The uniqueness of the integration factor associated with the exchanged heat in thermodynamics  

作　　者：Yu-Han Ma Hui Dong Hai-Tao Quan Chang-Pu Sun 

机构地区：[1]Beijing Computational Science Research Center,Beijing 100193,China [2]Graduate School of China Academy of Engineering Physics,No.10 Xibeiwang East Road,Haidian District,Beijing 100193,China [3]School of Physics,Peking University,Beijing 100871,China

出　　处：《Fundamental Research》2021年第1期6-9,共4页自然科学基础研究（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China(NSFC)(Grants No.11534002,No.12088101,No.U1530402,No.U1930403,No.11775001,No.11534002,and No.11825001);the National Basic Research Program of China(Grants No.2016YFA0301201).

摘　　要：State functions play important roles in thermodynamics.Different from the process function,such as the exchanged heatδQ and the applied workδW,the change of the state function can be expressed as an exact differential.We prove here that,for a generic thermodynamic system,only the inverse of the temperature,namely 1/T,can serve as the integration factor for the exchanged heatδQ.The uniqueness of the integration factor invalidates any attempt to define other state functions associated with the exchanged heat,and in turn,reveals the incorrectness of defining the entransy E_(vh)=CVT^(2)/2 as a state function by treating T as an integration factor.We further show the errors in the derivation of entransy by treating the heat capacity C_(V)as a temperature-independent constant.

关 键 词：Integration factor Process function Exchanged heat Thermodynamic entropy Uniqueness theorem 

分 类 号：O17[理学—数学]