Locking of Turing patterns in the chlorine dioxide-iodine-malonic acid reaction with one-dimensional spatial periodic forcing

Milos Dolnik, T. Bánsági, Sama Ansari, Ivan Valent, Irving R. Epstein

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We use the photosensitive chlorine dioxide-iodine-malonic acid reaction-diffusion system to study wavenumber locking of Turing patterns with spatial periodic forcing. Wavenumber-locked stripe patterns are the typical resonant structures that labyrinthine patterns exhibit in response to one-dimensional forcing by illumination when images of stripes are projected on a working medium. Our experimental results reveal that segmented oblique, hexagonal and rectangular patterns can also be obtained. However, these two-dimensional resonant structures only develop in a relatively narrow range of forcing parameters, where the unforced stripe pattern is in close proximity to the domain of hexagonal patterns. Numerical simulations based on a model that incorporates the forcing by illumination using an additive term reproduce well the experimental observations. These findings confirm that additive one-dimensional forcing can generate a two-dimensional resonant response. However, such a response is considerably less robust than the effect of multiplicative forcing.

Original languageEnglish
Pages (from-to)12578-12583
Number of pages6
JournalPhysical Chemistry Chemical Physics
Volume13
Issue number27
DOIs
Publication statusPublished - Jul 21 2011

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dioxides
Iodine
locking
iodine
chlorine
Lighting
acids
Computer simulation
illumination
chlorine dioxide
malonic acid
proximity
simulation

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry
  • Physics and Astronomy(all)

Cite this

Locking of Turing patterns in the chlorine dioxide-iodine-malonic acid reaction with one-dimensional spatial periodic forcing. / Dolnik, Milos; Bánsági, T.; Ansari, Sama; Valent, Ivan; Epstein, Irving R.

In: Physical Chemistry Chemical Physics, Vol. 13, No. 27, 21.07.2011, p. 12578-12583.

Research output: Contribution to journalArticle

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