Diffusion-Limited Coalescence and Annihilation in Random Media
Catalin Mandache, Daniel ben-Avraham
TL;DR
This paper investigates the kinetics of diffusion-limited coalescence and annihilation reactions within disordered media, providing exact solutions and scaling analyses relevant to porous materials and polymer systems.
Contribution
It offers an exact analysis of A+A->A in finite segments and applies scaling methods to understand reactions in complex, disordered geometries.
Findings
Exact solution for A+A->A in finite segments
Scaling analysis for reactions in random media
Implications for porous and polymer systems
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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