Ben-Naim Arieh
Department of Physical Chemistry, The Hebrew University of Jerusalem, Jerusalem 91904, Israel.
Entropy (Basel). 2020 Apr 10;22(4):430. doi: 10.3390/e22040430.
The idea that entropy is associated with the "arrow of time" has its roots in Clausius's statement on the Second Law: "." However, the explicit association of the entropy with time's arrow arises from Eddington. In this article, we start with a brief review of the idea that the "increase in entropy" is somehow associated with the direction in which time increases. Then, we examine three different, but equivalent definitions of entropy. We find that none of these definitions indicate any hint of a relationship between entropy and time. We can, therefore, conclude that entropy is a timeless quantity. We also discuss the reasons as to why some scientists went astray in associating entropy with time's arrow. Finally, we shall discuss Boltzmann's H-Theorem, which is viewed by many as a proof of the Second Law of Thermodynamics.
熵与“时间之箭”相关联这一观点源于克劳修斯对第二定律的表述：“……”。然而，熵与时间之箭的明确关联源自爱丁顿。在本文中，我们首先简要回顾一下“熵增加”在某种程度上与时间增加方向相关联这一观点。然后，我们考察熵的三种不同但等效的定义。我们发现这些定义中没有任何一个表明熵与时间之间存在关系的迹象。因此，我们可以得出结论，熵是一个与时间无关的量。我们还将讨论一些科学家在将熵与时间之箭联系起来时误入歧途的原因。最后，我们将讨论玻尔兹曼的H定理，许多人将其视为热力学第二定律的一个证明。
