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

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.     

从多重定态到化学振荡

通过对化学反应体系动力学模型的分析, 论证了通过在多重定态体系中引入适当慢反馈步骤设计化学振荡体系的可能性, 提出了这类体系的动力学方程具有振荡解的判据以及在参数平面内划分振荡区域的方法。采用这种途径具体分析了一氧化碳在铂催化剂上氧化产生振荡现象的机理。     

封闭型简单反应系统中复杂动力学行为的模拟

研究了一个只涉及双分子反应步骤(A+B→C+D, B+C→2B)和单分反应步骤(B→p, E→A, G→B, A→D, C→P)的封闭反应系统的动力学行为, 尤其是各种状态之间的跃迁行为. 在用准定态分析方法得到的准定态分岔图的基础上, 进行了大量的数值模拟, 模拟结果和难定态分岔图预言的结果基本一致. 这些结果能定性解释近年来在封闭反应体系中发现的各种动力学现象, 如化学振荡, 多重稳定性以及定态激发现象等。     

甲酸Pt电极电化学氧化体系中时间自组织导致的可利用功耗失

在电极化学反应步骤为控制步骤的条件下,对甲酸阳极氧化体系中出现的电化学振荡的阈值及跨越阈值后状态演化的极限环路径进行了系统动力学计算.同时,根据非平衡电极过程的耗散-涨落理论,进一步对跨越振荡阈值前后的临界区与电化学震荡区的极化曲线及功耗谱进行了随机热力学分析计算.研究结果表明,跨越临界区后单位电化学反应功耗谱出现突降...     

铜电极阳极溶解过程恒电位电流振荡的动力学模型

研究了铜电极在酸性氯化钠溶液中的恒电位电流振荡行为,分析了电极过程中的非线性步骤及电化学耦合因素,提出了一个可能的电极过程动力学模型,并借助线性稳定性分析及分支分析得到了参数坐标空间中的动力学行为区域图。在此基础上,将极化曲线视为稳定非平衡定态区态函（电流）与外控参数（电位）的关系,同时将恒电位电流振荡模拟为稳定极限环振荡,分别计算出了极化曲线与时间－电流振荡曲线,其结果与实验数据相符,表明该类电     

受高斯白噪声影响的有限化学反应体系的随机热力学——外噪声对化学反应体系影响的有效热力学量度

通过分析噪声对跃迁概率的不同影响,借助Novikov定理及MSR理论,建立了受多源白噪声影响的有限化学反应体系的有效主方程及有效熵平衡方程,导出非平衡定态时这类噪声体系熵产生的一般表达式,揭示涨落熵产生的统计内涵及噪声贡献,并针对非宏观量级的外噪声,借助扰动按分布参数分离法及有效主方程的Kramers-Moyal展开,进一步对简单加合性噪声建立了非平衡定态宏观稳定性判据的随机模拟,论证了噪声对化学反应体系定态稳定性的弱化作用.     

低浓度三分子双曲型反应-扩散方程的非线性理论

建立了低浓度三分子模型双曲型反应-扩散的波动方程，研究了定态的稳定性，重点研究了Turing不稳定问题，指出双曲型方程的Turing不稳定不受扩散系数不相等（Dx≠Dy）这一条件的约束，进而对方程作近似的分支分析，讨论了出现极限环的条件，最后对极限环和定态不稳定作了数值研究．     

铂电极BZ反应体系的系统动力学分析

在一定的条件下,将铂电极BZ化学反应的六变量高维动力学系约化为三变量体系,同时对该体系进行了全面的系统动力学分析.研究结果表明,通过改变耦合体系的外控参数条件,在将体相保持在均一稳定定态的参数范围内,电极反应相可能进入振荡区,而呈现出电极反应相与体相的动力学行为不一致性.进一步计算出体相处于非振荡状态时,电极反应相产生电化学振荡的外控参数区域.     

介观振荡化学反应体系的内噪声随机共振

用化学Langevin方程研究了内噪声对介观振荡化学反应体系的影响.研究发现,在确定性体系处于定态条件下,内噪声可以导致体系振荡:随着内噪声强度的变化,诱导振荡信号的信噪比通过一个极大值,表明内噪声随机共振的出现;由于内噪声强度随着系统体积的变化而改变,因此,这一现象也证明了系统尺度共振,即最佳尺度效应的存在.     

11,12,13-三甲基-1,4,7,10-四氮杂十三环-10,13-二烯-镍(Ⅱ)配合物催化的新型振荡化学反应

本文报道了一种新型振荡化学反应体系—BrO_3~--MA-H_2SO_4-[Ni(L-H)]X(X为配阴离子)体系,其中MA为丙二酸,L代表题给大环11,12,13-三甲基-1,4,7,10-四氮杂十三环-10,13-二烯.测得了该体系发生振荡的组分浓度范围;研究了各物种浓度、自由基抑制剂和还原剂对振荡反应的影响;还测得了振荡的轨迹为螺旋线而非极限环,由于催化剂消耗振荡衰减;初步提出了振荡反应发生的可能机理.     

