Dynamic Mechanism of Photochemical Induction of Turing Superlattices in the Chlorine Dioxide−Iodine−Malonic Acid Reaction−Diffusion System | Zendy

Igal Berenstein | Zendy; Lingfa Yang | Zendy; Miloš Dolnik | Zendy; Anatol M. Zhabotinsky | Zendy; Irving R. Epstein | Zendy

Open Access

Dynamic Mechanism of Photochemical Induction of Turing Superlattices in the Chlorine Dioxide−Iodine−Malonic Acid Reaction−Diffusion System

Author(s) -

Igal Berenstein,

Lingfa Yang,

Miloš Dolnik,

Anatol M. Zhabotinsky,

Irving R. Epstein

Publication year - 2005

Publication title -

the journal of physical chemistry a

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.756

H-Index - 235

eISSN - 1520-5215

pISSN - 1089-5639

DOI - 10.1021/jp0505882

Subject(s) - harmonics , superlattice , wavelength , turing , instability , breather , reaction–diffusion system , amplitude , diffusion , physics , chemistry , optics , condensed matter physics , computer science , quantum mechanics , nonlinear system , voltage , programming language

We study the mechanism of development of superlattice Turing structures from photochemically generated hexagonal patterns of spots with wavelengths several times larger than the characteristic wavelength of the Turing patterns that spontaneously develop in the nonilluminated system. Comparison of the experiment with numerical simulations shows that interaction of the photochemical periodic forcing with the Turing instability results in generation of multiple resonant triplets of wave vectors, which are harmonics of the external forcing. Some of these harmonics are situated within the Turing instability band and are therefore able to maintain their amplitude as the system evolves and after illumination ceases, while photochemically generated harmonics outside the Turing band tend to decay.

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