Formal Solution of a Class of Reaction-Diffusion Models: Reduction to a Single-Particle Problem
arXiv:cond-mat/0212226 · doi:10.1103/PhysRevE.67.060102
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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