Modeling study of migration-driven lateral instability in autocatalytic systems

Zsanett Virányi, Ágota Tóth, Dezso Horváth

Research output: Contribution to journalArticle

4 Citations (Scopus)


The lateral stability of reaction fronts in simple autocatalytic models with the components carrying various charges is investigated when the system is exposed to an inhomogeneous electric field parallel to the direction of propagation. The enhanced migrational flux of the reactant destabilizes the planar front giving rise to a cellular structure because the electric field strength is greater on the reactant side of the reaction front. The onset of instability depends not only on the charge difference between the reactant and the autocatalyst but also on the variation of specific conductance in the course of the reaction, which results in a difference in electric field strength on the opposite sides of the reaction front.

Original languageEnglish
Pages (from-to)229-238
Number of pages10
JournalJournal of Engineering Mathematics
Issue number2
Publication statusPublished - Oct 1 2007


  • Autocatalytic reaction front
  • Lateral instability
  • Migration-driven instability

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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