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

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

1998-03-23

arxiv.org/abs/cond-mat/9803281v1

Phys. Rev. Lett. 81, 4756 (1998).

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures (postscript). Typeset with Revtex

Scientific paper

10.1103/PhysRevLett.81.4756

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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