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On the Occurrence of Gibbs Paradox
Journal of Computational and Theoretical Transport ( IF 0.7 ) Pub Date : 2019-06-18 , DOI: 10.1080/23324309.2019.1606832
Davide Giusti 1 , Vincenzo G. Molinari 2
Affiliation  

This work focuses on the conceptual problem of the intermixing of two samples of the same ideal gas under identical conditions (p,V,T) giving rise to the riddle known as Gibbs paradox. Starting from the very general entropy definition of the kinetic theory, for clearly focusing the question, we found that a careful analysis both from the points of view of classical kinetic theory and thermodynamics (considering also the proper constraints) drives once more to the conclusion that they are in mutual agreement and that, actually, the paradox does not subsist. Considering also the approach of Statistical Mechanics, it is easy to conclude that it also is formally coherent with the more straightforward solution provided by kinetic theory.



中文翻译:

吉布斯悖论的发生

这项工作的重点是在相同条件下(p,V,T)将相同理想气体的两个样品混合在一起的概念问题,从而产生了被称为吉布斯悖论的谜语。从动力学理论非常笼统的熵定义出发,为了清楚地关注问题,我们发现从经典动力学理论和热力学(还考虑适当的约束)的角度进行仔细的分析,再一次得出以下结论:他们是相互同意的,实际上,这种悖论不存在。同样考虑统计力学的方法,很容易得出结论,它也与动力学理论提供的更直接的解决方案在形式上是一致的。

更新日期:2019-06-18
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