硫化物在铂电极上电氧化时空动力学的模型模拟和分析(英文)

根据铂电极上硫化物电催化氧化的反应机理,本文提取动力学模型并利用数值模拟研究了N型负微分阻抗(N-NDR)振荡区域的电极表面时空反应动力学.在均相体系模拟中观察到电流简单振荡和复杂振荡,其来源于双电层电势自催化与传质限制和毒化物种吸附负反馈的相互耦合.为了更接近于真实体系,在模型中考虑了平行和垂直于电极表面两个方向的传质过程.模拟结果发现了与实验现象具有相同演化行为的复杂斑图,如行波和闪烁波;同时在传质耦合体系模拟中观察到双电层电势双臂螺旋波.本研究工作促进对电化学体系时空斑图的理解和预测.     

嘈杂小世界网络中的随机共振现象

以双稳态振荡器耦合而成的具有小世界拓扑结构的网络为研究对象,重点研究了该体系在周期弱信号和乘性高斯白噪声的共同作用下,振荡器之间的耦合强度与网络拓扑结构的无序度对于网络动力学行为的影响．结果显示噪声可以诱导产生随机共振现象,在适中的耦合强度下增加体系拓扑的无序度可以使整个体系的随机共振现象得到加强．另外,研究表明体系中存在着一组最优的耦合强度和拓扑无序度,在它们的协同作用下体系能够最有效地检测到外界的弱信号．     

电化学斑图中空间耦合的时空动力学

斑图是在空间或时间上具有某种规律性的非均匀宏观结构,普遍存在于自然界,事实上大多数电化学体系在适当参数范围内也可以形成各种电化学斑图。本文介绍了电化学斑图中空间耦合的三种方式,重点总结了在不同机理作用下可能出现的斑图种类,并简述了电化学斑图模拟方面的发展。     

电化学时空斑图

时空斑图广泛存在于反应-输运非平衡态体系,近年来电化学体系中时空斑图的形成开始受到广泛关注.从行波到Turing稳态结构在电化学体系都有发现和研究,这大大促进了电化学动力学的理论发展.理论模型已由最初的反应-扩散模型逐渐演化和完善成为电化学反应-电迁移模型,促使实验与理论研究的进一步开展.随着时空识别电化学技术的应用,...     

用DVR方法研究Ar-HF和Ar-DF的振转光谱

本文用离散变量表示(DVR)方法研究了Ar-HF和Ar-DF体系的振转光谱。对这两个体系的已观测到的振转能级, 用DVR方法得到的计算值与实验结果十分吻合, 误差一般小于0.1cm^-^1, 最大偏差为0.24cm^-^1对Ar-HF的(1113)态。该研究结果与Hutson等用耦合孔道法得到的计算结果基本一致, 但对(3210)振动能级和对(3002)-(3110)态的能级分裂值, 本文计算结果更接近观测值。     

Belousov-Zhabotinsky化学体系中超混沌及其同步的研究

曾有报道在Belousov-Zhabotinsky (BZ)体系的实验研究中未实现超混沌。但 通过不同类型的变量耦合方式,我们在该体系的Montanatar模型中得到了超混沌发 现无论采用何种耦合方式,只要耦合强度足够小,均能得到超混沌。另外,对两个 所产生的超混沌BZ体系,在全变量耦合、双变量耦合及K-B空间标量耦合法的策略 下,均实现了同步调制,并且从横截Lyapunov指数判据理论给予验证。探索了个别 状态变量在耦合中对同步所起的作用。通过双变量耦合发现[Ce~(4+)]不起作用; 通过K-B空间标量耦合法发现只有[Br~-]和[HBrO_2]的线性组合能起作用,可能由 于它们出现在同一个基元反应中。     

He-N20偶极矩面及振转跃迁强度的理论研究

用超分子MP4方法和大基组(aug-cc-pVTZ)及键函数得到He-N2O体系的分子间从头算势能面及偶极矩面．用离散变量表象方法计算了^4He-N2O及^3He-N2O体系的振转能级，并进一步计算得到其振转跃迁强度，计算结果很好地解释了实验现象。     

