常用数学工具在热力学关系式证明中的应用  

Application of common mathematical tools in the identification of thermodynamic relation

作　　者：李英德[1] 

机构地区：[1]潍坊学院物理与电子科学系,山东潍坊261061

出　　处：《大学物理》2009年第2期24-27,共4页College Physics

摘　　要：对热力学中常用的数学工具如多元函数的导数及其全微分、雅可比行列式、勒让德变换、复合函数求导等进行了简单介绍,并由热力学基本规律出发,在充分分析基本热力学关系式特点的基础上,较系统地归纳出6种解决热力学关系式证明的方法,对每一种方法都给出了适用的要点,并以典型例题进行了说明.The commonly used mathematical tools, such as derivative and total differentiation of function of many variables, Jacobian determinant, Legendre transformation and derivative of complex functions are listed, respectively. Using the mathematical tools, six proving method of thermodynamic relation is summed in terms of the basic law of thermodynamics and fully analysing relation characteristic. The main points and examples for every kind of methods are given.

关 键 词：热力学 勒让德变换 雅可比行列式 

分 类 号：O414[理学—理论物理]