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Formal Solution of a Class of Reaction-Diffusion Models: Reduction to a Single-Particle Problem

Alan J. Bray·Satya N. Majumdar·Richard A. Blythe
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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.

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Alan J. Bray, Satya N. Majumdar, Richard A. Blythe. 2002-12-10. Formal Solution of a Class of Reaction-Diffusion Models: Reduction to a Single-Particle Problem. https://doi.org/10.1103/physreve.67.060102

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