Surface properties of finite classical Coulomb systems: Debye-Hückel approximation and computer simulations

We report analytical and numerical studies of surface correlations in finite, homogeneously polarizable, classical Coulomb systems placed in an insulating or conducting environment. Their purpose is to understand the phenomenological, shape-dependent laws of electrostatics, from the point of view of statistical mechanics; we focus on the knowledge of the dielectric susceptibility of the system, a quantity proportional to the equilibrium fluctuation of the system's instantaneous polarization per unit volume. This goal has been achieved for a system in a conducting state. The picture is that the shape-dependent part of the susceptibilities results from the action of unbounded observables (the second moments of the instantaneous polarization of the system) on long-range surface correlations and that the relations of electrostatics are verified by means of shape-dependent thermodynamic limits. This picture is supported (i) by exact solutions and asymptotic analysis of the Debye-Hückel approximation of multicomponent plasmas in disks and spheres with insulating and conducting environment and also in ellipses in a vacuum, and (ii) by computer simulations of a one-component plasma in a disk with different environments, notably a conducting environment with permeable and impermeable wall. These observations have revealed for the first time the reason why the susceptibility of a conducting disk in a conductor with impermeable walls diverges linearly with the radius of the disk: this is due to the occurrence of long-range radial correlations in the conductor. These findings are quantitatively interpreted in terms of a novel canonical Debye-Huckel approximation as contrasted to the ordinary grand canonical version. Lastly a fresh look at the problem of the surface correlations of a conductor in a vacuum, which places the observer close to the surface of the conductor but in the vacuum, is presented and applied to the disk, the ellipse, the cylinder, the sphere, and the wedge.     

卤代化合物的碳—13化学位移模拟

用人工神经网络和多元回归方法对含２个碳的２１个卤代化合物的３５个化学位移进行计算机图像模拟，结果表明，人工神经网络方法优于多元回归方法，同时此种方法处理这类问题有明显的优势，波谱模拟技术在有机化合物结构解析中是非常有用的方法。     

Ar—Kr溶液扩散系数的分子动力学模拟及其与温度的关系

用分子动力学模拟方法研究确定Ａｒ－Ｋｒ溶液的自扩散系数Ｄ１、Ｄ２和互扩散系数Ｄ１２以及它们随温度变化的规律。结果表明，分别用Ｇｒｅｅｎ－Ｋｕｂｏ法和Ｅｉｎｓｔｅｉｎ法得到的扩散系数在数值上一致；该溶液的３种扩散系数均满足Ｄ＝Ｄ０ｅ＾Ｅ／ＲＴ关系。     

统计模拟分光光度法测定复方消咳新片组分含量

用统计模拟分光光度法测定复方消咳新片４个组分含量。按均匀设计表制备合成样品，绘制溶液的ＵＶ－ＶＩＳ吸收曲线，获得有限但足够的实验数据，用逐步回归法构造反映该复方制剂组分在灵敏波长的吸光度－组分含量经验关系的“最优”数学模型，用改进单纯形法寻优，求出未知样品的各组分含量。磺胺甲基异恶唑、甲氧苄胺嘧啶、盐酸溴已新、枸橼酸维静宁的回收率分别为１００３％、１００４％、９９９％、９９０％，标准差分别为０９１％、１４％、１２％、３９％。     

大分子固液界面吸附行为的数字模拟研究方法

介绍了随机数字模拟方法在研究链状大分子吸附行为的一般原理,以立方格子模型的自避行走为例,分析了模型的建立、初始位形的产生以及分子链运动的处理方法.回顾了随机数字模拟方法在研究大分子界面吸附行为方面的发展状况.预测了随机数字模拟方法在大分子吸附行为研究方面的应用前景.     

射流携带床反应器液体停留时间分布及模拟

对射流携带床液体停留时间分布进行了研究，考察了液体流量、气体流量和气体动量对液体停留时间分布的影响。结果表明，增加液体流量使停留时间分布密度曲线变得高而窄，且平均停留时间变短；气体流量增大使得停留时间出峰略有提前，气体流量大于4L/min时，继续增大气体流量对液体停留时间分布影响较小；当液体流量小于60L/h时，气体动量对液体停留时间的影响较明显，主要表现气体动量越大液体平均停留时间越长。基于实验结果分析及实验中观测的现象，将射流携带床内液体流动结构分为中心区和壁面区进行研究，建立了描述射流携带床内液体停留时间分布的数学模型，模型模拟结果和实验数据吻合良好。     

Local elevation: A method for improving the searching properties of molecular dynamics simulation

Summary The concept of memory has been introduced into a molecular dynamics algorithm. This was done so as to persuade a molecular system to visit new areas of conformational space rather than be confined to a small number of low-energy regions. The method is demonstrated on a simple model system and the 11-residue cyclic peptide cyclosporin A. For comparison, calculations were also performed using simulated temperature annealing and a potential energy annealing scheme. Although the method can only be applied to systems with a small number of degrees of freedom, it offers the chance to generate a multitude of different low-energy structures, where other methods only give a single one or few. This is clearly important in problems such as drug design, where one is interested in the conformational spread of a system.     

一种模拟沸石分子筛扩散反应的Monte Carlo方法

在考虑了沸石分子筛中吸附、脱附、扩散和反应的特点的基础上，发展了一种模拟沸石分子筛中扩菜反应的ＭｏｎｔｅＣａｒｌｏ方法。用Ｌａｎｇｍｕｉｒ吸附等温式验证了该方法的合理性，并证明了轰击频率λ代表了反应物气相压力，而吸附、脱附几率之比即为吸附平衡常数。同时，通过改变轰击频率λ和反应几率Ｐｔ，得到了吸附等温线和有效因子随Ｔｈｉｅｌｅ模数变化的曲线。     

中性载体阳离子电极膜电化学的计算机数字模拟

对中性载体阳离子电极膜3种可能的传输模式进行了数字模拟,研究了淌度、浓度、配合物稳定常数以及阴离子亲脂性对电极电位响应的影响。模拟结果对于廓清这类电极响应机理,解释有关实验现象及指导新电极设计提供了有用的信息。     

液固流化床内床层动态特性的CFD模拟

在对液固流化床内流动特性进行理论分析的基础上，采用多相流CFD方法模拟了二维矩形流化床内水和玻璃球体系的流体动力学特性。实验结果表明，流体速度突变后，液固流化床从一个平衡状态向另一个平衡状态过渡。当液体速度减小时，床层表面及分隔界面的变化与理论模型预测一致；由于重力不稳定性的影响，当液体速度增大时，床层表面稳定上升但与时间不呈线性关系，且分隔界面难以分辨。进而膨胀后停留时间的长短对收缩过程的影响也可以忽略。尽管床层收缩时间明显小于实际膨胀时间，但是与预报的理想膨胀时间比较接近。模拟结果与前人的实验研究和理论分析相吻合，表明多相流CFD模拟可以很好地预测液固流化床的床层动态行为。