关于稳定单变度曲线自动判别的一种简便的普适性方法

A Simple easy and Universal Method for Auto discrimination of the Stable Equilibrium Univariant Curves

无变度点周围各单变度曲线稳定性的自动判别，是多体系稳定平衡相图计算机成图理论中十分关键而棘手的问题。它既令化学家感兴趣，更为地质地球化学家、冶金学家、材料学家所关注。在这方面，已有不少学者做过探讨，其基本依据是“等温等压下达到平衡时体系的Ｇｉｂｂｓ自...

Based on the studies of predecessors and our previous work, a simple easy and universal method, the sign Function Matrix method (SFM), has been developed for autodiscrimination of the stable univariant curves about an invariant point. The method is valid for variant thermodynamic phase diagrams without any restriction on dimensions. The following expression serves as its thermodynamic basis:dΔ rG m(i)=[Δ rG m(i)/Xq] X C dXq (dX C=0;c=1,2,…;c≠q)whrere Xq is any intensive thermodynamic variable. By using the products of sign function values of stoichiometric numbers of every phase or species in each reaction multiplied by the sign function value of the relative [Δ rG m(i)/Xq] X C to construct a matrix LL the discrimination of the stable univariant curves can be easily made according to the signs of the elements in LL .