论文标题

在统计力学中使用确切的Stirl公式的请求

Plea for the use of the exact Stirling formula in statistical mechanics

论文作者

Lairez, Didier

论文摘要

在统计力学中,通常称为Stirling近似实际上是Stirling公式的近似值。在本文中,可以证明删除的术语实际上是考虑到波动的一种。斯特林的精确公式的使用迫使我们将它们重新引入已经提出的众所周知难题的解决方案,例如扩展性悖论或吉布斯(Gibbs)的悖论,即连接了两卷相同的气体。该修正案显然会导致这些解决方案的一致性和严格性。

In statistical mechanics, the generally called Stirling approximation is actually an approximation of Stirling's formula. In this article, it is shown that the term that is dropped is in fact the one that takes fluctuations into account. The use of the Stirling's exact formula forces us to reintroduce them into the already proposed solutions of well-know puzzles such as the extensivity paradox or the Gibbs' paradox of joining two volumes of identical gas. This amendment clearly results in a gain in consistency and rigor of these solutions.

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