化学反应的几何描述
Geometric description of chemical reactions
摘要：
我们使用几何热力学的形式主义来描述化学反应的平衡热力学的背景下。任何化学反应在一个封闭的系统中所示的描述由测地线在$2-$维流形，可以解释为平衡空间的反应。我们首先表明，在特定的情况下，只有两个物种的反应对应于两个理想气体或两个范德华气体。然后，我们考虑与任意数量的物种的反应的情况。测地线的初始平衡态由反应的初始条件决定。最后的平衡态，它遵循从反应的热力学分析，示出对应于描述平衡流形的热力学度量的坐标奇异性。
英文摘要：
We use the formalism of Geometrothermodynamics to describe chemical reactions in the context of equilibrium thermodynamics. Any chemical reaction in a closed system is shown to be described by a geodesic in a $2-$dimensional manifold that can be interpreted as the equilibrium space of the reaction. We first show this in the particular cases of a reaction with only two species corresponding to either two ideal gases or two van der Waals gases. We then consider the case of a reaction with an arbitrary number of species. The initial equilibrium state of the geodesic is determined by the initial conditions of the reaction. The final equilibrium state, which follows from a thermodynamic analysis of the reaction, is shown to correspond to a coordinate singularity of the thermodynamic metric which describes the equilibrium manifold.
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