几何热力学中的均匀性与热力学恒等式
Homogeneity and thermodynamic identities in geometrothermodynamics
摘要：
我们提出了一个分类的热力学系统的基本方程的同质性。一般系统对应于齐次函数，非一般系统由广义齐次函数给出。这影响了吉布斯-迪昂关系和欧拉恒等式的显式形式。我们表明，这些广义关系可以实现在黑洞geometrothermodynamics的形式主义，以完全固定的任意性存在于勒让德不变度量。
英文摘要：
We propose a classification of thermodynamic systems in terms of the homogeneity properties of their fundamental equations. Ordinary systems correspond to homogeneous functions and non-ordinary systems are given by generalized homogeneous functions. This affects the explicit form of the Gibbs-Duhem relation and Euler's identity. We show that these generalized relations can be implemented in the formalism of black hole geometrothermodynamics in order to completely fix the arbitrariness present in Legendre invariant metrics.
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