Open AccessTHE SPACE-TIME CORRELATION OF THE FLUCTUATION IN A CHEMICAL REACTION SYSTEM (II)——THE CRITICAL BEHAVIOR OF NON-LINEAR SYSTEMS
Author(s) -
Huo Yu-Ping,
Zhongjun Cheng
Publication year - 1982
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.31.359
Subject(s) - divergence (linguistics) , statistical physics , renormalization , bifurcation , space (punctuation) , bifurcation theory , series (stratigraphy) , physics , stability (learning theory) , homogeneous , state space , nonlinear system , mathematics , quantum mechanics , computer science , operating system , paleontology , philosophy , linguistics , statistics , machine learning , biology
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.