牛血清白蛋白对Cu2+-SCN--H2O2化学振荡系统影响作用的初步研究

研究了牛血清白蛋白(BSA)对Cu2+-SCN--H2O2化学振荡系统的扰动作用, 观察并分析了BSA对该振荡体系的影响规律, 在此基础上提出了基于化学振荡系统的蛋白质定量检测方法.     

Chemical applications of group theory and topology

The following procedure is described for investigating the qualitative dynamics of simple chemical systems: 1) A so-called influence diagram is generated representing the relationships between the reference reactants (phase-determining intermediates); 2) This influence diagram is used to generate a truth table indicating possible transitions between state vectors representing the signs of the time derivatives of of the reference reactant concentrations; 3) The truth table is used to determine a state transition diagram representing the flow topology around unstable equilibrium points; 4) The characteristic equation of the adjacency matrix of the influence diagram is solved in order to determine the presence of such unstable equilibrium points. The two types of qualitative dynamics possible for chemical systems containing two reference reactants and one feedback circuit are bifurcation between two attracting regions (bistability) and limit cycle oscillation. However, in two reference reactant systems oscillation requires an additional self-activating loop to generate the unstable equilibrium point required for its realization. Bistability and limit cycle oscillation are also two of the possible types of qualitative dynamics for chemical systems containing three reference reactants. However, chemical systems with three reference reactants and two or more feedback circuits can also contain interlocking limit cycles, which can lead to toroidal oscillations or chaos. The influence diagrams are given for the systems exhibiting these various types of dynamic behavior along with a summary of the important properties of all 729 possible influences for simple chemical systems containing three reference reactants.     

Isochronicity and limit cycle oscillation in chemical systems

Chemical oscillation is an interesting nonlinear dynamical phenomenon which arises due to complex stability condition of the steady state of a reaction far away from equilibrium which is usually characterised by a periodic attractor or a limit cycle around an interior stationary point. In this context Lienard equation is specifically used in the study of nonlinear dynamical properties of an open system which can be utilized to obtain the condition of limit cycle. In conjunction with the property of limit cycle oscillation, here we have shown the condition for isochronicity for different chemical oscillators with the help of renormalisation group method with multiple time scale analysis from a Lienard system. When two variable open system of equations are transformed into a Lienard system of equation the condition for limit cycle and isochronicity can be stated in a unified way. For any such nonlinear oscillator we have shown the route of a dynamical transformation of a limit cycle oscillation to a periodic orbit of centre type depending on the parameters of the system.     

Degeneration of Limit Cycle Oscillation in BZ Electrode Reaction System Controlled Externally

A dynamical model of electrode BZ reaction system was establisheed on the basis of three variables Oregonator model and kinetics of electrode process. Under weak periodical constraint approximation, dynamical stability of quasi steady state on the slow manifold of the system is analyzed by means of linearized stability analysis of three variable system. Meanwhile, the corresponding regime favorable for the appearance of limit cycle oscillation is calculated. Computer simulation shows that limit cycle oscillatory regime has degenerated because of the external periodical potential constraint in the electrode phase. In this regime the system behaves as a temporary self-organization. Whereas, outside this regime a kind of response oscillation appear, with same period as the constraint.     

化学振荡反应及其在化学分析检测中的应用展望

近些年来化学振荡反应越来越被科学工作者重视并研究,分布的领域包括化学、生物、物理、数学、生命等科学方面。重点介绍了已发现的化学振荡体系和近些年化学工作者利用化学振荡反应研究出的成果,阐述了这一新型分析检测方法,展望了化学振荡反应的研究方向。     

Effects of delayed linear electrical perturbation of the Belousov-Zhabotinsky reaction: a case of complex mixed mode oscillations in a batch reactor

Delayed feedbacks are quite common in many physical and biological systems and in particular many physiological systems. Delay can cause a stable system to become unstable and vice versa. One of the well-studied non-biological chemical oscillators is the Belousov-Zhabotinskii (BZ) reaction. This gives relaxation oscillations for a considerable period of time under batch conditions. This paper deals with the effect of perturbing the limit cycle oscillation of BZ reaction by employing a delayed electrical feedback to the system under batch conditions. The parameters chosen to study are external resistance and delay. For various resistances and delays the system was electrically perturbed and found to exhibit various complex mixed mode oscillations. The dynamic features are accounted for by the Oregonator model, with time delay incorporated in one of the variables. This revised version was published online in June 2006 with corrections to the Cover Date.