用Mathematica软件及Jacobian方法证明一、二阶热力学偏导数关系式

The proof of the relations among thermodynamic partial derivatives by jacobian transformation and mathematica

用Jacobian方法证明热力学函数的一、二阶偏导数关系式,其牵涉公式多而复杂,实际应用起来比较困难。利用Mathematica软件的逻辑编程及符号运算功能,再结合Jacobian方法,就使该问题证明变得概念清楚,简便易行。本文描述了其具体实施的方法。

The proof of the relations among thermodynamic partial derivatives by Jacobian transformation is difficult to use because the formulae involved are complicated. By using the logic programming and symbolic operation function of Mathematica software the Jacobian transformation becomes easy and the concept becomes clear. This paper describes the practical implementation of the method.