硅酸盐固溶体矿物中组分的韵律型空间分布及形成过程中的时-空自组织

THE SPATIAL DISTRIBUTION AND SELF-ORGANIZATION OF THE COMPONENTS IN THE SILICATE-SOLID-SOLUTION MINERALS

本文根据熔体聚合模型和正规溶液模型,建立了非平衡条件下,在二组分硅酸盐熔体固结过程中的非平衡非理想界面反应的非线性动力学模型:对上式进行数值模拟表明,当W/RT<-2时,有三重态,并通过建立界面状态(组成)的质量守恒方程,合理地说明了硅酸盐固溶体矿物韵律结构形成的可能机理之一,寻找界面反应三重态是研究固溶体矿物韵律结构的一条相当普遍的途径。

The distribution of mineral components in some igneous rocks and migmatites may sometimes exhibit ordered phenomena. Based on the non-equilibrium and non-linear features in the processes of crystal growth and polymerization and regular solution models, an interface reaction model has been established i.e., where f,x^3, W, R and T represent respectively the mole fraction of a component in solid and solution on the interface, the total exchange energy, the gas constant and temperature; β=k_B/k_A, where k_A, k_B represent the rate con- stants of A and B components. The results of digital simulation have demo nstrated that the above equation has three solutions (states) if W/RT<-2. This model and the mass-balance equation of interface components rationally explain the ordered phenomena in silicate-solid-solution minerals. Thus, such ordered phenomena are considered to be related to self-organization (dissipative structure).