勒让德变换图及其应用

THE DIAGRAM OF LEGENDRE TRANSFORMATIONS AND IT'S APPLICATIONS

提出一种普遍适用的勒让德变换图,它建立在某函数全微分的基础之上,含有大量的信息。由此简图,依据一定的规则,可方便地写出一些最常用的麦克斯韦关系及其它各种公式。该图由一个十字与四条圆弧组成,它适用于各种均匀系统,并可推广到多元系以及外界同时对系统作多种功的情况。

This paper advances a universally suitable mnemonic diagram of Legendre trans- formations, it bases on the complete differential of some function and contains a great deal of information. A number of most useful Maxwell relations and formulas can be written easily in terms of this simple diagram according to the fixed rules. This diagram consists of a cross with four curves, it is suitable for various homogeneous systems and generalizes to multi-component systems and cases in which some kind of works are produced in the surroundings at the same time.