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

HUO YU-PING | Zendy; Cheng Zhang | Zendy

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

Author(s) -

HUO YU-PING,

Cheng Zhang

Publication year - 1982

Publication title -

acta physica sinica

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.

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