We develop a systematic analytic approach to the problem of branching and annihilating random walks, equivalent to the diffusion-limited reaction processes 2A->0 and A->(m+1)A, where m>=1. Starting from the master equation, a field-theoretic representation of the problem is derived, and fluctuation effects are taken into account via diagrammatic and renormalization group methods. For d>2, the mean-field rate equation, which predicts an active phase as soon as the branching process...Expand abstract
- Publication status:
- Publisher copy:
- Copyright date:
39 pages, LaTex, 10 figures included as eps-files; submitted to J.
Stat. Phys; slightly revised version
Field Theory of Branching and Annihilating Random Walks
If you are the owner of this record, you can report an update to it here: Report update to this record