HPLC analysis of complete BZ systems. Evolution of the chemical composition in cerium and ferroin catalysed batch oscillators: experiments and model calculations

Hegedűs, László; Wittmann, Mária; Noszticzius, Zoltán; Yan, Shuhua; Sirimungkala, Atchara; Försterling, Horst‐Dieter; Field, Richard J.

doi:10.1039/b103432b

Cited by 71 publications

(87 citation statements)

References 22 publications

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“…3 The BZ reaction mechanism is very complex, and the latest proposed full models for the cerium catalyzed reaction involves more than 80 elemental steps. 4,5 In the Appendix section, we show a simplified model used for ferroin catalyzed BZ systems; we employed this model to perform the simulations reported in the discussion section.…”

Section: Introductionmentioning

confidence: 99%

Spatio-Temporal Perturbation of the Dynamics of the Ferroin Catalyzed Belousov−Zhabotinsky Reaction in a Batch Reactor Caused by Sodium Dodecyl Sulfate Micelles

et al. 2008

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The effects of the anionic surfactant sodium dodecyl sulfate (SDS) on the spatio-temporal and temporal dynamics of the ferroin-catalyzed Belousov-Zhabotinsky (BZ) reaction have been studied over a wide surfactant concentration range. For the first time, investigations were performed also for unstirred systems. The presence of SDS in the reaction mixture influences the oscillatory parameters to an extent that significantly depends on the surfactant concentration. The trend of the wave speed V upon the increasing amount of SDS was found to have a maximum at [SDS] ) 0.075 mol dm -3 (V ) 0.071 mm s -1 ), after which the speed decreased to 0.043 mm s -1 at [SDS] ) 0.5 mol dm -3 , which is below the value found in the absence of the surfactant (V ) 0.055 mm s -1 ). The response of the oscillatory BZ system to the addition of SDS has been ascribed to two different causes: (a) the peculiar capability of the organized surfactant assemblies to affect the reactivity by selectively sequestering some key reacting species and (b) the modifications induced by SDS on the physical properties of the medium. These hypotheses have been corroborated by performing spectrophotometric investigations on the stirred BZ system. Complementary viscosity measurements gave useful hints for the clarification of the surfactant role.

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Section: Introductionmentioning

confidence: 99%

Spatio-Temporal Perturbation of the Dynamics of the Ferroin Catalyzed Belousov−Zhabotinsky Reaction in a Batch Reactor Caused by Sodium Dodecyl Sulfate Micelles

et al. 2008

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“…Among the model systems that have attracted the attention of researchers, the oscillating reaction of Belousov-Zhabotinsky (BZ) is one of the most extensively studied. [1][2][3][4][5][6][7] In fact, the first study was undertaken in order to mimic the Krebs cycle. In its "classic" version, the BZ reaction consists of the bromuration and oxidation of an organic substrate (the malonic acid) in strongly acidic medium, in the presence of a catalyst (one electron redox couple, usually the system Ce(IV)/Ce(III) or Ferroin/Ferriin).…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Response of a Batch BZ Oscillator to the Addition of the Anionic Surfactant Sodium Dodecyl Sulfate

2007

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The response of the Belousov-Zhabotinsy (BZ) system to the addition of increasing amounts of the anionic surfactant sodium dodecyl sulfate (SDS) was monitored at 25.0°C in stirred batch conditions. The presence of SDS in the reaction mixture influences the oscillatory parameters, i.e., induction period and oscillation period, to an extent that depends on the surfactant concentration. The experimental results have shown that the induction period increases slightly on increasing surfactant concentration and, then, a further increase in the [SDS] leads to an enhancement while the oscillation period increases monotonously on increasing SDS concentration. It has been proposed that the response of the oscillatory BZ system to the addition of SDS is due to the peculiar capability of the organized surfactant assemblies to affect the reactivity by selectively sequestering some key reacting species. Indeed, explanations of the experimental results have been given on the basis of the role played by the micellar shape, which in turn dictates the hydrophobic nature. The suggested perturbation effects have been supported by performing viscosity measurements on the aqueous SDS solutions and by the spectrophotometric estimation of the binding constant of the bromine species to the micellar aggregates. This study has indirectly corroborated the existence of two kind of micelles and unambiguously revealed that the bromine species show a different affinity toward the spherical and rod-like micelles.

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“…This modelling runs counter to the established method of modelling chemical kinetics in which the generated ordinary differential equations are solved through eigenvalues and eigenvectors. [9][10][11][12] A model of the chemical system which does not utilize kinetics constants may appear to have no relationship with the system under study.…”

Section: Bro3mentioning

confidence: 99%

Lyapunov exponents and the Belousov-Zhabotinsky oscillator: an interactive computational approach

Eskew

Simoyi

2017

S.Afr.j.chem.

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The Belousov-Zhabotinsky (BZ) chemical oscillator is the most studied oscillator. It has been modelled on the basis of single-step mechanisms which have been continuously refined since the seminal manuscript by Field, Koros and Noyes in 1972. This manuscript reports on a unique way of modelling the global dynamics of the oscillator by assuming that the BZ oscillator has shown chaotic behaviour. The unique mathematical definition of chaos is very stringent, and, in this manuscript, we attempt to trace this unique exotic behaviour by the use of 'onto' maps of the interval onto itself which are known to exhaustively show a universal sequence of states that has all the hallmarks of chaotic behaviour. A series of one-humped maps of the interval display, through iterations and subsequent symbolic dynamics, a universal sequence of steps that commence with period-doubling, culminating in chaotic behaviour at some accumulation point of an appropriate bifurcation parameter. We put this theory to the test for the BZ oscillator in this manuscript by selecting a unique continuous map of the interval. This was then decomposed by an iterative treatment. Metric entropy and subsequent arbiter of chaotic behaviour was determined by evaluation of Lyapunov exponents which were then compared to observed BZ oscillator states. Our proposed map satisfactorily modelled the global dynamics of the BZ oscillator; predicted period-doubling, and a regime after a critical bifurcation parameter, where chaotic sequences were dense. We also produce, in the Addendum, an iterative MatLab procedure that any reader can utilize to reveal the type of states and behaviour reported here. KEYWORDS BZ Oscillator, chemical chaos, one-dimensional maps, maps of the interval, symbolic dynamics, Lyapunov characteristic exponent.

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HPLC analysis of complete BZ systems. Evolution of the chemical composition in cerium and ferroin catalysed batch oscillators: experiments and model calculations

Cited by 71 publications

References 22 publications

Spatio-Temporal Perturbation of the Dynamics of the Ferroin Catalyzed Belousov−Zhabotinsky Reaction in a Batch Reactor Caused by Sodium Dodecyl Sulfate Micelles

Spatio-Temporal Perturbation of the Dynamics of the Ferroin Catalyzed Belousov−Zhabotinsky Reaction in a Batch Reactor Caused by Sodium Dodecyl Sulfate Micelles

Nonlinear Response of a Batch BZ Oscillator to the Addition of the Anionic Surfactant Sodium Dodecyl Sulfate

Lyapunov exponents and the Belousov-Zhabotinsky oscillator: an interactive computational approach

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