硫化学反应体系中的振荡与斑图形成

硫化学非线性反应体系是非线性化学的一个重要部分,在均相和反应扩散介质中均表现复杂自组织现象,尤其该类体系在前沿波作用、迷宫波及倍增分裂波研究和近几年斑图系统设计的突破起着关键作用。根据参与的物种数量将硫化学反应体系分为简单的两组分和三组分反应体系两大类。本文重点介绍了近三十年来这两类硫化学振荡器和反应-扩散斑图的研究进展,简述了该类反应体系在生物及其软物质领域的应用。最后,对硫化学振荡体系研究中存在的问题进行了探讨,并对今后的研究方向进行了展望。     

基于顺磁稀土离子的磁性分子材料

构建含镧系稀土金属离子的分子基磁性材料是当前分子磁学研究的重要领域之一．本文按照单稀土离子,稀土离子-稀土离子（4f-4f）相互作用体系,稀土离子．过渡金属离子（4f-3d）相互作用体系,稀土离子．自由基（4f-p）相互作用体系的顺序,介绍了含镧系稀土金属离子的单离子磁体,基于稀土金属离子,过渡金属离子和自由基多核簇的单分子磁体、单链磁体和磁有序体系的磁学性质．根据磁性分子材料中自旋载体和磁耦合性质的不同,分别用实例介绍了磁耦合、磁有序和磁驰豫性质的特点和来源．首先,本文综述了孤立的单稀土离子配合物体系的结构和磁学性质．由于稀土金属离子的4f电子具有强的旋轨耦合作用和较大的磁各向异性,所以有些单稀土离子配合物如双酞菁铽、镝等体系具有慢的磁驰豫行为,其低温下的磁滞回线呈现台阶状,被称为单离子磁体．该类分子基磁性配合物慢磁驰豫性质的来源可以用镧系稀土离子的电子自旋磁矩、轨道磁矩、核自旋磁矩之间的相互作用解释．具有场诱导缓慢磁驰豫行为的单稀土离子配合物是另一类引起关注的磁性分子材料．该类配合物在零场下交流磁化率的虚部没有峰值,而在一定的外磁场下,其交流磁化率的虚部出现峰值并具有频率依赖性．这种现象可能可以归因为体系的Kramer简并基态在外场下消除了快的磁驰豫过程,使慢的磁驰豫过程,如Orbach过程成为主导．其次,本文综述了稀土离子的4f电子之间的磁耦合作用和磁学性质．一方面,对于具有4f^7电子构型的含Gd（III）离子配合物,f电子之间的磁耦合作用主要是各向同性磁交换作用．由于4f电子能量很低,同其他稀土离子f电子之间的耦合作用被外层轨道屏蔽,所以磁耦合常数很小,无法形成磁有序的结构;另一方面,对于有强旋轨耦合作用的非4f^7电子构型的稀土离子配合物,由于理论计算和拟合上的困难,其4f电子之间的磁耦合作用的机理研究还很少．值得关注的是,有报道发现Dy3簇合物具有单分子磁体的性质,并且基态几乎是非磁的,其磁性来源主要是丰富的低激发态能谱,也就是说,一般认为的单分子磁体必须具有大的自旋基态并不是发生缓慢磁驰豫行为的必要条件．再次,本文综述了稀土金属离子一过渡金属离子簇合物的磁学性质．由于4f-3d之间的磁耦合作用要远大于4f-4f电子之间的磁耦合作用,所以此类配合物磁学性质和磁构关系的研究相对较多,其磁学性质也相对丰富．由于Gd离子和Cu离子的旋轨耦合作用较小,理论计算和磁性数据的拟合相对简单,所以对于磁构关系和磁耦合性质的研究主要集中在Gd—Cu体系．对于存在强旋轨耦合作用的其他镧系稀土离子,可能出现磁有序,慢的磁驰豫等其他磁学现象．实验上也合成了一些基于4f-3d作用的单分子磁体和单链磁体．此外,本文还综述了稀土金属离子．自由基体系的磁学性质．对于自由基与稀土金属离子之间的耦合,由于不需要通过抗磁性的其他原子,所以可能产生比4f-4f,4f-3d体系更强的磁耦合作用．实验上,也的确发现了一些具有磁有序行为的4f-自由基分子磁性材料,但磁有序主要发生在低温区．最后,对稀土分子基磁性材料研究中需要解决的问题和未来发展前景进行了展望．     

