Formal Solution of a Class of Reaction-Diffusion Models: Reduction to a Single-Particle Problem
Statistical Mechanics
2009-11-07 v1
Abstract
We consider the trapping reaction A + B -> B in space dimension d<=2. By formally eliminating the B particles from the problem we derive an effective dynamics for the A particles from which the survival probability of a given A particle and the statistics of its spatial fluctuations can be calculated in a rather general way. The method can be extended to the study of annihilation/coalescence reactions, B + B -> 0 or B, in d=2.
Keywords
Cite
@article{arxiv.cond-mat/0212226,
title = {Formal Solution of a Class of Reaction-Diffusion Models: Reduction to a Single-Particle Problem},
author = {Alan J. Bray and Satya N. Majumdar and Richard A. Blythe},
journal= {arXiv preprint arXiv:cond-mat/0212226},
year = {2009}
}
Comments
RevTeX, 4 pages