In this paper, the interaction parameters in the subregular solution model, λ1 and λ2, are regarded as a linear function of temperature, T. Therefore, the molar excess Gibbs energy of A-B binary system may be reexpr...In this paper, the interaction parameters in the subregular solution model, λ1 and λ2, are regarded as a linear function of temperature, T. Therefore, the molar excess Gibbs energy of A-B binary system may be reexpressed as follows:Gm^E=xAxB[(λ11+λ12T)+(λ21+λ22T)xB]The calculation of the model parameters, λ11, λ12, λ21and λ22, was carried out numerically from the phase diagrams for 11 alkali metal-alkali halide or alkali earth metal-halide systems. In addition, artificial neural network trained by known data has been used to predict the values of these model parameters. The predicted results are in good agreement with the .calculated ones. The applicability of the subregular solution model to the alkali metal-alkali halide or alkali earth metal-halide systems were tested by comparing the available experimental composition along the boundary of miscibility gap with the calculated ones which were obtained by using genetic algorithm. The good agreement between the calculated and experimental results across the entire liquidus is valid evidence in support of the model.展开更多
In the framework of complete metric spaces, this paper provides several suffcient conditions for the well-posedness with respect to an admissible function, which improves some known results on error bounds. As applica...In the framework of complete metric spaces, this paper provides several suffcient conditions for the well-posedness with respect to an admissible function, which improves some known results on error bounds. As applications, we consider the generalized metric subregularity of a closed multifunction between two complete metric spaces with respect to an admissible function φ. Even in the special case when φ(t) = t, our results improve(or supplement) some results on error bounds in the literature.展开更多
文摘In this paper, the interaction parameters in the subregular solution model, λ1 and λ2, are regarded as a linear function of temperature, T. Therefore, the molar excess Gibbs energy of A-B binary system may be reexpressed as follows:Gm^E=xAxB[(λ11+λ12T)+(λ21+λ22T)xB]The calculation of the model parameters, λ11, λ12, λ21and λ22, was carried out numerically from the phase diagrams for 11 alkali metal-alkali halide or alkali earth metal-halide systems. In addition, artificial neural network trained by known data has been used to predict the values of these model parameters. The predicted results are in good agreement with the .calculated ones. The applicability of the subregular solution model to the alkali metal-alkali halide or alkali earth metal-halide systems were tested by comparing the available experimental composition along the boundary of miscibility gap with the calculated ones which were obtained by using genetic algorithm. The good agreement between the calculated and experimental results across the entire liquidus is valid evidence in support of the model.
基金supported by National Natural Science Foundation of China (Grant No. 11371312)
文摘In the framework of complete metric spaces, this paper provides several suffcient conditions for the well-posedness with respect to an admissible function, which improves some known results on error bounds. As applications, we consider the generalized metric subregularity of a closed multifunction between two complete metric spaces with respect to an admissible function φ. Even in the special case when φ(t) = t, our results improve(or supplement) some results on error bounds in the literature.