Mg-Fe-HTIc／高岭土悬浮体流变性研究

研究了Mg—Fe类水滑石(HTIc)／高岭土(kaolinite)悬浮体的质量比（R)对其流变性和触变性的影响，发现控制剪切速率(D)得到的屈服应力(τy)和控制剪切应力(τ)得到的临界剪切应力(τc)皆随R拘增大先降低后升高．小幅振荡剪切实验发现随R的增大，体系由正触变性转化为复合触变性，其中用小幅振荡剪切法在线性粘弹区发现复合触变性体系还是首次．恒剪切速率(DL)实验发现了震荡现象，即粘度随时间发生周期性升高和降低的变化．震荡现象与DL和R有关，较高的DL和尺可使震荡现象消失．测定粘度随时间变化时采用的低剪切速率(DL)影响体系的触变性类型．根据HTIc和kaolinite粒子间的相互作用对实验结果的机理进行了探讨．     

Turing pattern formation in coupled reaction-diffusion system with distributed delays

Turing pattern formation in coupled two-layer system with distributed delayed is investigated. Numerical simulations prove that, when the coupling is weak, it can apparently accelerate the formation process and enhance the spatial amplitude of the pattern. When it is strong, it will prolong the formation process or even inhibit the pattern and turn the whole system into bulk oscillatory state by its influence on the transient oscillatory state. If the coupling covers only part of the system, Turing pattern can be prominently oriented according to the shape of the coupling area at tiny coupling strength. However, if the coupling is too strong, the Turing pattern may also be destroyed. This means that in coupled systems, the delay effect in the cross-layer signal transfer may significantly influence the spatial character and/or the evolution dynamics in Turing pattern formation, even to destroy the pattern. This work is of practical significance in the study of Turing pattern in biosystems, where bilayer membranes or multilayer tissues are often found.     

外噪声作用下可激发系统中的预测同步现象

采用数值模拟方法研究了由2个完全相同的可激发系统,通过单向延迟反馈耦合连接所组成主动-从动系统中的预测同步现象.结果表明在相等的外噪声作用下,当延迟时间和耦合强度在适当的范围内取值时,从动系统发生放电活动时所产生的动作电位能够预测主动系统发生放电活动时所产生的动作电位,即出现了预测同步现象,并且预测时间不可能大于主动神经元的响应时间.     

Spatially Distributed Current Oscillations with Electrochemical Reactions in Microfluidic Flow Cells

The formation of spatiotemporal patterns is investigated by using a chemical reaction on the surface of a high‐aspect‐ratio metal electrode positioned in a flow channel. A partial differential equation model is formulated for nickel dissolution in sulfuric acid in a microfluidic flow channel. The model simulations predict oscillatory patterns that are spatially distributed on the electrode surface; the downstream portion of the metal surface exhibits large‐amplitude, nonlinear oscillations of dissolution rates, whereas the upstream portion displays small‐amplitude, harmonic oscillations with a phase delay. The features of the dynamical response can be interpreted by the dependence of local dynamics on the widely varying surface conditions and the presence of strong coupling. The patterns can be observed for both contiguous and segmented metal surfaces. The existence of spatially distributed current oscillations is confirmed in experiments with Ni electrodissolution in a microfluidic device. The results show the impact of a widely heterogeneous environment on the types of patterns of chemical reaction rates.     

Photothermally and optomechanically induced transparency in a hybrid optomechanical system

We theoretically investigated the photothermally and optomechanically induced transparency (PTIT and OMIT) in an optomechanical system filled with quantum dots (QDs). In our proposed system, the right mechanical resonator couples with the optical cavity via radiation pressure, and the left mechanical resonator couples with the optical cavity through the photothermal effects. The system is driven by a strong pump field and a weak probe field. It is shown that double transparency windows can be observed due to PTIT and OMIT. When considering the Jaynes-Cummings coupling between the QDs and the optical cavity, three transparency windows are observed. We also show that the PTIT can be adjusted by the OMIT and the QDs in the optical cavity. What is more, the coupling strength and the frequency detuning can be used effectively to change the system absorption and dispersion in the PITT transparency window. This indicates that the group delay of the probe light can also be manipulated by the system parameters. The obtained results may be applied in the optical communication such as optical buffer, and so forth.     

