Reaction–diffusion fronts with inhomogeneous initial conditions

Properties of reaction zones resulting from type reaction-diffusion processes are investigated by analytical and numerical methods. The reagents A and B are separated initially and, in addition, there is an initial macroscopic inhomogeneity in the distribution of the B species. For simple two-dimens...

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Bibliographic Details
Published in:Journal of physics. Condensed matter 2007-02, Vol.19 (6), p.065103-065103 (9)
Main Authors: Bena, I, Droz, M, Martens, K, Rácz, Z
Format: Article
Language:English
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Summary:Properties of reaction zones resulting from type reaction-diffusion processes are investigated by analytical and numerical methods. The reagents A and B are separated initially and, in addition, there is an initial macroscopic inhomogeneity in the distribution of the B species. For simple two-dimensional geometries, exact analytical results are presented for the time evolution of the geometric shape of the front. We also show using cellular automata simulations that the fluctuations can be neglected both in the shape and in the width of the front.
ISSN:0953-8984
1361-648X
DOI:10.1088/0953-8984/19/6/065103