热力学几何
The geometry of thermodynamics
摘要：
我们提出了一个审查的主要方面geometrothermodynamics，一种方法，使我们能够将一个特定的黎曼结构的任何经典热力学系统。在平衡态空间中，我们考虑一个由热力学系统基本方程给出的Legendre不变度规，并分析了它在vanderWaals气体和黑洞中的几何性质.我们的结论是，这个特殊度规的几何再现了范德华气体和Reissner-Nordström黑洞的热力学行为，但它不足以对克尔黑洞进行热力学描述。
英文摘要：
We present a review of the main aspects of geometrothermodynamics, an approach which allows us to associate a specific Riemannian structure to any classical thermodynamic system. In the space of equilibrium states, we consider a Legendre invariant metric, which is given in terms of the fundamental equation of the corresponding thermodynamic system, and analyze its geometric properties in the case of the van der Waals gas, and black holes. We conclude that the geometry of this particular metric reproduces the thermodynamic behavior of the van der Waals gas, and the Reissner-Nordström black hole, but it is not adequate for the thermodynamic description of Kerr black holes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
