单变量多重定态转变体系中热传导-化学反应偶合诱发的温度-浓度振荡

The Thermo-kinetic Oscillation Induced By The Chemical Reaction-Heat Conduction In a Single Component Multi-Steady States Transition Model System

以Schl¨ogl模型为样本,分析了该类非恒温均匀的单变量多定态转变体系中因传热 化学反应诱发的热动力学振荡.分别借助小寄生参数法与线性化稳定性分析法,具体讨论了产生温度 浓度振荡的阈值,并计算了参数空间中的振荡区,论证了两种分析方法出现振荡的参数空间重叠区,是该类二变量体系出现吻合一致的极限环振荡的充分必要条件.丰富了二变量体系出现极限环振荡的判据体系.

The thermokinetic oscillation in a homogenous nonisothermal singbe component schlgl model system under a certain boundary condition is analyzed, by use of small parasite parameter and linearized stability analysis, both analytically and with computer. The threshold and the parameter region of thermokinetic oscillation are further studied. It turns out that the coincident parameter region based on the multiple steady state transition from parasite parameter analysis and the temperatureconcentration limit cycle oscillation from linearized stability analysis is satisfying the necessary conditions ,and dominated not only by the intrinsic parameters but also by the constraints forced on the system externally.