title: Formal solution of a class of reaction-diffusion models: reduction to a single-particle problem.
abstract: We consider the trapping reaction A+B-->B in space dimension d<or=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 and coalescence reactions, B+B-->0 or B, in d=2.
authors.affiliation: Department of Physics and Astronomy, University of Manchester, United Kingdom.
authors.forename: Alan J
authors.initials: AJ
authors.lastname: Bray
authors.forename: Satya N
authors.initials: SN
authors.lastname: Majumdar
authors.forename: Richard A
authors.initials: RA
authors.lastname: Blythe