Diffusion-Limited Coalescence and Annihilation in Random Media

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.

RevTeX, submitted to J. Chem. Phys

References in corpus (2)

• Diffusion-limited annihilation in inhomogeneous environments
• Annihilating random walks in one-dimensional disordered media

Cited by in corpus (6)

• Reaction Front in an A+B -> C Reaction-Subdiffusion Process
• Subdiffusion-limited reactions
• Critical behavior of an even offspringed branching and annihilating random walk cellular automaton with spatial disorder
• Encounter-controlled coalescence and annihilation on a one-dimensional growing domain
• Solution of a class of one-dimensional reaction-diffusion models in disordered media
• Phase transitions and crossovers in reaction-diffusion models with catalyst deactivation