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  • 1
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Physics Letters A 179 (1993), S. 355-363 
    ISSN: 0375-9601
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Chemical Physics Letters 192 (1992), S. 254-258 
    ISSN: 0009-2614
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Chemical Physics Letters 151 (1988), S. 151-155 
    ISSN: 0009-2614
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 101 (1994), S. 6717-6727 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The CO+O2 reaction on Pd(110) exhibits kinetic oscillations above pO2 ≈ 10−3 Torr and bistability below this pressure. Based on the reversible formation of subsurface oxygen and the Langmuir Hinshelwood mechanism of catalytic CO oxidation, a mathematical model had been developed which described the occurrence of rate oscillations and most of the qualitative features of the oscillations. This model, however, failed to reproduce the change from bistability to oscillatory behaviour with increasing pO2. In this paper we demonstrate that by introducing repulsive interactions between COad and Oad, the subsurface oxygen model correctly reproduces the experimentally determined stability diagram in pO2,pCO parameter space. The effect of the repulsive interactions is to reduce the activation barrier for penetration of chemisorbed oxygen into the subsurface region, thus facilitating the formation of subsurface oxygen at high coverages. For the improved subsurface oxygen model a bifurcation analysis has been conducted in pO2,pCO parameter space. The influence of the constants in the model has been analyzed likewise with bifurcation theory.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 103 (1995), S. 5428-5436 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Experiments on pattern formation in electrochemical systems show qualitative differences in comparison with phenomena observed with other chemical systems. In this paper we derive a general model from the basic transport equations which takes into account the special aspects of electrochemical systems. Stepwise introduction of three approximations considerably simplifies the equations and demonstrates the dominant role the electric potential plays for pattern formation. The simplest form of the model contains migration as the only transport mechanism, and the importance of intrinsic global coupling for the dynamic behavior of electrochemical systems becomes apparent. This simple model already reproduces the experimentally observed front behavior we recently reported [G. Flätgen and K. Krischer, Phys. Rev. E 51, 3997 (1995)]. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 96 (1992), S. 6236-6248 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Under isothermal conditions at low pressure (10−6 mbar range), the NO+CO reaction exhibits oscillatory behavior on a Pt(100) surface. Based on the results of in situ low-energy electron diffraction (LEED) measurements which showed that the 1×1(arrow-right-and-left)hex phase transition is not essential for producing oscillations, a three-variable model of coupled differential equations was developed which instead relies solely on the autocatalysis provided by the stoichiometry of the individual reaction steps. This model has been analyzed with the help of bifurcation theory using realistic values for the constants in the equations. The results demonstrate that the model reproduces, quite well, the existence range for oscillations on Pt(100). Two oscillatory regions exist with a large one located above the stoichiometry ratio pNO@B: pCO=1 and a very small one which is found just below pNO@B: pCO=1. Only the former one has a counterpart in the experiment. At low temperature two isolated branches of the reaction exist which merge at higher T in a transcritical bifurcation thus creating a peculiar hysteresis loop in the shape of a mushroom. Bifurcation analysis has also been applied to investigate the role of the internal parameters, e.g., the role of the constants in the differential equations. The most critical constants were those which control the dissociation of NO and, therefore, are decisive whether ignition or extinction in the reaction takes place. The high degree of qualitative and quantitative agreement which could be achieved with the three-variable model demonstrates that the model provides a reasonable description of the experiments.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 97 (1992), S. 307-319 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The periodically perturbed oscillations in the isothermal CO oxidation on a Pt(110) surface at low pressure were modeled using the recently developed reconstruction model of kinetic oscillations, in which the usual Langmuir–Hinshelwood mechanism is coupled with the CO-driven 1×2(arrow-right-and-left)1×1 phase transition of the surface. The experimental findings (entrainment bands, quasiperiodicity, critical slowing down) could be well reproduced with this model. The calculations revealed a complicated bifurcation fine structure of the Arnol'd tongues. While the skeleton structure turned out to be the same as in other studies, some additional features were found, and several details (mainly in the p/2 tongues) were different from forced systems examined previously. A co-dimension-3 bifurcation (in which a second-order resonance coincides with a degenerate period doubling) is discussed in this context.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 96 (1992), S. 9161-9172 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The parameters entering the kinetics for the mechanism of catalytic CO oxidation have been adapted for a Pt(110) surface, giving rise to a two-variable model correctly predicting bistability. Oscillations are obtained when, in addition, the adsorbate-driven 1×2–1×1 structural phase transition of Pt(110) is taken into account. Mixed-mode oscillations can be qualitatively explained by including the faceting of the surface as a fourth variable. The limitations of the model essentially stem from the fact that only ordinary differential equations have been analyzed so far neglecting spatial pattern formation. It is discussed which dynamic phenomena observed experimentally in the CO oxidation on Pt(110) will probably not be adequately describable without taking spatial effects into account.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Physica D: Nonlinear Phenomena 62 (1993), S. 123-133 
    ISSN: 0167-2789
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Surface Science Letters 251-252 (1991), S. A366 
    ISSN: 0167-2584
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
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