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  Chemical turbulence and standing waves in a surface reaction model: The influence of global coupling and wave instabilities

Bär, M., Hildebrand, M., Eiswirth, M., Falcke, M., Engel, H., & Neufeld, M. (1994). Chemical turbulence and standing waves in a surface reaction model: The influence of global coupling and wave instabilities. Chaos, 4(3), 499-508. doi:10.1063/1.166028.

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1.166028.pdf (Publisher version), 947KB
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1994
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 Creators:
Bär, Markus1, Author           
Hildebrand, Michael1, Author           
Eiswirth, Markus1, Author           
Falcke, M.2, Author
Engel, H.2, Author
Neufeld, M.3, Author
Affiliations:
1Physical Chemistry, Fritz Haber Institute, Max Planck Society, ou_634546              
2AG ‘‘Dissipative Strukturen,’’ Institut für Theoretische Physik der TU Berlin, Rudower Chaussee 5, D‐12489 Berlin, Germany, ou_persistent22              
3Institut für Theoretische Physik der Universität Stuttgart, Pfaffenwaldring 57, D‐70550 Stuttgart, Germany, ou_persistent22              

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 Abstract: Among heterogeneously catalyzed chemical reactions, the CO oxidation on the Pt(110) surface under vacuum conditions offers probably the greatest wealth of spontaneous formation of spatial patterns. Spirals, fronts, and solitary pulses were detected at low surface temperatures (T<500 K), in line with the standard phenomenology of bistable, excitable, and oscillatory reaction‐diffusion systems. At high temperatures (T≳540 K), more surprising features like chemical turbulence and standing waves appeared in the experiments. Herein, we study a realistic reaction‐diffusion model of this system, with respect to the latter phenomena. In particular, we deal both with the influence of global coupling through the gas phase on the oscillatory reaction and the possibility of wave instabilities under excitable conditions. Gas‐phase coupling is shown to either synchronize the oscillations or to yield turbulence and standing structures. The latter findings are closely related to clustering in networks of coupled oscillators and indicate a dominance of the global gas‐phase coupling over local coupling via surface diffusion. In the excitable regime wave instabilities in one and two dimensions have been discovered. In one dimension, pulses become unstable due to a vanishing of the refractory zone. In two dimensions, turbulence can also emerge due to spiral breakup, which results from a violation of the dispersion relation.

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Language(s): eng - English
 Dates: 1994-05-101994-07-171994-09
 Publication Status: Issued
 Pages: 10
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1063/1.166028
 Degree: -

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Title: Chaos
  Other : Chaos : an interdisciplinary journal of nonlinear science
Source Genre: Journal
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Publ. Info: Woodbury, NY : American Institute of Physics
Pages: 10 Volume / Issue: 4 (3) Sequence Number: - Start / End Page: 499 - 508 Identifier: ISSN: 1054-1500
CoNE: https://pure.mpg.de/cone/journals/resource/954922836228