Formal solution of a class of reaction-diffusion models: Reduction to a single-particle problem

A J Bray, S N Majumdar, Richard Blythe

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the trapping reaction A+B-->B in space dimension dless than or equal to2. 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.

Original languageEnglish
Article number060102
Pages (from-to)-
Number of pages4
JournalPhysical Review E - Statistical, Nonlinear and Soft Matter Physics
Volume67
Issue number6
DOIs
Publication statusPublished - Jun 2003

Keywords

  • ANNIHILATION

Cite this