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阳极溶解电化学振荡体系中白噪声诱导随机共振的模拟

Simulation of Explicit Internal Signal Stochastic Resonance Induced by White Noise in a Electrochemical Model for Anode Dissolve Oscillation

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【作者】 张凡许兵邵会波

【Author】 Zhang Fan~1, Xu Bing~2, Shao Huibo~ 1,2* ( ~1Department of Chemistry, Capital Normal University, Beijing 100037; ~2The Institute for Chemical Physics, School of Science, Beijing Institute of Technology, Beijing 100081)

【机构】 首都师范大学化学系北京理工大学理学院化学物理研究所首都师范大学化学系 北京100037北京100081北京100037

【摘要】 通过对电化学阳极溶解振荡模型加白噪声后引发的随机共振现象的模拟研究发现,在该体系的周期二振荡态时呈现显性内信号随机共振现象。当白噪声加在该电化学体系的周期二振荡态时,内信号的信噪比随着噪声的增大达到了最大值。同样噪声强度情况下,强信号的信噪比增加比弱信号的增加更加迅速。如果同时改变噪声强度,体系的信号频率也维持不变。研究表明,噪声对内信号的优化具有选择性,而体系的内信号也具有抵抗噪声和维持内在机制不变的性质。

【Abstract】 Explicit internal signal stochastic resonance is investigated when white noise is added to the region of periodic-2 oscillatory state in a electrochemical model for anode dissolve oscillations. The signal-to-noise ratio (SNR) of internal signal has a maximum value induced by white noise. It is found that, with the same noise intensity, the increment of the SNR of strong signal is faster than that of the weak signal’s, however, the frequencies of both them change hardly. The simulations show that the noise has selectivity to the intrinsic signals and the system can sustain intrinsic period oscillatory states to resist the effect of noise.

【基金】 国家自然科学基金(29973026);教育部优秀青年教师资助计划;北京市教委资助项目
  • 【分类号】O646
  • 【下载频次】122
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