雅克比行列式法推导平衡稳定性条件的讨论研究

摘要

It is the emphasis and the difficuhy in the study of thermodynamics to give and prove the equilibrium and stability conditions. Compared with the traditional way of proving, the Jacobian determinant method is dearer, simpler and easier to be understood. But it is difficult to show the system description of this method. Examples are given in this paper to describe this method. And its suitable conditions are also given.%平衡稳定条件的推导是热力学学习中重点也是难点,雅克比行列式法推导平衡稳定性条件非常好用,易于掌握。但是目前对这种方法的明确完整的描述很少,使得在使用过程中非常容易出现根本上的错误。以实例的形式给出其应用方法,并以错误范例的形式指出学习应用上容易出现的错误,对这种方法进行了完备的阐述。