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热补偿恒温控制条件下铂电极BZ反应体系中的电化学时间自组织——从极限环型电化学振荡到环面跳跃型非连续电化学振荡

钟东辉, 范昱煜, 罗久里   

  1. 四川大学化学学院化学物理研究所, 成都 610064
  • 收稿日期:2005-12-21 修回日期:1900-01-01 出版日期:2006-11-10 发布日期:2006-11-10
  • 通讯作者: 罗久里

Electrochemical Temporo-organization in Pt-electrode BZ Reaction System Constrained by Temperature Controlling of Heat Compensation Type——From Limit Cycle Oscillation to Intermittent Torus-like Electrochemical Oscillation

ZHONG Dong-Hui, FAN Yu-Yu, LUO Jiu-Li   

  1. Institute of Chemical Physics, College of Chemistry, Sichuan University, Chengdu 610064, China
  • Received:2005-12-21 Revised:1900-01-01 Online:2006-11-10 Published:2006-11-10
  • Contact: LUO Jiu-Li

摘要: 在实验室的热补偿恒温控制条件下, 理论预测的等温恒电流(电压)电化学振荡实际上将发生变异. 用慢流型上准定态的线性化稳定性分析法全面分析了此类恒温控制条件下铂电极BZ反应系在以温度为慢变参数的慢流型上的准稳定性及绕温度轴慢变轨迹的动力学行为. 发现在温度围绕控制值上下往复波动的每一个周期内, 准定态点将穿梭跨越于振荡区与非振荡区之间, 表现为间隙性的沿温度轴的环面型电化学振荡. 计算机模拟结果证实了上述理论分析.

关键词: Pt电极BZ反应系, 热补偿恒温控制, 极限环型电化学振荡, 环面型电化学振荡

Abstract: Under the lab-condition of temperature controlled by heat compensation, the fictitious isothermal electrochemical oscillation in type of limit cycle will degenerate owing to the undulation of temperature in the range allowed by controlled accuracy. In this paper we show that the Pt-electrode BZ reaction system under the lab-condition of temperature controlled can be reduced to a three-variables dynamic system with two slow varying parameters. Furthermore, by a linearized stability analysis for the quasi-steady states of this kind of electrode reaction system on the slow-manifold, it turns out that in every undulating period of the temperature the corresponding quasi-steady state shuttle back and forth between both the oscillation regime and the non-oscillation regime a long with the slow variation of the temperature of the thermostat. As a result, a kind of intermittent torus-like oscillation will appear in this system. The argument formed in this paper was verified by computerized simulation.

Key words: Pt-electrode BZ reaction system, Temperature controlling of heat compensation type, Limit-cycle electrochemical oscillation, Torus-like electrochemical oscillation

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