# Diffusion-Limited Coalescence and Annihilation in Random Media

Source: [Diffusion-Limited Coalescence and Annihilation in Random Media](<https://www.sota2.com/research/paper/68fa24c82c2a3760193a8cad>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T02:59:29.803Z

Authors: Catalin Mandache, Daniel ben-Avraham

Published: 1999-11-03T21:22:47.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9911041>)

[PDF](<https://arxiv.org/pdf/cond-mat/9911041.pdf>)