Abstract
The Pt(110)/CO+O2 system subject to reaction heat, heat conduction and radiative heat transfer is non-isothermal and its temperature varies in time and space. In this paper, taking support temperature (ST) as the control parameter, the effect of the ST fluctuations in the oscillatory dynamics of the non-isothermal Pt(110)/CO+O2 system is numerically studied. It is found that the ST fluctuations may induce stochastic oscillations and the oscillations exhibit stochastic bi-resonance (SBR) with the change of the strength or correlation time of the fluctuations. This result shows that the temperature fluctuations may enhance the chemical reaction oscillations. Moreover, the system can selectively and repeatedly employ the temperature fluctuations to enhance its reaction oscillations. It is also shown when the distance of the ST temperature to the oscillatory region increases a little, the effect of the temperature fluctuations would obviously weaken.
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References
Imbihl R, Ertl G. Oscillatory kinetics in heterogeneous catalysis. Chem Phys, 1995, 95: 697–733
Oertzen A, Mikhailov A S, Rotermund H H, Ertl G. Subsurface oxygen in the CO oxidation reaction on Pt(100): experiments and modeling. J Phys Chem B, 1998, 102: 4966–4981
Reichert C, Starke J, Eiswirth M. Stochastic model of CO oxidation on platinum surfaces and deterministic limit. J Chem Phys, 2001, 115: 4829–4838
Pollmann M, Bertram M, Rotermund H H. Influence of time delayed global feedback on pattern formation in oscillatory CO oxidation on Pt(100). Chem Phys Lett, 2001, 346: 123–128
Kim M, Bertram M, Pollmann M, von Oertzen A, Mikhailov A S, Rotermund H H, Ertl G. Controlling chemical turbulence by global delayed feedback: pattern formation in catalytic CO oxidation on Pt(100). Science, 2001, 292: 1357–1360
Rotermund H H, Pollmann M, Kevrekidis I G. Pattern formation during the CO-oxidation involving subsurface oxygen. Chaos, 2002, 12: 157–163
Bertram M, Mikhailov A S. Pattern formation on the edge of chaos: mathematical modeling of CO oxidation on a Pt(110) surface under global delayed feedback. Phys Rev E, 2003, 67: 036207
Bertram M, Beta C, Pollmann M, Mikhailov A S, Rotermund H H, Ertl G. Pattern formation on the edge of chaos: experiments with CO oxidation on a Pt(110) surface under global delayed feedback. Phys Rev E, 2003, 67: 036208
Beta C, Moula M G, Mikhailov A S, Rotermund H H, Ertl G. Excitable CO oxidation on Pt(110) under non-uniform coupling. Phys Rev Lett, 2004, 93: 188302
Bonnefont A, Varela H, Krischer K. Stationary spatial patterns during bulk CO electrooxidation on platinum. J Phys Chem B, 2005, 109: 3408–3415
Gammaitoni L, Hänggi P, Jung P, Marchesoni F. Stochastic resonance. Rev Mod Phys, 1998, 70: 223–287
Santos G J E, Rivera M, Parmananda P. Experimental evidence of coexisting periodic stochastic resonance and coherence resonance phenomena. Phys Rev Lett, 2004, 92: 230601
Santos G J E, Rivera M, Eiswirth M, Parmananda P. Effects of noise near a homo-clinic bifurcation in an electro-chemical system. Phys Rev E, 2004, 70: 021103
Parmananda P, Santos G J E, Rivera M, Showalter K. Stochastic resonance of electrochemical aperiodic spike train. Phys Rev E, 2005, 71: 031110
Yang L F, Hou Z H, Xin H W. Stochastic resonance in surface catalytic oxidation of carbon monoxide. J Chem Phys, 1998, 109: 2002–2005
Yang L F, Hou Z H, Zhou B J, Xin H W. Stochastic resonance in surface reduction of NO with CO on Pt(100). J Chem Phys, 1998, 109: 6456–6459
Yang L F, Hou Z H, Xin H W. Stochastic resonance in the absence and presence of external signals for a chemical reaction. J Chem Phys, 1999, 110: 3591–3595
Gong Y B, Hou Z H, Xin H W. Optimal particle size for reaction rate oscillation in CO oxidation on nanometer sized palladium particles. J Phys Chem B, 2004, 108: 17796–17799
Gong Y B, Hou Z H, Xin H W. Internal noise stochastic resonance in NO reduction by CO on platinum surfaces. J Phys Chem A, 2005, 109: 2741–2745
Zhao G, Hou Z H, Xin H W. Canard explosion and coherent biresonance in the rate oscillation of CO oxidation on platinum surfaces. J Phys Chem A, 2005, 109: 8515–8519
Rotermund H H. Imaging of dynamic patterns on surfaces. Curr Opin Solid State Mater Sci, 1998, 3: 354–360
Cisternas J, Holmes P, Kevrekidis I G, Li X J. CO oxidation on thin Pt crystal: temperature slaving and the derivation of lumped model. J Chem Phys, 2003, 118: 3312–3328
Krischer K, Eiswirth M, Ertl G. Periodic perturbation of the oscillatory CO oxidation on Pt(110): model calculations. J Chem Phys, 1992, 97: 307–319
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Supported by the Science Foundation of Ludong University (Grant No. 23140301, L20072805)
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Gong, Y., Xu, B., Han, J. et al. Stochastic bi-resonance in non-isothermal carbon monoxide catalytic oxidation system. Sci. China Ser. B-Chem. 50, 731–736 (2007). https://doi.org/10.1007/s11426-007-0083-z
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DOI: https://doi.org/10.1007/s11426-007-0083-z