Kang Yanmei, Xu Jianxue, XieYong. Stochastic Resonance of The Driven Schlgl Model of Two Boxes in Chemical Reaction[J]. Chinese Journal of Chemical Physics , 2004, 17(5): 531-536. doi: 10.1088/1674-0068/17/5/531-536
Citation: Kang Yanmei, Xu Jianxue, XieYong. Stochastic Resonance of The Driven Schlgl Model of Two Boxes in Chemical Reaction[J]. Chinese Journal of Chemical Physics , 2004, 17(5): 531-536. doi: 10.1088/1674-0068/17/5/531-536

Stochastic Resonance of The Driven Schlgl Model of Two Boxes in Chemical Reaction

doi: 10.1088/1674-0068/17/5/531-536
Funds:  Project supported by the National Natural Science Foundation of China (10172067, 10432010).
  • Received Date: 2003-07-14
  • In order to theoretically disclose the linear and nonlinear responses of the Gaussian white noise driven Schrodinger Model of Two Boxes in chemical reaction to a weak periodic perturbation, the rate equation method is used to derive the analytical expression of linear and nonlinear susceptibilities and the signal-to noise ratio according to quadrustable or bistable adiabatic approximations with in different parameter ranges.The analytically approximate result is also compared with that from numerical simulation. For the parameters under concern, the qualitative agreement is observed between the analytic and the numerical first order resonant structures when the noise intensity is not in zero limit. Moreover, the analytic results show that the resonant behavior can occur only in the odd-order harmonic of the model, but the numerical simulation also shows the second-order harmonic resonance, which might be induced by the finite frequency truncations on the Gaussian white noiseor by the indistinguish ability between high-order harmonics and background noise.
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Stochastic Resonance of The Driven Schlgl Model of Two Boxes in Chemical Reaction

doi: 10.1088/1674-0068/17/5/531-536
Funds:  Project supported by the National Natural Science Foundation of China (10172067, 10432010).

Abstract: In order to theoretically disclose the linear and nonlinear responses of the Gaussian white noise driven Schrodinger Model of Two Boxes in chemical reaction to a weak periodic perturbation, the rate equation method is used to derive the analytical expression of linear and nonlinear susceptibilities and the signal-to noise ratio according to quadrustable or bistable adiabatic approximations with in different parameter ranges.The analytically approximate result is also compared with that from numerical simulation. For the parameters under concern, the qualitative agreement is observed between the analytic and the numerical first order resonant structures when the noise intensity is not in zero limit. Moreover, the analytic results show that the resonant behavior can occur only in the odd-order harmonic of the model, but the numerical simulation also shows the second-order harmonic resonance, which might be induced by the finite frequency truncations on the Gaussian white noiseor by the indistinguish ability between high-order harmonics and background noise.

Kang Yanmei, Xu Jianxue, XieYong. Stochastic Resonance of The Driven Schlgl Model of Two Boxes in Chemical Reaction[J]. Chinese Journal of Chemical Physics , 2004, 17(5): 531-536. doi: 10.1088/1674-0068/17/5/531-536
Citation: Kang Yanmei, Xu Jianxue, XieYong. Stochastic Resonance of The Driven Schlgl Model of Two Boxes in Chemical Reaction[J]. Chinese Journal of Chemical Physics , 2004, 17(5): 531-536. doi: 10.1088/1674-0068/17/5/531-536

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