Reaction-diffusion fronts with inhomogeneous initial conditions

Details Reaction-diffusion fronts with inhomogeneous initial conditions Reaction-diffusion fronts with inhomogeneous initial conditions

2006-07-11

arxiv.org/abs/cond-mat/0607272v1

Journal of Physics C 19, 065103 (2007).

Physics

Condensed Matter

Other Condensed Matter

11 pages, 3 figures, submitted to J. Phys. C

Scientific paper

10.1088/0953-8984/19/6/065103

Properties of reaction zones resulting from A+B -> C 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.

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