is revealed through this consequence. Moreover, the general form and the simplest expression of the heat capacities of thermodynamic systems at ultra-low temperatures are deduced. Some significant discussion and results are given. One new research method is provided by using this consequence. Finally, the equivalence between the Nernst theorem and its consequence is rigorously proved, so that this consequence may be referred to another description of the third law of thermodynamics.

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