Segregation in annihilation reactions without diffusion: Analysis of correlations
- 14 August 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 63 (7), 805-808
- https://doi.org/10.1103/physrevlett.63.805
Abstract
We study binary one-dimensional exchange-mediated A+B→0 reactions in the absence of diffusion. Using the Kirkwood superposition approximation to decouple the infinite hierarchy of many-particle densities a closed set of integrodifferential equations is derived. A comparison to simulation calculations shows that the approximation reproduces the correct long-time asymptotic decay of reactant concentration as well as the correct spatial correlations of the segregation pattern.Keywords
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