The contact geometric structure of the thermodynamic phase space is used to introduce a novel symplectic structure on the tangent bundle of the equilibrium space. Moreover, it turns out that the equilibrium space can be interpreted as a Lagrange submanifold of the corresponding tangent bundle, if the fundamental equation is known explicitly. As a consequence, Hamiltonians can be defined that describe thermodynamic processes.

中文翻译：

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平衡热力学的辛结构

利用热力学相空间的接触几何结构，在平衡空间的切丛上引入了一种新颖的辛结构。此外，如果基本方程是明确已知的，那么平衡空间可以解释为相应切丛的拉格朗日子流形。因此，可以定义描述热力学过程的哈密顿量。