标题： 卡氏和开尔文的第二定律原理是否等价？ 显示英文标题

标题： Are the second law principles of Caratheodory and Kelvin equivalent?

摘要： 汤姆森·开尔文的假设是热力学第二定律的标准表述形式。 卡雷托德里原则也被视为该定律的不同形式。 兰斯伯格从开尔文假设推导出卡雷托德里原则，而邓宁-戴维斯则推导出其逆命题，以显示这两个原理的等价性，这些推导成为后来工作的先驱。 在这里，我们表明这些推导存在缺陷，因此无效。 这些作品中的谬误是由于这些作者采用了不可接受的开尔文假设的表述形式，并在其推导中考虑了不恰当的循环过程。 因此，卡雷托德里原则与开尔文的热力学第二定律原则之间的等价性仍未被证明。 显示英文摘要

摘要： Lord Kelvin's postulate is a standard form of statement of the second law of thermodynamics. Caratheodory's principle is also considered as a different form of this law. Landsberg deduced Caratheodory's principle from Kelvin's postulate and Dunning-Davies deduced its converse to show the equivalence of the two principles, and these deductions remained forerunners for later works. Here we show that these deductions are flawed and therefore, invalid. The fallacies in these works arose due to the fact that these authors had taken an inadmissible form of statement of Kevin's postulate and had considered an inappropriate cyclic process, for their deductions. The equivalence between Caratheodory's principle and Kelvin's principle of the second law, therefore, remains unproved.