Concentration profiles and reaction fronts in [Formula Presented] type processes: Effect of background ions

T. Unger, Z. Rácz

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Abstract

The diffusion and reaction of initially separated ions [Formula Presented] and [Formula Presented] in the presence of counterions [Formula Presented] and [Formula Presented] are studied. The dynamics is described in terms of reaction-diffusion equations obeying local electroneutrality, and the time evolution of ion concentrations is determined. We find that, in the absence of reactions, unequal mobility of ions generates nontrivial features in the macroscopically observable concentration profiles. Switching on the reaction [Formula Presented] leads to the formation of a localized, diffusive reaction front, and one finds that the properties of the front (e.g., the effective diffusion constant) are affected by the background ions. The consequences of this effect on the formation of Liesegang patterns are discussed.

Original languageEnglish
Pages (from-to)3583-3589
Number of pages7
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume61
Issue number4
DOIs
Publication statusPublished - Jan 1 2000

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

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