Reaction-diffusion fronts with inhomogeneous initial conditions

I. Bena, M. Droz, K. Martens, Z. Rácz

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number065103
JournalJournal of Physics Condensed Matter
Volume19
Issue number6
DOIs
Publication statusPublished - Feb 14 2007

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Cellular automata
Numerical methods
Geometry
cellular automata
reagents
inhomogeneity
geometry
simulation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Reaction-diffusion fronts with inhomogeneous initial conditions. / Bena, I.; Droz, M.; Martens, K.; Rácz, Z.

In: Journal of Physics Condensed Matter, Vol. 19, No. 6, 065103, 14.02.2007.

Research output: Contribution to journalArticle

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