Noise-induced spatiotemporal patterns in a bistable reaction-diffusion system: Photoelectron emission microscopy experiments and modeling of the CO oxidation reaction on Ir(111)

Patrick Hoffmann, Stefan Wehner, Dieter Schmeisser, Helmut R. Brand, and Jürgen Küppers
Phys. Rev. E 73, 056123 – Published 23 May 2006

Abstract

We use photoelectron emission microscopy (PEEM) measurements to study the spatiotemporal patterns obtained for the CO oxidation reaction on Ir(111) as a function of the noise strength we superpose on the CO and the oxygen fractions of the constant total reactant gas flux. The investigations are focused on the bistable regime this reaction displays including its monostable vicinity. Simultaneously we analyze numerically the underlying reaction-diffusion (RD) equations in two spatial dimensions. For intrinsic and/or small strength of the external noise we find transitions from the locally stable to the globally stable branch via slow nucleation and growth of islands of the globally stable state: oxygen or CO, respectively. With increasing noise strength the number of islands as well as their growth rate increases. These phenomena are very well reproduced by numerical calculations of the RD model. For sufficiently large noise strength we observe bursts from CO rich to oxygen rich and back as well as switching between the two states. While such phenomena are also obtained from the model calculations, their experimentally observed spatial scales were not satisfactorily reproduced using the same approach as for the lower noise strengths.

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  • Received 24 January 2006

DOI:https://doi.org/10.1103/PhysRevE.73.056123

©2006 American Physical Society

Authors & Affiliations

Patrick Hoffmann1, Stefan Wehner2,*, Dieter Schmeisser1, Helmut R. Brand3, and Jürgen Küppers2,4

  • 1Angewandte Physik II, Brandenburgische Technische Universität Cottbus, 03013 Cottbus, Germany
  • 2Experimentalphysik III, Universität Bayreuth, 95440 Bayreuth, Germany
  • 3Theoretische Physik III, Universität Bayreuth, 95440 Bayreuth, Germany
  • 4Max-Planck-Institut für Plasmaphysik (EURATOM Association), 85748 Garching, Germany

  • *Electronic address: stefan.wehner@uni-bayreuth.de

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Vol. 73, Iss. 5 — May 2006

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