Journal article

### Reaction-diffusion front for A+B--&gt;

Abstract:

We study theoretically and numerically the steady state diffusion controlled reaction $A+B\rightarrow\emptyset$, where currents $J$ of $A$ and $B$ particles are applied at opposite boundaries. For a reaction rate $\lambda$, and equal diffusion constants $D$, we find that when $\lambda J^{-1/2} D^{-1/2}\ll 1$ the reaction front is well described by mean field theory. However, for $\lambda J^{-1/2} D^{-1/2}\gg 1$, the front acquires a Gaussian profile - a result of noise induced wandering of th...

### Access Document

Publisher copy:
10.1103/physreve.53.r2017

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
Journal:
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
Volume:
53
Issue:
3
Pages:
R2017-R2020
Publication date:
1996-03-01
DOI:
EISSN:
1095-3787
ISSN:
1063-651X
Source identifiers:
19540
Language:
English
Keywords:
Pubs id:
pubs:19540
UUID:
uuid:2bcf134b-3f13-4902-80d1-d8f79669d78e
Local pid:
pubs:19540
Deposit date:
2012-12-20