VALIDITY OF EXCESS ENTROPY PRODUCTION CRITERION OF THERMODYNAMIC STABILITY FOR NONEQUILIBR

VALIDITY OF EXCESS ENTROPY PRODUCTION CRITERION OF THERMODYNAMIC STABILITY FOR

NONEQUILIBRIUM STEADY STATES

作者：吴金平;;;;

作者机构：Department of Applied Chemistry;China University of Geosciences;Wuhan 430074;PRC; 来源：中国科学 年：1991 卷：000 期：006

页码：P.708-716 页数：9 中图分类：N 正文语种：CHI

关键词：excess entropy production linear stability Liapunov function. 摘要：The relation between the excess entropy production criterion of thermodynamic stabilityfor nonequilibrium states and kinetic linear stability principle is discussed. It is shown thatthe condition required by the excess entropy production criterion generally is sufficient, butnot necessary to judge the system stability. The condition required by the excess entropyproduction criterion is stronger than that of the linear stability principle. Only when theproduct matrix between the linearized matrix of kinetic equations and matrix of quadraticform of second-order excess entropy is symmetric, is the condition required by the excessentropy production criterion that the steady steate is

asymptotically stable (δ_xP>0) necessaryand sufficient. The counterexample given by Fox to prove that the excess entropy, (δ~2S)ss,is not a Liapunov function is incorrect. Contradictory to his conclusion, the counterexampleis just a positive one that proves that the excess entropy is a Liapunov function. Moreover,the excess entropy production criterion is not limited by symmetric conditions of the linear-ized matrix of kinetic equations. The excess entropy around nonequilibrium steady states,(δ~2S)ss, is a Liapunov function of thermodynamic system.