Complete Exact Solution of Diffusion-Limited Coalescence,A<mml:mspace/>+<mml:mspace/>A<mml:mspace/>→<mml:mspace/>A

1998/03/23 by Daniel ben‐Avraham, Daniel ben-Avraham · 6 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Diffusion and Search Dynamics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.81.4756

published as Phys. Rev. Lett. 81, 4756 (1998). · 4 pages, 2 figures (postscript). Typeset with Revtex

arxiv created 1998/03/23 · openalex publication_date 1998/11/23 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 provided only 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\ensuremath→A.

Citations

• Stochastic Processes in Physics and Chemistry

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