铁-邻菲咯啉配合物的循环伏安-光谱电化学研究

以循环伏安及循环伏安-光谱电化学方法研究了铁-邻菲咯啉配合物的电化学行为,Fe2 与邻菲咯啉生成1∶3配合物,给出一对受扩散控制的可逆氧化还原峰。自由Fe2 在-0.24V电位处,给出了一表面控制的不可逆还原峰。由氧化过程中的光谱电化学数据获得式电位为E0=0.875V(vs.Ag/AgCl)和电子转移数为n=1.0。由还原过程的循环伏安-光谱电化学数据发现,[Fe(phen)3]3 的电化学还原过程为产物弱吸附的自加速过程,获得裸电极上的标准速率常数为k0=1.14×10-3cm/s,电子转移系数为α=0.189。Langmuir吸附常数β=0.059(±0.007),吸附表面上的电子转移系数为αa=0.313,反应速率常数为k0a=1.24(±0.17)×10-3(cm/s),式电位为:0.11±0.01V(SD=0.184)。     

Nonlinear mean field Fokker-Planck equations. Application to the chemotaxis of biological populations

We study a general class of nonlinear mean field Fokker-Planck equations in relation with an effective generalized thermodynamical (E.G.T.) formalism. We show that these equations describe several physical systems such as: chemotaxis of bacterial populations, Bose-Einstein condensation in the canonical ensemble, porous media, generalized Cahn-Hilliard equations, Kuramoto model, BMF model, Burgers equation, Smoluchowski-Poisson system for self-gravitating Brownian particles, Debye-Hückel theory of electrolytes, two-dimensional turbulence... In particular, we show that nonlinear mean field Fokker-Planck equations can provide generalized Keller-Segel models for the chemotaxis of biological populations. As an example, we introduce a new model of chemotaxis incorporating both effects of anomalous diffusion and exclusion principle (volume filling). Therefore, the notion of generalized thermodynamics can have applications for concrete physical systems. We also consider nonlinear mean field Fokker-Planck equations in phase space and show the passage from the generalized Kramers equation to the generalized Smoluchowski equation in a strong friction limit. Our formalism is simple and illustrated by several explicit examples corresponding to Boltzmann, Tsallis, Fermi-Dirac and Bose-Einstein entropies among others.     

Network evolution by nonlinear preferential rewiring of edges

The mathematical framework for small-world networks proposed in a seminal paper by Watts and Strogatz sparked a widespread interest in modeling complex networks in the past decade. However, most of research contributing to static models is in contrast to real-world dynamic networks, such as social and biological networks, which are characterized by rearrangements of connections among agents. In this paper, we study dynamic networks evolved by nonlinear preferential rewiring of edges. The total numbers of vertices and edges of the network are conserved, but edges are continuously rewired according to the nonlinear preference. Assuming power-law kernels with exponents α and β, the network structures in stationary states display a distinct behavior, depending only on β. For β>1, the network is highly heterogeneous with the emergence of starlike structures. For β<1, the network is widely homogeneous with a typical connectivity. At β=1, the network is scale free with an exponential cutoff.     

Analyzing complex networks evolution through Information Theory quantifiers

A methodology to analyze dynamical changes in complex networks based on Information Theory quantifiers is proposed. The square root of the Jensen-Shannon divergence, a measure of dissimilarity between two probability distributions, and the MPR Statistical Complexity are used to quantify states in the network evolution process. Three cases are analyzed, the Watts-Strogatz model, a gene network during the progression of Alzheimer's disease and a climate network for the Tropical Pacific region to study the El Niño/Southern Oscillation (ENSO) dynamic. We find that the proposed quantifiers are able not only to capture changes in the dynamics of the processes but also to quantify and compare states in their evolution.     

Risk estimation of infectious diseases determines the effectiveness of the control strategy

Usually, whether to take vaccination or not is a voluntary decision, which is determined by many factors, from societal factors (such as religious belief and human rights) to individual preferences (including psychology and altruism). Facing the outbreaks of infectious diseases, different people often have different estimations on the risk of infectious diseases. So, some persons are willing to vaccinate, but other persons are willing to take risks. In this paper, we establish two different risk assessment systems using the technique of dynamic programming, and then compare the effects of the two different systems on the prevention of diseases on complex networks. One is that the perceived probability of being infected for each individual is the same (uniform case). The other is that the perceived probability of being infected is positively correlated to individual degrees (preferential case). We show that these two risk assessment systems can yield completely different results, such as, the effectiveness of controlling diseases, the time evolution of the number of infections, and so on.     

牛磺酸2吡-啶甲醛Schiff碱镧配合物的合成及表征

采用直接合成法用牛磺酸和2-吡啶甲醛合成牛磺酸Schiff碱,并以此为配体合成La（Ⅲ）的配合物,同时对Schiff碱及金属配合物进行元素分析,红外光谱,紫外光谱,差热-热重分析及摩尔电导的测定等表征,从而推测配合物的组成为[L aL2（H2O）2]NO3.H2O,HL=C8H10N2O3S。     

The topology of interbank payment flows

We explore the network topology of the interbank payments transferred between commercial banks over the Fedwire^®${}^{\circledR }$ Funds Service. We find that the network has both a low average path length and low connectivity. The network includes a tightly connected core of banks to which most other banks connect. The degree distribution is scale free over a substantial range. We find that the properties of the network changed considerably in the immediate aftermath of the events of September 11, 2001.     

The elimination of fast variables in complex chemical reactions. III. Mesoscopic level (irreducible case)

The master equation for a complex chemical reaction cannot always be reduced to a simpler master equation, even if there are fast and slow individual reaction steps. Nevertheless the elimination of intermediates can be carried out with the help of the-expansion. This is illustrated with a well-known complex reaction: the dissociation of N₂O₅. It is shown that the intrinsic fluctuations in the N₂O₅ decay are larger than those implied by the master equation suggested by the macroscopic rate law.     

噻吩甲酰基吡唑啉酮缩β-丙氨酸配合物的合成、表征及极谱行为

在非水溶剂中 ,β 丙氨酸与 1 苯基 3 甲基 4 (2 噻吩甲酰基 )吡唑啉酮 5反应合成新型酰基吡唑啉酮席夫碱化合物 1 苯基 3 甲基 4 (2 噻吩甲酰基 )吡唑啉酮 5缩 β 丙氨酸 (HL) .通过回流席夫碱和金属硝酸盐合成了UO2 (Ⅱ )、Cu(Ⅱ )、Co(Ⅱ )和Fe(Ⅱ )金属配合物 .在乙酸 乙酸钠 (pH =4 .6 )缓冲溶液 饱和甘汞电极体系中 ,测量电位 - 1.2 4V处 ,测得铜配合物的极谱波 .元素分析及摩尔电导值表明 ,新配合物的组成为 [UO2 L2 ]·H2 O ,[CuL2 ]·2H2 O ,[CoL2 ]·2H2 O和 [FeL2 ]·2H2 O .运用红外光谱、紫外光谱、核磁共振谱、热谱和磁矩对配合物进行了表征 .结果表明 ,配合物的中心离子 (除UO2 2 + 以外 )均为 6配位 .铜配合物的Cu2 + 还原产生峰电流 ,其电极反应转移 1个电子 .