Turing Patterns in Chemical Systems

Nagao, Raphael; Varela, Hamilton

doi:10.5935/0100-4042.20160026

Cited by 4 publications

(8 citation statements)

References 79 publications

(106 reference statements)

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“…49 Process 3 comprises a feedback process that is crucial for the dynamics of the CDIMA reaction. 6,49,50 The rate r 3 includes parameter α, the threshold concentration of [I − ] beyond which the suppressive impact of iodine becomes significant. 51 Notably, in this reaction step, iodide functions as a self-inhibitor.…”

Section: Ma I Ima I Hmentioning

confidence: 99%

“…Thus, PVA acts not only as a color indicator for the patterns, but also as a species that allows Turing patterns to form in the CDIMA reaction. 6,50 The investigation of Turing patterns is often carried out in open systems using a continuously fed unstirred reactor (CFUR), keeping the system far from equilibrium. 7 However, it also has been demonstrated that it is feasible to observe transient Turing patterns in the CDIMA reaction in a closed, batch system.…”

Section: Ma I Ima I Hmentioning

confidence: 99%

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Turing Patterns in the Chlorine Dioxide-Iodine-Malonic Acid Reaction–Diffusion Batch System

Katz,

Silva-Dias,

Dolnik

2024

J. Chem. Educ.

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Under the appropriate conditions, oscillatory chemical reactions have the capacity to generate chemical waves and spatial patterns. Among these structures, Turing patterns are a distinct class that, to date, has not been commonly demonstrated in a classroom environment. We present here a novel, practical procedure for the demonstration of Turing patterns in a chemical reaction−diffusion batch system, which has the potential for diverse applications in a variety of settings, while allowing for a degree of variability. Altering the experimental conditions can produce varying proportions of spotted and striped patterns that are stable for long periods of time, allowing them to be viewed for entire lecture periods. This remarkable demonstration can be a valuable pedagogical tool for the introduction of a variety of chemical concepts, including reaction−diffusion kinetics, nonequilibrium thermodynamics, and autocatalysis.

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Section: Ma I Ima I Hmentioning

confidence: 99%

Section: Ma I Ima I Hmentioning

confidence: 99%

Turing Patterns in the Chlorine Dioxide-Iodine-Malonic Acid Reaction–Diffusion Batch System

Katz,

Silva-Dias,

Dolnik

2024

J. Chem. Educ.

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“…It was placed on one side against an optical glass window through which illumination was applied, and on the other side, it was coupled with a CSTR. A detailed description of the experimental apparatus is reported in ref . A 1510X DLP projector (Dell) was used to implement uniform visible white light illumination of the CFUR, while ultraviolet light, with a peak centered at 368 nm, was applied by a controlling module HLV2 series (CCS).…”

Section: Experimental Proceduresmentioning

confidence: 99%

Modulation of Turing Patterns in the CDIMA Reaction by Ultraviolet and Visible Light

et al. 2019

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We have carried out the first systematic study of the effects of ultraviolet light, both alone and in combination with visible white light, on Turing patterns in the chlorine dioxide–iodine–malonic acid (CDIMA) reaction. The ultraviolet light used has a sharp peak at 368 nm and can perturb the system selectively. It primarily decomposes chlorine dioxide in a zeroth-order reaction, and when it is used to illuminate Turing patterns, shrunken spots are formed with an imperfect hexagonal arrangement. The ultraviolet light competes directly with the visible white light via the photoreaction with dissolved chlorine dioxide, which prevents the total suppression of patterns at intermediate intensities of white light. These results suggest that specific wavelengths of light in the ultraviolet spectrum selectively modify the chemistry behind the pattern formation and can be utilized to generate novel self-organized structures under forcing conditions. We propose a modified Lengyel–Epstein model to incorporate the effect of ultraviolet illumination and obtain good qualitative agreement between simulations and experiments. These results support the idea that chlorine dioxide photoreaction is a key step in modulating CDIMA patterns under ultraviolet illumination.

