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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关于能斯特定理的等价性及其推论

导出了能斯特定理的一个一般结论，即当温度接近绝对零时，在不同约束条件下热力学系统的各种热容量接近零。通过这个结果揭示了任何热力学系​​统在超低温下的热容量的温度依赖性。此外，还推导出了超低温热力学系统热容量的一般形式和最简单的表达式。给出了一些重要的讨论和结果。利用这一结果提供了一种新的研究方法。最后，严格证明了 Nernst 定理与其推论的等价性，使得该推论可以参考热力学第三定律的另一种描述。