二分量胶体悬浮系统的短时间动力学

研究了二分量带电粒子悬浮系统的短时间平动和转动自扩散系数.由于存在静电相互作用和流体力学作用,扩散系数与两种粒子的尺寸比,它们的体积分数,以及所带的有效电荷都有关.计入了流体力学相互作用对扩散张量的二体贡献和首项三体贡献.计算结果表明,流体力学作用对于带电粒子系统的影响要小于它对硬球粒子系统的影响.扩散系数随两种粒子的尺寸比和它们的体积分数变化的关系可以用有效硬球模型来解释,而其定性结果与实验相符合.     

二分量胶体悬浮系统的短时间动力学

研究了二分量带电粒子悬浮系统的短时间平动和转动自扩散系数.由于存在静电相互作用和流体力学作用,扩散系数与两种粒子的尺寸比,它们的体积分数,以及所带的有效电荷都有关.计入了流体力学相互作用对扩散张量的二体贡献和首项三体贡献.计算结果表明,流体力学作用对于带电粒子系统的影响要小于它对硬球粒子系统的影响.扩散系数随两种粒子的尺寸比和它们的体积分数变化的关系可以用有效硬球模型来解释,而其定性结果与实验相符合.     

多分量胶体悬浮系统转动扩散张量的反射理论

研究多分量胶体悬浮系统的反射理论,给出用反射理论推导转动扩散张量的方法.计算了流体力学相互作用对转动扩散张量的二体贡献和首项三体贡献. 关键词： 反射理论 扩散 胶体悬浮系统 流体力学作用     

带电粒子形成胶体晶体的有效硬球模型判据的计算机模拟验证

在对胶体晶体的研究中,带电粒子胶体晶体的形成机理比硬球胶体晶体更加复杂,对其形成条件目前还缺少有效的判断依据. 有效硬球模型判据提出以有效直径作为判断参数. 为了验证该判据的有效性,利用布朗动力学模拟研究了不同有效直径下带电粒子胶体晶体的特性. 为了更加定量地研究单因素对带电胶体晶体形成的影响,取有效直径为2.8至0.8,并对一定的有效直径,研究了粒子几何直径和排斥力不同情况下的结晶行为. 在布朗动力学模拟过程中,采用径向分布函数和键序参数方法检测体系的结构变化,并分析所形成的晶体结构. 结果表明,在判断带电粒子胶体体系能否形成有序结构方面,有效硬球模型判据有一定的合理性. 但是,并不能将有效直径作为唯一的判别参数,而是需要综合其他参数的影响,这显示出该判据的片面性. 关键词： 布朗动力学模拟 带电胶体晶体 有效硬球模型     

应用链式硬球模型计算流体的自扩散系数

将链式硬球模型流体方程用于计算实际高密度流体的自扩散系数,并与流体的试验数据或模拟数据相比较。使用该方程计算碳链长度在150以下压力在200MPa以下;平均温度在100K以上时,非极性自扩散系数的平均绝对偏差多为5％左右。     

少体硬球系统的动力学与统计研究

研究了少数几个封闭于箱子中的硬球组成的系统的动力学与统计行为.着重研究单粒子位形 空间的碰撞分布.计算表明，硬球的半径较小时，单粒子统计分布函数在空间主要是均匀分 布；随着半径的增大，均匀分布部分逐渐减小.当硬球半径与箱子尺寸比值超过临界值时， 单粒子分布函数呈现双峰形式.还利用少体硬球系统模拟布朗运动.研究表明，当硬球系统作 为介质时，系统不存在扩散过程；发现大粒子的平均平方位移与时间是平方关系，说明大粒 子在硬球介质中的输运是弹道输运过程. 关键词： 硬球 动力学 布朗运动 遍历     

剪应力作用下流体力学关联对胶体聚团的影响

用计算机模拟的方法，探讨了剪应力下流体力学关联对胶体聚团特性的影响，并与无流体力学关联时的结果作了比较，研究表明，流体力学关联因素对胶体簇团的分形维数和栩位数没有明显的影响，但却使聚团的机理发生改变，从无流体力学关联时的颗粒－颗粒型向簇团－簇团型过渡。这个结果都很好地解释了有关的实验现象。     

非均匀介质球颗粒的等效介电常量

从求解拉普拉斯方程的边值问题出发,讨论了非均匀介质球颗粒的等效介电常量,给出了多种介质组成的多壳层介质球颗粒的等效介电常量的一般递推公式,推导了壳层的介电常量随半径连续变化的梯度介质球的等效介电常量的微分方程．并以壳层的介电常量为幂函数为例,得到了梯度壳层介质球的等效介电常量．     

基于等效传递函数的多变量大滞后系统的内模控制方法研究

针对多变量大滞后系统存在的强耦合、控制困难等问题,文章提出了一种基于等效传递函数的内模控制新方法;该方法首先给出了具有内模结构的等效传递函数的计算方法,得到系统的等效传递函数;然后采用麦克劳林降阶法对得到的高阶传递函数进行降阶,进而根据降阶后的模型设计内模控制器,有效避免了超前项的出现,降低了控制器设计的复杂性;同时,为了消除稳态误差,在内模控制器上添加了一个由系统稳态响应获取的稳态增益;仿真结果表明,该方法能能够消除系统的稳态误差,实现系统的设定值跟踪;本方法具有设计简单、控制性能好等特点。     

关于硬球流体的Carnahan-Starling状态方程的改进

使用Weierstrass和Chebyshev定理, 并参考标度粒子理论和Percus-Yevick积分方程理论的状态方程,证明硬球流体存在一个多项式序列,致使其状态方程由该序列的极限给出. 获得了从三阶到八阶的最佳多项式,这样Carnahan-Starling方程可以逐级改进. 得到的状态方程和在稳定和亚稳定流体分支上的模拟结果符合得很好.     

