Asymptotic Behaviour of Density and Correlation in Diffusion-Limited Reactions A+B→0 and A+A→0 : Condensed Matter and Statistical Physics

概要

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Within the framework of Yvon-Born-Green approximation, time evolution equations for binary correlation functions are derived for diffusion-limited reactions A+B↔0 and A+A↔0 in d-dimensional space. The asymptotic time dependence of densities and correlation functions is found for irreversible reactions A+B→0 and A+A→0 with random initial distribution of reactants. As far as the density is concerned, all known results are confirmed and it is shown for A+B→0 that the correlation is qualitatively different for d<2, 2<d<4 and d>4. For d>4 no clusters are formed.For d<2 the clusters have clear compact structure while for 2<d<4 they show similarity structure familiar in critical phenomena.
理論物理学刊行会の論文
1988-06-25