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Complete Exact Solution of Diffusion-Limited Coalescence, A + A -> A

Daniel ben-Avraham
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Abstract

Some models of diffusion-limited reaction processes in one dimension lend themselves to exact analysis. The known approaches yield exact expressions for a limited number of quantities of interest, such as the particle concentration, or the distribution of distances between nearest particles. However, a full characterization of a particle system is only provided by the infinite hierarchy of multiple-point density correlation functions. We derive an exact description of the full hierarchy of correlation functions for the diffusion-limited irreversible coalescence process A + A -> A.

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Daniel ben-Avraham. 1998-03-23. Complete Exact Solution of Diffusion-Limited Coalescence, A + A -> A. https://doi.org/10.1103/physrevlett.81.4756

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