arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv quant-ph/0610005quant-phcond-mat.stat-mech
收藏

热力学第二定律的广义信息论证明

A General Information Theoretical Proof for the Second Law of Thermodynamics

Qi-Ren Zhang

摘要:

我们证明了在一个孤立系中,信息的守恒性和非可加性以及熵的可加性使得熵增加。纠缠量子态的坍缩提供了信息非可加性的一个例子。然而,后者也适用于其他领域,其中交互信息是重要的。例如经典的统计力学、社会统计和金融过程。因此,热力学第二定律以其最一般的形式得到了证明。这不仅在量子和经典物理学中是正确的,而且在其他过程中也是正确的,在这些过程中信息是保守的和非加性的。

英文摘要:

We show that the conservation and the non-additivity of the information, together with the additivity of the entropy make the entropy increase in an isolated system. The collapse of the entangled quantum state offers an example of the information non-additivity. Nevertheless, the later is also true in other fields, in which the interaction information is important. Examples are classical statistical mechanics, social statistics and financial processes. The second law of thermodynamics is thus proven in its most general form. It is exactly true, not only in quantum and classical physics but also in other processes, in which the information is conservative and non-additive.

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。

↑