AI 中文总结
本文通过局域自由空间假设与碰撞势能，结合正则系综方法重新推导混合气体熵增公式，无需量子全同粒子概念即可解决吉布斯佯谬，填补了混合气体熵增与气体性质无关的缺陷。
AI 中文摘要
本文认为无需使用量子力学中的全同粒子概念即可解决吉布斯佯谬。气体不同区域的分子可被区分，因此无需引入N!因子。对于每个分子，其自由运动空间的体积在每一时刻都是局域的。此外，碰撞是气体分子间相互作用的主要方式，也是达到平衡的基本驱动力，碰撞过程中的势能不能被忽略。基于局域自由空间假设和碰撞势能，本文使用正则系综方法重新推导了混合气体的熵增公式，该公式包含分子质量、有效半径、碰撞特征时间等随气体分子类型变化的参数，解决了混合气体熵增与气体性质无关的问题，即本文真正解决了吉布斯佯谬，而非提供新的概念性解释。
英文摘要
This paper argues that the Gibbs paradox can be resolved without using the concept of identical particles in quantum mechanics. The molecules in different regions of the gas can be distinguished, so there is no need to introduce the N! factor. For each molecule, the volume of its free movement space is local at every instant. Moreover, collisions are the primary way of interaction between gas molecules and the fundamental driving force for reaching equilibrium. The potential energy during collisions cannot be ignored. Based on the local free space assumption and collision potential energy, this paper uses the canonical ensemble method to rederive the entropy increment formula for gas mixing. It includes parameters such as molecular mass, effective radius, and collision characteristic time, which vary with the type of gas molecules. This solves the problem that the entropy increment of gas mixing is independent of gas properties, that is, it truly resolves the Gibbs paradox instead of providing a new conceptual explanation.
