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Reaction-diffusion front for A+B->empty-set in one dimension

Abstract:

We study theoretically and numerically the steady state diffusion controlled reaction A + B → Ø, where currents J of A and B particles are applied at opposite boundaries. For a reaction rate λ, and equal diffusion constants D, we find that when λJ-1/2D-1/2≪1 the reaction front is well described by mean-field theory. However, for λJ-1/2D-1/2≫1, the front acquires a Gaussian profile - a result of noise induced wandering of the reaction front center. We make a theoretical prediction for this pro...

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
Journal:
PHYSICAL REVIEW E
Volume:
53
Issue:
3
Pages:
R2017-R2020
Publication date:
1996-03-01
ISSN:
1063-651X
Pubs id:
pubs:27458
UUID:
uuid:6deeccf2-9e03-4f48-87fa-66f93070439e
Local pid:
pubs:27458
Source identifiers:
27458
Deposit date:
2012-12-19

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