耗散系统中序形成的动力学模型

Dynamical Model of Formation of Order in Dissipative System

在经典动力学的框架内,序形成现象可以视为系统时间演化过程中约束的组织.从这一观点出发,提出了耗散系统中序形成的动力学模型.首先,对于既没有拉格朗日量也没有哈密顿量的耗散系统,推导了序形成的一般公式,其次,为了说明,借几个具有有限自由度的简单模型来阐述.最后,作为上述一般形式特殊情况一具有哈密顿量的动力学系统被讨论.

A dynamical model of formation of order in dissipative systems is proposed within a framework of classical dynamics,from the point of view that phenomena of formation of order may be regarded as organization of constraints in the course of time evolution of the systems. First a general formulation for the formation of order is developed for dissipa- tive systems which have neither Lagrangians nor Hamiltonians.For illustration,a a few simple models with finite degrees of freedom are prensented. Finally as a special case of the above general formalism dynamical systems possessing Hamiltonian are considered.