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“…Alan Turing demonstrated that these structures can be described by the following mathematical model: where u is an inhibitor and v an activator, f and g are the net change rates of these chemical substances and, D u and D v are the respective diffusion coefficients. Turing patterns appear when one of the solutions of the dynamic system, corresponding to a stable fixed point with no diffusivity, is unstable in the presence of diffusive processes (Nagao & Varela, 2016;Peña Pellicer, 2002). It is necessary to solve the following equations to find the system's solutions: f (u,v) =0 and g(u,v)=0.…”

Section: Pattern Formation At All Scales: Main Featuresmentioning

confidence: 99%

“…Depending on the nature of the dynamics, some chemical, physical or mixed instabilities may take place within the system (Guiu-Souto, et al, 2013;Nagao & Varela, 2016;Nicolis & Prigogine, 1977;Satnoianu, et al, 2010;Schwarzenberger, et al, 2014;Strogatz, 2001), and as a result, state-specific fluctuations are amplified resulting in a breaking of spatial symmetry and thus leading to the occurrence of structures and patterns. Non-equilibrium processes and states are studied through the formalism of non-equilibrium thermodynamic or thermodynamics of irreversible processes, either to determine transport coefficients described by the flows or to evaluate entropy generation through coordinates The theory of non-linear dynamical systems (Murray, 2003b;Strogatz, 2001) allows us to study the nature of instabilities (chemical, thermal, transport, hydrodynamic, etc.…”

Section: Dynamic and Thermodynamic Considerations Of Space-time Self-mentioning

confidence: 99%

Patrones en la naturaleza: más que un diseño inspirador

Serna

2017

Rev. Acad. Colomb. Cienc. Ex. Fis. Nat.

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At all scales and both in animate and inanimate systems, nature displays a wide variety of colors, rhythms, and forms. For decades, these natural patterns and rhythms have been studied and used as a source of inspiration for the technological development and well-being of human beings. Today we understand that the design of these patterns responds to principles of functionality and efficiency. This article focuses on physicochemical aspects to show how the study of spatiotemporal patterns became such an important area of interest and research for natural sciences. In particular, we address some systems in which the formation of patterns is explained by the coupling between chemical and transport processes, such as chemical gardens, periodic precipitation and Turing patterns. © 2017. Acad. Colomb. Cienc. Ex. Fis. Nat. Key words: Turing patterns; Morphogenesis; Periodic precipitation; Energy Economy; Bio-inspired processes. Patrones en la naturaleza: más que un diseño inspirador ResumenEn la naturaleza observamos una amplia variedad de colores, ritmos y formas, a toda escala y en sistemas animados e inanimados. Desde hace décadas los patrones y ritmos de la naturaleza han sido objeto de estudio y fuente de inspiración en el desarrollo tecnológico y en el bienestar del ser humano. Hoy entendemos que el diseño de los patrones de la naturaleza obedece a principios de funcionalidad y de eficiencia. En este artículo nos enfocamos en aspectos fisicoquímicos para mostrar cómo el estudio de los patrones espacio-temporales se convirtió en un área de gran interés e investigación en ciencias naturales. En particular, abordamos algunos sistemas donde la formación de patrones se explica mediante el acople entre procesos químicos y de transporte, tales como los jardines químicos, la precipitación periódica y los patrones de Turing.

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Turing Patterns in Chemical Systems

Cited by 4 publications

References 79 publications

Turing Patterns in the Chlorine Dioxide-Iodine-Malonic Acid Reaction–Diffusion Batch System

Turing Patterns in the Chlorine Dioxide-Iodine-Malonic Acid Reaction–Diffusion Batch System

Modulation of Turing Patterns in the CDIMA Reaction by Ultraviolet and Visible Light

Patrones en la naturaleza: más que un diseño inspirador

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