标题:
热力学函数图式运算法Graphic Algorithm of the Thermodynamic Functions
作者:
陈俊祥
关键字:
特性函数, 全微分, 偏导数 Characteristic Function; Total Differential; Partial Derivative
期刊名称:
《Applied Physics》, Vol.2 No.3, 2012-07-18
摘要:
本文提出了一种热力学函数图式运算方法，这种方法把函数和变量的关系按照三种运算规则排列成图形：1) 相邻两函数之差等于连接这两个函数的共轭变量之积；2) 一个函数的微分等于它的两个特征变量的微分乘其共轭系数之和；3) 函数图内圈上每三个变量组成的偏导数等于按反转规则运行的另外三个变量组成的偏导数。运算规则安排巧妙，操作方便，容易掌握。可供教学和科研工作者使用。
A graphic algorithm for the derivation of the characteristic thermodynamic functions has been presented. The relation between the functions and variables are arranged in graphics according to the following three rules. 1) The dif- ference of two neighboring functions is equal to the product of the two conjugate variables which link the two functions; 2) The differential of a function is equal to its characteristic variable differential multiplied by its conjugate coefficient; 3) The partial derivative formed by three variables arranged sequentially along the inner circle is equal to its counterpart formed by another three variables by using reverse arrangement rule. This algorithm is intelligible, operation convenient and easy to grasp, which proves to be beneficial for the teaching and studying.