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

Benjamin P. Lee and John Cardy
Phys. Rev. E 50, R3287(R) – Published 1 November 1994
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Abstract

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.

    DOI:https://doi.org/10.1103/PhysRevE.50.R3287

    ©1994 American Physical Society

    Authors & Affiliations

    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

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    Issue

    Vol. 50, Iss. 5 — November 1994

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