Reaction-diffusion fronts with inhomogeneous initial conditions

Abstract

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.

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

References in corpus (3)

• Front propagation into unstable states
• Derivation of the Matalon-Packter law for Liesegang patterns
• Formation of Liesegang patterns: A spinodal decomposition scenario

Cited by in corpus (5)

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• Diffusion-controlled death of $A$-particle and $B$-particle islands at propagation of the sharp annihilation front $A+B\to 0$
• Encoding information into precipitation structures
• Width of reaction zones in A + B -> C type reaction-diffusion processes: Effects of an electric current
• Diffusion-controlled coalescence, fragmentation and collapse of $d$-dimensional $A$-particle islands in the $B$-particle sea