Bifurcation analysis of the three-variable model for the NO+CO reaction on Pt surfaces

Imbihl, R.; Fink, Th.; Krischer, Katharina

doi:10.1063/1.462615

Cited by 60 publications

(44 citation statements)

References 33 publications

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“…Bifurcation analysis shows that the system (2) exhibits Hopf bifurcation at about p h NO = 3.044 × 10 −7 mbar when P CO = 3×10 −7 mbar (see ref. [22] for details). The various constants used in the above equations are given in Table 1.…”

Section: Model and Equationsmentioning

confidence: 97%

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Multiple enhancements of rate oscillations by non-Gaussian noise in NO reduction with CO on Pt(100)

2010

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The effect of the non-Gaussian colored noise (NGN) on the dynamics of nonlinear systems has attracted increasing attention. This work numerically studied the effect of a particular kind of the NGN, mainly in terms of its departure from Gaussian noise, on the rate oscillations (RO) in the catalytic reduction of NO with CO on Pt(100) surfaces. It was found that power spectrum density changes non-monotonically and the signal-to-noise ratio shows several peaks with increasing departure, demonstrating the presence of "departure-induced multiple resonance". Since the departure of the NGN determines the probability distribution and hence denotes the type of the noise, the phenomenon of "departure-induced multiple resonance" not only gives multiple enhancements of the RO by virtue of the departure of the NGN, but also implies that, besides Gaussian noise, various other types of noise may enhance the RO in the surface catalytic reaction systems.non-Gaussian colored noise, catalytic reduction of NO with CO on Pt(100), reaction rate oscillation, coherence resonance

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Section: Model and Equationsmentioning

confidence: 97%

“…The deterministic kinetics of the system (1) can be written as simple three-variable equations [22]:…”

Section: Model and Equationsmentioning

confidence: 99%

Multiple enhancements of rate oscillations by non-Gaussian noise in NO reduction with CO on Pt(100)

2010

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“…Another important process, studied in the Berlin group, was the catalytic oxidation of CO with NO, yielding CO 2 and N 2 and exhibiting the oscillatory course, as well as spatiotemporal patterns on the surface of the catalyst, but detailed description of this process is beyond the scope of this monograph [37,45,46].…”

Section: Oscillations In Anodic Oxidation Of Carbon Monoxidementioning

confidence: 98%

Temporal Instabilities in Anodic Oxidation of Small Molecules/Ions at Solid Electrodes

Orlik

2012

Monographs in Electrochemistry

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Oscillations and multistability in oxidation processes at solid electrodes are important for several reasons. First, they were reported for species that are (or can appear) important in chemical engineering of fuels, including the fuel cells: hydrogen, carbon monoxide, formaldehyde, formic acid/formate ions, 2-propanol, 1-butanol, hydrazine, or ethylene glycol. It can be useful to know how to avoid instabilities involving these species or, on the contrary, to profit from them. Second, electrooxidation of these molecules exhibits rich variety of nonlinear dynamic behaviors which can be treated in a model way for the sake of generalization. Third, some of these processes, under appropriate conditions, can become a source of spatial or spatiotemporal patterns on electrodes which phenomena only recently gained satisfactory explanation and description. In this chapter, we shall summarize the temporal phenomena associated with the oxidation of the above-mentioned molecules, while pattern formation will be discussed in separate Chap. 2 of volume II.Current research data indicate that such processes should be qualified as electrocatalytic, i.e., the electrode surface is actively engaged in the kinetics of the electron transfer reaction, usually involving the process taking place via the adsorbed intermediate. As in the case of other types of electrochemical oscillators, one can observe the evolution of the understanding of the source of chemical instabilitiesfrom early, sometimes oversimplified explanations oriented exclusively on the properties of the electrode/electrolyte interface toward more recent concepts, involving the analysis of the system's stability in terms of nonlinear dynamics. In particular, oscillations under galvanostatic conditions could be understood only recently in terms of the concept of the HN-NDR oscillator [1] (cf. Chap. 3).The anodic oxidation of H 2 on Pt electrode is an electrocatalytic process, in which the electron transfer is preceded by the adsorption of H 2 molecule on the active surface site. Hence, the oscillatory course of this process can be associated M. Orlik, Self-Organization in Electrochemical Systems I, Monographs in Electrochemistry,

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“…Following the Langmüir-Hinshelwood mechanism, the NO + CO reaction on Pt (100) can be described by the following steps [48]:…”

Section: Modelmentioning

confidence: 99%

“…The stochastic model here is developed on the basis of the deterministic model [48]. Following the Langmüir-Hinshelwood mechanism, the NO + CO reaction on Pt (100) can be described by the following steps [48]:…”

Section: Modelmentioning

confidence: 99%

Novel effect of coupled external and internal noise in stochastic resonance

Gong¹,

Xu²,

Han³

et al. 2008

Physica A: Statistical Mechanics and its Applications

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Bifurcation analysis of the three-variable model for the NO+CO reaction on Pt surfaces

Abstract: Synchronization and spatiotemporal selforganization in the NO+CO reaction on Pt(100). I. Unsynchronized oscillations on the 1×1 substrate

Cited by 60 publications

References 33 publications

Multiple enhancements of rate oscillations by non-Gaussian noise in NO reduction with CO on Pt(100)

Multiple enhancements of rate oscillations by non-Gaussian noise in NO reduction with CO on Pt(100)

Temporal Instabilities in Anodic Oxidation of Small Molecules/Ions at Solid Electrodes

Novel effect of coupled external and internal noise in stochastic resonance

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