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Phys. Rev. E 50, R3287–R3290 (1994)

Scaling of reaction zones in the A+B→0 diffusion-limited reaction

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Benjamin P. Lee
Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX13NP, United Kingdom

John Cardy
All Souls College and Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX13NP, United Kingdom

We study reaction zones in three different versions of the A+B→0 system. For a steady state formed by opposing currents of A and B particles we derive scaling behavior via renormalization group analysis. By use of a previously developed analogy, these results are extended to the time-dependent case of an initially segregated system. We also consider an initially mixed system, which forms reaction zones for dimension d<4. In this case an extension of the steady-state analogy gives scaling results characterized by new exponents.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.50.R3287
DOI:
10.1103/PhysRevE.50.R3287
PACS:
05.40.+j, 02.50.-r, 82.20.-w