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cond-mat.stat-mech2002★ 41 cited
Formal Solution of a Class of Reaction-Diffusion Models: Reduction to a Single-Particle Problem
Alan J. Bray, Satya N. Majumdar, Richard A. Blythe
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 f…
cond-mat.stat-mech2002★ 62 cited
Survival probability of a diffusing particle in the presence of Poisson-distributed mobile traps
R. A. Blythe, A. J. Bray
The problem of a diffusing particle moving among diffusing traps is analyzed in general space dimension d. We consider the case where the traps are initially randomly distributed i…
cond-mat.stat-mech2002★ 12 cited
Perturbation theory for the one-dimensional trapping reaction
R. A. Blythe, A. J. Bray
We consider the survival probability of a particle in the presence of a finite number of diffusing traps in one dimension. Since the general solution for this quantity is not known…