Feng Jing, Xu Wei, Xu Yong, Wang Xiaolong, Kurths Jürgen
Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China.
Potsdam Institute for Climate Impact Research, Telegraphenberg, D-14415 Potsdam, Germany.
Chaos. 2017 Jul;27(7):073105. doi: 10.1063/1.4992125.
The influences of external Lévy noise in CO oxidation on the Ir(111) surfaces are numerically examined. Depending on the control parameters, such as the temperature T and the CO fraction Y in the total reactant input gas flux, the reaction exhibits one or two stable stationary states in the absence of noise. Lévy noise is introduced in the reaction by randomly varying the quality of the influx mixture. We then observe a large variety of different types of behaviors depending on the initial CO fraction Y, in particular, the phenomenon of noise-induced shifts of the steady state in the monostable regime is regarded. We also show how the stationary probability density changes in terms of stochastic bifurcation when Lévy noise is applied in the bistable regime. The results provide a strong evidence for noise-induced transitions. We concentrate on the effects of the stability index α, the skewness parameter β, and the noise intensity D that emphasize the differences with Gaussian fluctuations.
数值研究了外部列维噪声对Ir(111)表面上CO氧化反应的影响。根据控制参数,如温度T和总反应物输入气体通量中的CO分数Y,在无噪声情况下,该反应呈现一个或两个稳定稳态。通过随机改变流入混合物的质量,在反应中引入列维噪声。然后,根据初始CO分数Y,我们观察到多种不同类型的行为,特别是考虑了单稳态区域中稳态的噪声诱导偏移现象。我们还展示了在双稳态区域应用列维噪声时,稳态概率密度如何随随机分岔而变化。结果为噪声诱导的转变提供了有力证据。我们着重研究稳定性指数α、偏度参数β和噪声强度D的影响,这些参数突出了与高斯涨落的差异。