Juan Ma, Zhong-huai Hou, Hou-wen Xin. Coherent Resonance for Rate Oscillations During CO Oxidation on Pt(110) Surfaces: Interplay Between Internal and External Noise[J]. Chinese Journal of Chemical Physics , 2008, 21(4): 339-345. doi: 10.1088/1674-0068/21/04/339-345
Citation: Juan Ma, Zhong-huai Hou, Hou-wen Xin. Coherent Resonance for Rate Oscillations During CO Oxidation on Pt(110) Surfaces: Interplay Between Internal and External Noise[J]. Chinese Journal of Chemical Physics , 2008, 21(4): 339-345. doi: 10.1088/1674-0068/21/04/339-345

Coherent Resonance for Rate Oscillations During CO Oxidation on Pt(110) Surfaces: Interplay Between Internal and External Noise

doi: 10.1088/1674-0068/21/04/339-345
Funds:  The work was supported by the National Natural Science Foundation (No.20433050 and No.20673106).
  • Received Date: 2007-12-24
  • Rev Recd Date: 2008-03-25
  • Effects of noise on rate oscillations during CO oxidation on Pt(110) surface were investigated, both theo-retically and numerically, by focusing on the interplay of internal noise (IN) due to stochasticity in reaction events, and external noise (EN) resulting from parameter perturbation. The surface is divided into cells of variable size which are assumed to be well mixed, and we consider the behavior inside a single cell. At-tention is paid to parameter regions subthreshold of the deterministic Hopf bifurcation, where noise can induce stochastic oscillations, the signal-to-noise ratio (SNR) of which shows a maximum with the variation of noise intensity, known as coherent resonance (CR). By stochastic normal theory, we show that IN and EN contribute in a weighted additive way to an effective noise that lead to CR, such that SNR shows a ridge shape in the D-1/N plane, where D and 1/N measures the strength of EN and IN, respectively. It is shown that for too large IN (EN), CR behavior with EN (IN) no longer exists. Numerical simulations show good agreements with the theoretical results
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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Coherent Resonance for Rate Oscillations During CO Oxidation on Pt(110) Surfaces: Interplay Between Internal and External Noise

doi: 10.1088/1674-0068/21/04/339-345
Funds:  The work was supported by the National Natural Science Foundation (No.20433050 and No.20673106).

Abstract: Effects of noise on rate oscillations during CO oxidation on Pt(110) surface were investigated, both theo-retically and numerically, by focusing on the interplay of internal noise (IN) due to stochasticity in reaction events, and external noise (EN) resulting from parameter perturbation. The surface is divided into cells of variable size which are assumed to be well mixed, and we consider the behavior inside a single cell. At-tention is paid to parameter regions subthreshold of the deterministic Hopf bifurcation, where noise can induce stochastic oscillations, the signal-to-noise ratio (SNR) of which shows a maximum with the variation of noise intensity, known as coherent resonance (CR). By stochastic normal theory, we show that IN and EN contribute in a weighted additive way to an effective noise that lead to CR, such that SNR shows a ridge shape in the D-1/N plane, where D and 1/N measures the strength of EN and IN, respectively. It is shown that for too large IN (EN), CR behavior with EN (IN) no longer exists. Numerical simulations show good agreements with the theoretical results

Juan Ma, Zhong-huai Hou, Hou-wen Xin. Coherent Resonance for Rate Oscillations During CO Oxidation on Pt(110) Surfaces: Interplay Between Internal and External Noise[J]. Chinese Journal of Chemical Physics , 2008, 21(4): 339-345. doi: 10.1088/1674-0068/21/04/339-345
Citation: Juan Ma, Zhong-huai Hou, Hou-wen Xin. Coherent Resonance for Rate Oscillations During CO Oxidation on Pt(110) Surfaces: Interplay Between Internal and External Noise[J]. Chinese Journal of Chemical Physics , 2008, 21(4): 339-345. doi: 10.1088/1674-0068/21/04/339-345

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