Complete Exact Solution of Diffusion-Limited Coalescence, A + A -> A
Statistical Mechanics
2009-10-31 v1
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.
Cite
@article{arxiv.cond-mat/9803281,
title = {Complete Exact Solution of Diffusion-Limited Coalescence, A + A -> A},
author = {Daniel ben-Avraham},
journal= {arXiv preprint arXiv:cond-mat/9803281},
year = {2009}
}
Comments
4 pages, 2 figures (postscript). Typeset with Revtex