调和映射在线性非平衡热力学中的应用

Application of Harmonic Mapping in Linear Nonequilibrium Thermodynamics

本文将一类线性非平衡热力学系统归结为调和映射问题.文中将昂塞格系数从常数推广成状态变量的函数,并应用调和映射讨论了系统的定态及其稳定性问题,给出了判定系统定态稳定性的判据.最后讨论了这些结果与原有的最小熵产生定理间的关系.

A kind of linear nonequilibrium thermodynamieal system is reckoned as har-monic mapping.We generalized the Onsager coefficients from constants to func-tions of state variables,and applied harmonic mapping to deal with the steadstate and stability of stead state in system.By means,of harmonic mapping theory,we give out the criterion for judging the stability of stead state and discuss therelation between these results and the minimum entropy production theorem.