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arXiv 1102.4235physics.gen-ph
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Caratheodory和Kelvin的第二定律原理是等价的吗?

Are the second law principles of Caratheodory and Kelvin equivalent?

Radhakrishnamurty Padyala

摘要:

开尔文勋爵公设是热力学第二定律的标准表述形式。Caratheodory的原则也被认为是这一法律的不同形式。兰茨贝格推导出Caratheodory的原则,从开尔文的公设和邓宁戴维斯推导其逆,以显示这两个原则的等价性,这些扣除仍然为后来的作品的先驱。在这里,我们表明这些扣除是有缺陷的,因此是无效的。这些作品中的谬误是由于这样一个事实,即这些作者采取了不可接受的形式陈述凯文的假设,并考虑了一个不适当的循环过程,为他们的演绎。因此,Caratheodory原理和Kelvin第二定律原理之间的等价性仍未得到证明。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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