硅酸盐固溶体矿物形成的结晶动力学过程的复杂性及混沌吸引子

COMPLEXITY AND CHAOS ATTRACTOR OF CRYSTALLIZING DYNAMIC PROCESSES FOR SILICATE -SOLID -SOLUTION MINERALS

本文讨论了固溶体矿物形成过程的结晶动力学的模型化描述方法,在此基础上,通过对可能影响矿物结晶动力学过程的内、外复杂因素的分析,较系统地阐述了硅酸盐固溶体矿物中组分的非周期振荡型空间分布的若干可能起因以及结晶过程中可能出现混沌吸引子的情形,并以玄武岩中普通辉石斑晶中心细环带中Fe的空间分布为例,讨论了如何运用从时间序列数据重建复杂系统动力学的方法来重建结晶过程的动态特征,求得该例结晶过程的混沌吸引子的维数为3.4,而描述该动态特征的最小变量数为4。

By discussing dynamic processes of mineral crystallizing, the paper expounds systematically some possible causes that lead to the. space distribution of nonperiodic oscillation types of the components in silicate-solid -solution minerals and the cases that chaotic attractors may occur in crystallizing processes. Taking the data of Fe in the thin ring in the core of augite phonecryst in basalt for example, it discusses how to use the method for reconstructing the dynamics of complex systems from time series data to reconstruct the dynamic features of crystallizing processes, and gets the dimensionality of the chaotic attractors in the crystallizing processes of the example to be 3.4 and the least number of the variables for describing the dynamic features to be 4.