地质作用的自组织临界过程动力学——地质系统在混沌边缘分形生长(下)

笔者对复杂性科学中的自组织临界性、瞬态混沌、混沌边缘和弱混沌四大理论和研究领域就其发展现状和最近动态作系统和深入的剖析后得出结论 ,认为以上四者是对自然界中开放、远离平衡、相互作用的巨大耗散动力学系统的时空演化这个统一事物的本质的面面观。笔者进一步将四者的相互关系归纳成一个重要的命题 :自然界中开放、远离平衡、相互作用的巨大耗散动力学系统的时空演化服从“自组织临界过程动力学” ,并且系统“在混沌边缘分形生长”。地质系统是自然界中的一种既十分重要 ,又异常复杂的开放、远离平衡、相互作用的巨大耗散动力学系统。它具有自组织临界性的内禀基本属性。它的时空行为服从地质作用的自组织临界过程动力学。地质系统位于有序和混沌之间的过渡时空域 ,即混沌边缘 ,其中系统呈规则与混沌运动并存和混合的弱混沌动力学状态 ,并且地质系统在混沌边缘分形生长。将上述命题演绎和整合成一种广泛适用于地质系统的地球科学的复杂性理论 ,名之为 :“地质作用的自组织临界过程动力学———地质系统在混沌边缘分形生长” ,并将其内容归纳成 6部分 :(1)自组织临界性、瞬态混沌、混沌边缘和弱混沌 ,(2 )多组分的耦合与相互作用及其相干与协同 ,(3)演化过程的分形动力学 ,(4 )作用的时空结构 ,(

DYNAMICS OF SELF-ORGANIZED CRITICAL PROCESSES OF GEOLOGICAL PROCESSES—FRACTAL GROWTH OF GEOSYSTEMS AT THE EDGE OF CHAOS

The author analyzed systematically the present status of the four research areas of self\|organized criticality, transient chaos, the edge of chaos and weak chaos in the science of complexity and concluded that, the four research areas are actually different approaches for probing into the essence of the same problem—the spatio\|temporal evolution of open, far\|from\|equilibrium, interacting, large, dissipative dynamical systems in nature. The author further summarized the interrelationships among the four areas into an important proposition: the spatio\|temporal evolution of open, far\|from\|equilibrium, interacting, large, dissipative dynamical systems in nature complies to the \!dynamics of self\|organized critical processes\", and \!the systems grow fractally at the edge of chaos".Geosystems are both very important and complex open, far\|from\|equilibrium, interacting, large, dissipative dynamical systems in nature. they possess the innate, essential attribute of self\|organized criticality. Their spatio\|temporal behaviors obey the dynamics of self\|organized critical processes of geological processes. Geosystems are situated in the transitional spatio\|temporal domains between order and chaos, i.e., at the edge of chaos. They are in the weakly chaotic dynamic states, in which regular and chaotic motions coexist and mix up. And geosystems grow fractally at the edge of chaos.The author deduced and integrated these aspects into a theory of complexity in geosciences named \!Dynamics of self\|organized critical processes of geological processes—fractal growth of geosystems at the edge of chaos\", which is widely applicable to variable geosystems. The contents of this theory are divided into six parts, they are: (1) Self\|organized criticality, transient chaos, the edge of chaos and weak chaos; (2) The coupling and interactions as well as the coherence and cooperation of multicomponents;(3) The fractal dynamics of evolutionary processes;(4) The spatio\|temporal structures of processes;(5) The dynamics of fractal growth;(6) The theory of finite\|size scaling.