Diffusion-Limited Coalescence and Annihilation in Random Media
Statistical Mechanics
2009-10-31 v1
Abstract
We study the kinetics of diffusion-limited coalescence, A+A->A, and annihilation, A+A->0, in random media consisting of disconnected domains of reaction. Examples include excitons fusion and annihilation in porous matrices and along polymer chains. We begin with an exact analysis of A+A->A in a finite segment. This result is applied to coalescence in a random distribution of segment lengths, and the implications for coalescence and annihilation in percolation clusters and other confined geometries are then derived by means of scaling techniques.
Cite
@article{arxiv.cond-mat/9911041,
title = {Diffusion-Limited Coalescence and Annihilation in Random Media},
author = {Catalin Mandache and Daniel ben-Avraham},
journal= {arXiv preprint arXiv:cond-mat/9911041},
year = {2009}
}
Comments
RevTeX, submitted to J. Chem. Phys