Diffusion of colloidal particles in swimming suspensions

Previously, we have proposed to analyse the hydrodynamic interactions in a suspension of swimmers with respect to an effective hydrodynamic diffusion coefficient, which only considers the fluctuating motion caused by the stirring of the fluid. In this work, we study the diffusion of colloidal particles immersed in a bath of swimmers. To accurately resolve the many-body hydrodynamic interactions responsible for this diffusion, we use a direct numerical simulation scheme based on the smooth profile method. We consider a squirmer model for the self-propelled swimmers, as it accurately reproduces the flow field generated by real microorganisms, such as bacteria or spermatozoa. We show that the diffusion coefficients of the colloids are comparable with the effective diffusion coefficients of the swimmers, provided that the concentration of swimmers is high enough. At low concentrations, the difference in the way colloids and swimmers react to the flow leads to a reduction in the diffusion coefficient of the colloids. This is clearly seen in the appearance of a negative-correlation region for the velocity-correlation function of the colloids, which does not exist for the swimmers.     

Note on transport processes in dense colloidal suspensions

A new approach to transport processes in dense charged as well as neutral colloidal suspensions is presented. It is based on a far-reaching analogy between dense colloidal suspensions and dense hard-sphere fluids, implying, in turn, an analogy with atomic liquids. As a result, new expressions valid for a number of colloidal transport coefficients are predicted.     

二元体系胶体晶体性质的实验研究

利用Kossel衍射技术和反射光谱对由总体积分数为0.02的二元聚苯乙烯胶体体系(94nm+141nm)形成的胶体晶体的性质进行了研究,实验结果显示胶体晶体的形成时间,平均粒子间距,晶体结构都与二元胶体体系中两种粒子的数密度比相关,当94nm聚苯乙烯粒子相对于141nm聚苯乙烯粒子的数密度比趋向1∶1时,胶体晶体的形成时间延长,当94nm聚苯乙烯粒子相对于141nm聚苯乙烯粒子的数密度比由1∶0向0∶1变化时,胶体晶体的平均粒子间距变大,另外实验中发现在两种粒子的数密度比为5∶1时,胶体晶体出现了超晶格结 关键词： 胶体晶体 聚苯乙烯 Kossel衍射 反射光谱     

Investigation an Effective Interaction Potential of Dust Particles in Nonideal Dusty Plasma

Interaction between dusty particles remains to be an interesting issue that still requires deeper theoretical and experimental investigations. In the present paper we formulate a theoretical approach to the calculation of effective interaction potential of dust particles on the basis of Poisson equation and experimentally measured pair correlation functions. By application of our model to the data from the liquid phase of dust formations in stratified dc glow discharge, it is shown that there is an attractive component in the interaction of dust particle (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Quasi-2D Monte Carlo simulations of a colloidal dispersion composed of magnetic plate-like particles with magnetic moment normal to the particle axis

We have investigated aggregation phenomena of a colloidal dispersion composed of magnetic plate-like particles by means of Monte Carlo simulations. Such plate-like particles have been modelled as disk-like particles with magnetic moment normal to the particle axis at the particle centre, with the section shape of a spherocylinder. The main objective of the present study is to clarify the influences of the magnetic field strength and magnetic interactions between particles on particle aggregation phenomena. We have concentrated our attention on a quasi-2D system from an application point of view such as the development of surface quality changing technology using such magnetic plate-like particles. A magnetic field is applied along the direction perpendicular to the plane of the monolayer. Internal structures of particle aggregates are discussed quantitatively in terms of radial distribution and orientational pair correlation functions. For the case of strong magnetic interactions between particles, particles form long column-like clusters with their magnetic moments alternating in direction between the neighbouring particles. These tendencies appear under circumstances of a weak applied magnetic field. However, as the magnetic field strength increases, particles incline towards the magnetic field direction, so that particles do not form such clusters.     

Solution of the BGK model kinetic equation for very hard particle interaction

We study the Bhatnagar-Gross-Krook model kinetic equation with a velocity-dependent collision frequency. We derive the conditions that must be verified in order to keep the main physical properties of the Boltzmann equation, i.e.,H-theorem and conservation laws. The particular case of the so-called VHP interaction is considered, and the resulting kinetic equation is solved for a homogeneous and isotropic gas. Overpopulation phenomena are observed and analyzed for some kinds of initial conditions. The results are compared, where possible, with the exact solution of the Boltzmann equation.     

Quasi-2D Monte Carlo simulations of phase transitions and internal aggregate structures in a highly dense suspension composed of magnetic plate-like particles

The phase transitions and the internal aggregate structures of a highly dense suspension composed of magnetic plate-like particles with a magnetic moment normal to the particle axis have been investigated by means of the Monte Carlo method. The present study considered a quasi-2D system in order to clarify the influences of the volumetric fraction of particles and the magnetic field strength on particle aggregations and phase transitions. The internal structures of particle aggregates have been discussed quantitatively in terms of pair correlation functions, orientational pair correlation functions, nematic and polar order parameters. The main results obtained here are summarized as follows. When the influence of the magnetic interaction between particles is of the same order of that of the perpendicular magnetic field strength, the particles form column-like clusters, and the internal structure of the suspension shows solid-like structures. For the case of a strong applied magnetic field, the internal structure is transformed from solid-like structures into isotropic ones. However, as the volumetric fraction increases, the particles form brick wall-like structures under the situation of a strong applied magnetic field, and the internal structure exhibits solid-like ones. The brick wall-like structures also appear for a relatively weak magnetic field applied along the in-plane direction despite a slightly smaller volumetric fraction compared with the case of the perpendicular applied magnetic field.