化学反应体系中涨落的时间空间关联(Ⅱ)——非线性系统的临界行为

根据文献4]所发展的理论,讨论了涨落波对非线性化学反应体系临界行为的影响,本文进一步发展了一般的分支理论,使之能应用于涨落波,并能利用涨落波展开来消除临界点上某些系数发散的问题,作为具体对象,仔细讨论了三分子反应模型均匀定态的稳定性(包括考虑压力效应),并在一种简单情况下讨论了密度及其涨落出现空间结构的可能性。还指出,在考虑涨落波后,有可能出现这种情况,即虽然平均密度出现结构,但由于涨落太大,实际上观测不到,仍是无序的。 关键词：

THE SPACE-TIME CORRELATION OF THE FLUCTUATION IN A CHEMICAL REACTION SYSTEM (II)——THE CRITICAL BEHAVIOR OF NON-LINEAR SYSTEMS

Based on the theory developed in the first paper of this series, we have discussed the influences of the fluctuation waves on the critical behavior of a non-linear chemical reaction system. For this purpose, the usual bifurcation theory has been further developed and some divergence problems has been eliminated by renormalization.Taking the trimolecular model as the concrete object, the stability of the homogeneous steady state has been analysed in detail, and, in addition, we also discussed the possibility that the space structure of the density and fluctuation for a simpler case could appear.