基于熵的离子导体电导率公式推导

The derivation of conductivity of ionic conduction based on entropy

电导率是表示导体导电能力强弱的度量,离子导体的电导率可以通过平均漂移速度求得.文中通过对离子导体的分析,给出一种基于熵的新的推导方法.首先分析系统熵和环境熵的竞争关系,其次运用熵最大原理求出最概然电流,进而导出电导率公式.最后将基于熵的推导方法与漂移速度方法加以区别和对比,并推广到一般导体电导率公式的推导.

Conductivity is a measurement of the strength of the conductive ability.It is known that the conductivity of the ionic conduction can be obtained by calculating the average drift velocity of the ion.We present here a new derivation by using entropy.We identify a competition between the system entropy and the environment entropy.The entropy competition determines the most probability electric current from whose form the same conductivity is extracted.Finally,we compare the methods based on entropy and drift velocity and generalize this method to general conductor.This method may be extend to study other conductors.