Quantitative 2D HSQC NMR determination of polymer structures by selecting suitable internal standard references

A new analytical method based on the 2D HSQC NMR sequence is presented, which can be applied for quantitative structural determination of complicated polymers. The influence of T1 and T2 relaxations, off-resonance effects, coupling constants and homonuclear couplings are discussed. It was found that the T2 values measured on polymeric samples with the conventional HSQC-CPMG sequence could not be used to correct the errors caused by T2 relaxations during the polarization transfer delay. A unique way of selecting the proper internal standard reference signal(s) is therefore proposed to eliminate the major errors caused by T2 relaxations, resonance offsets, coupling constant deviations and homonuclear couplings. Two polymer samples, a cellulose triacetate and an acetylated lignin, have been used to illustrate the principles. The methodology developed in this work is robust to instrument miss-setting and it can find wide-spread applications in areas where a quantitative analysis of structurally complicated polymers is necessary.     

化学自催化混沌反应模型中的耦合作用与混沌同步

选用混沌自催化反应作为子系统,构造了耦合自催化反应系统,研究了耦合变量、耦合系数对混沌动力学行为的影响,给出了不同耦合系数下系统的动力学特征,探讨了耦合作用机制.结果表明,耦合作用能明显地改变子系统的动力学行为,强化系统间的相关性.耦合后的混沌运动受到调整与抑制,耦合强度加大时,呈现出混沌运动轨线的周期化,耦合系数大于临界值,两子系统实现了完全的同步.不同变量的耦合时,影响最大的是第二种变量.对于三种物质均有耦合时,更容易出现混沌的抑制、运动状态的锁相与周期化和混沌的完全同步.     

Pulse-coupled chemical oscillators with time delay

Finger on the pulse: in a system of two pulse-coupled Belousov-Zhabotinsky oscillators, introducing a time delay or increasing the coupling strength brings about novel dynamic features (see picture, the two oscillators are shown in different colors), such as reversal of the roles of excitatory and inhibitory coupling or fast anti-phase oscillation. These features are not observed in diffusively coupled systems, and shed light on how such pulse coupling occurs at synapses.     

The delay time dependence of the photoelectron spectra and state populations of three-level ladder K2 molecule

The delay time dependence of photoelectron spectra and state populations of three-level ladder K₂ molecule is investigated by pump-probe pulses via time-dependent wave packet approach. The periodical motion of the wave packet with oscillating period 500 fs results in the periodical variation of photoelectron spectra. The photoelectron spectra show Autler-Townes double splitting at zero delay time, and no splitting at positive delay time. The periodical change of state populations with delay time can be ascribed to the coupling effect between the two pulses. It is found that the selectivity of the state populations may be attained by regulating the delay time. The results can provide some important basis for realizing the optical control of molecules experimentally.

     

Molecular weight relations for crosslinking of chains with length and site distribution

Many polymer networks are formed by crosslinked polymer chains through reactive sites distributed along the chains. How these sites are distributed as well as the chain length distribution can have a significant effect on properties like the gel conversion and molecular weight. Previous treatments have used simplifying approximations. In this paper we eliminate these approximations and derive computational formulae for weight average molecular weight and gel point for polymer chains of any length and reactive site distribution. Three types of crosslinking are considered: direct coupling of chains (homopolymerization), direct coupling through propagation, and coupling through copolymerization with small monomers.     

Mechanism Equivalence in Enzyme–Substrate Reactions: Distributed Differential Delay in Enzyme Kinetics

We consider single enzyme–substrate reaction mechanisms involving multiple complexes and demonstrate that these are equivalent to a distributed delay system without complexes. The distribution of the delay is determined by the number of intermediates and the relative sizes of the rates of the individual reaction mechanisms. We also consider the limit where there are a large number of intermediate complexes, and the conditions under which a number of known reaction mechanisms are equivalent. The present formalism brings forth new perspectives in the implementation of experimental techniques to rule out particular reaction mechanisms by studying the distribution of the delay between reactant mixing and product formation.