Abstract
Based on a stochastic mesoscopic model, the influence of internal noise on the oscillatory kinetics of the catalytic oxidation of CO on nm-sized palladium particles is studied, using the chemical Langevin equations, Poisson approximation algorithm, and exact stochastic simulation algorithm. The reaction rate oscillations are of stochastic nature due to considerable internal noise in such mesoscopic systems. It is found that the performance of the stochastic oscillations undergoes a maximum with the variation of internal noise level for a given CO partial pressure, which demonstrates the occurrence of internal noise stochastic resonance. This phenomenon implies that optimal internal noise would favor the reaction rate oscillation of CO oxidation on nm particles. Such a phenomenon is robust to the change of external parameters, such as CO pressures.
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Gammaitoni, L., Hanggi, P., Jung, P. et al., Stochastic resonance, Rev. Mod. Phys., 1998, 70(1): 223–287.
Elowitz, M. B. A., Levine, J., Siggia, E. D. et al., Stochastic gene expression in asingle cell, Science, 2002, 297: 1183–1186.
Visart de Bocarme, T., Hruse, N., Kinetic instabilities during the NOx reduction with hydrogen on Pt crystals studied with field emission on the nanoscale, Chaos, 2002, 12: 118–130.
Bond, G. C, Supported metal catalysts: some unsolved problems, Chem. Soc. Rev., 1991, 20: 441–447.
Goodman, D. W., Model studies in catalysis using surface science probes, Chem. Rev., 1995, 95: 523–536.
Bukhtiyarov, V. I., Slinko, M. G., Metallic nanosystems in catalysis, Rus. Chem. Rev., 2001: 70: 147–159.
Henry, C. R., Catalytic activity of supported nanometer-sized metal clusters, Appl. Surf. Sci., 2000, 164: 252–259.
Zhdanov, V. P., Kasemo, B., Simulations of the reaction kinetics on nanometer supported catalyst particles, Surf. Sci. Rep., 2000, 39: 29–104.
Suchorski, Yu., Beben, J., James, E. W. et al., Fluctuation-induced transition in a bistable surface reaction: Catalytic CO oxidation on a Pt field emitter tip, Phys. Rev. Lett., 1999, 82:1907–1910.
Reichert, C, Starke, J., Eiswirth, M. J., Stochastic model of CO oxidation on platinum surfaces and deterministic limit, J. Chem. Phys., 2001, 115:4829–4837.
Sachs, C, Hildebrand, M., Volkening, S. et al, Spatiotemporal self-organization in a surface reaction: From the atomic to the mesoscopic scale, Science, 2001, 293: 1635–1638.
Zhdanov, V. P., Oscillations in catalytic reactions on the nm scale, Catal. Lett, 2000, 69: 21–25.
Slin’ko, M. M., Ukharskii, A. A., Peskov, N. V. et al., Chaos and synchronization in heterogeneous catalytic systems: CO oxidation over Pdzeolite catalysts, Catal. Today, 2001, 70: 341–357.
Peskov, N. V., Slinko, M. M., Jaeger, N. I. et al., Stochastic model of reaction rate oscillations in the CO oxidation on nm-sized palladium particles, J. Chem. Phys., 2002, 116: 2098–2106.
Jaeger, N. J., Peskov, N. V., Slinko, M. M. et al, Analysis and simulation of the dynamics of catalyzed model reaction: CO oxidation on zeolite supported palladium, Kinetics and Catalysis, 2003, 44: 183–197.
Johanek, V., Laurin, M., Grant, A. W. et al., Fluctuations and bi-stabilities on catalyst nan op articles, Science, 2004, 304: 1639–1644.
Sales, B. C, Turner, J. E., Maple, M. B., Oscillatory model of CO oxidation involving subsurface oxygen atoms, Surf. Sci., 1982, 114: 381–392.
Gillespie, D. T., The chemical Langevin equation, J. Chem. Phys., 2000, 113: 297–306.
Hou, Z. H., Xin, H. W., Internal noise stochastic resonance in a circadian clock system, J. Chem. Phys., 2003, 119: 11508–11512.
Hou, Z. H., Xin, H. W., Optimal system size for mesoscopic chemical oscillation, Chem. Phys. Chem., 2004, 5: 407–410.
Gadiner, C. W., Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences, Berlin: Springer-Verlag, 1983.
Press, W. H., Teukolsky, S. A., Vetterling, W. T. et al., Numerical Recipes in C, Cambridge: Cambridge University Press, 1992.
Solari, H. G., Natiello, M. A., Stochastic population dynamics: The Poisson approximation, Phys. Rev. E, 2003, 67: 031918(1–12).
Gillespie, D. T., Exact stochastic simulation of coupled chemical reactions, J. Phys. Chem., 1977, 81: 2340–2361.
White, J. A., Rubinstein, J. T., Kay, A. R., Channel noise in neurons, Trends Neurosci., 2000, 23: 131–137.
Shuai, J. W., Jung, P., Optimal intracellular calcium signaling, Phys. Rev. Lett., 2002, 88: U252-U255.
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Gong, Y., Hou, Z. & Xin, H. Internal noise stochastic resonance in CO oxidation on nm-sized palladium particles. Sc. China Ser. B-Chem. 48, 395–401 (2005). https://doi.org/10.1360/042004-86
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DOI: https://doi.org/10.1360/042004-86