Carbon monoxide oxidation on Iridium (111) surfaces driven by strongly colored noise*

Cisternas, Jaime; Lecaros, Rodrigo; Wehner, Stefan

doi:10.1140/epjd/e2010-00268-3

Cited by 11 publications

(13 citation statements)

References 25 publications

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“…Our results indicate that on the one hand small noise can have a surprising suppressing effect for the rare transitions, but on the other hand large noise induces reversible transitions between the stable states. This work continues the research by the authors on noise-induced transitions on other surfaces, mostly Iridium(111) 3,4,6,7,9,10,[21][22][23][24] .…”

Section: Introductionsupporting

confidence: 75%

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Detailed analysis of transitions in the CO oxidation on palladium(111) under noisy conditions

Cisternas

Wehner

2018

The Journal of Chemical Physics

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It has been shown that CO oxidation on Pd(111) under ultrahigh vacuum conditions can suffer rare transitions between two stable states triggered by weak intrinsic perturbations. Here we study the effects of adding controlled noise by varying the concentrations of O and CO that feed the vacuum chamber, while the total flux stays constant. In addition to the regime of rare transitions between states of different CO reaction rates induced by intrinsic fluctuations, we found three distinct effects of external noise depending on its strength: small noise suppresses transitions and stabilizes the upper rate state; medium noise induces bursting; and large noise gives rise to reversible transitions in both directions. To explain some of the features present in the dynamics, we propose an extended stochastic model that includes a global coupling through the gas phase to account for the removal of CO gas caused by the adsorption of the Pd surface. The numerical simulations based in the model show a qualitative agreement with the noise-induced transitions found in experiments, but suggest that more complex spatial phenomena are present in the observed fluctuations.

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Section: Introductionsupporting

confidence: 75%

“…11 shows the effect of the parameter g in the equilibrium states of the proposed model defined in Eqns. (2)(3)(4)(5)(6). As a larger value of g (a larger surface to volume quotient) is used, the location of the right-most fold (Y h ) is shifted to the right and the UR branch increases its range of existence.…”

Section: Model and Simulationsmentioning

confidence: 99%

Detailed analysis of transitions in the CO oxidation on palladium(111) under noisy conditions

Cisternas

Wehner

2018

The Journal of Chemical Physics

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“…Other works 30,33 have used an Ornstein-Uhlenbeck process to account for the temporal correlation of ζ . This process has a number of convenient features: κ ζ (t) decays exponentially, and ζ (t) can be expressed as the result of a linear Langevin equation that should be included besides the equations for u and v. But in experiments t exp is usually between 3 and 100 s and Y of order one, contradicting the main assumptions behind the Ornstein-Uhlenbeck process.…”

Section: The External Noisementioning

confidence: 99%

“…30, the most general answer to the first exit time problem from UR to LR is given by the adjoint stochastic Liouville equation for G(u, v, ζ, t), the probability that a trajectory that started in t = 0 at (u, v, ζ ) will remain inside certain region R after time t. The evolution of G is given by the adjoint of Eq. (17):…”

Section: First Exit Time Problemmentioning

confidence: 99%

CO oxidation on Ir(111) surfaces under large non-Gaussian noise

Cisternas

Wehner

Descalzi

2012

The Journal of Chemical Physics

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In this article we consider the CO oxidation on Ir(111) surfaces under large external noise with large autocorrelation imposed on the composition of the feed gas, both in experiments and in theory. We report new experimental results that show how the fluctuations force the reaction rate to jump between two well defined states. The statistics of the reaction rate depend on those of the external noise, and neither of them have a gaussian distribution, and thus they cannot be modeled by white or colored noise. A continuous-time discrete-state Markov process is proposed as a suitable model for the observed phenomena. The model captures the main features of the observed fluctuations and can be modified to accommodate other surface reactions and other systems under non-gaussian external noise.

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“…To extend the adiabatic reduction technique used in this paper to the case of stochastic reaction-diffusion systems is also an interesting challenge in surface reactions. The case of external colored noise and non-Gaussian white noise may be also considered in future works [1,23].…”

Section: Discussionmentioning

confidence: 99%

Theoretical analysis of external noise and bistability in the catalytic CO oxidation on Pd(111)

Pineda

Toral

2014

JCM

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We theoretically study the impact of an external noise on a kinetic mean-field model for the bistable catalytic CO oxidation on Pd(111) surfaces. A spatially homogeneous Gaussian white noise is imposed on the fraction of CO in the constant gas flow directed at the surface and the resulting stochastic system is analyzed by a set of Langevin equations. Using an adiabatic elimination technique, we are able to analyze the interplay between the noise and the kinetic bistability reported for this surface reaction in recent experimental studies. The analytical results predict a strong impact on the bistability phase diagram. The stochastic effects are analyzed by computing stationary solutions of the probability distribution functions and the transition times between the active and inactive states of the bistable region. We also introduce an effective potential description that allows us to analyze the impact of noise.

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Carbon monoxide oxidation on Iridium (111) surfaces driven by strongly colored noise*

Cited by 11 publications

References 25 publications

Detailed analysis of transitions in the CO oxidation on palladium(111) under noisy conditions

Detailed analysis of transitions in the CO oxidation on palladium(111) under noisy conditions

CO oxidation on Ir(111) surfaces under large non-Gaussian noise

Theoretical analysis of external noise and bistability in the catalytic CO oxidation on Pd(111)

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