周期性悬浮体有效粘滞率的第一性原理研究

在本文中我们导出一组积分方程,借此可以确定不可压缩牛顿流体中位于周期点阵上的任意形状粒子的有效粘滞率张量,而且解的有效性不再受低粒子浓度的限制,并建立了等价流体的最普遍的本构方程。利用简单近似,我们导出了立方对称悬浮体的有效粘滞率的简便公式,并在相当宽的粒子浓度区间给出合理的结果。我们用多项式近似精确地计算了柱列阵的有效粘滞率张量。     

径向磁场下电磁流体力学的柱对称定态严格通解

本文从最一般的电磁流体力学基本方程出发,导出了圆截面管道中不可压缩粘滞导电流体的走态流动问题的严格通解。可以证明,Globe和Arora找到的严格解,是本通解的两个特例,并讨论了三类典型的电磁流体力学定态流动问题,画出了不同参数下的流场和磁场分布曲线。     

计及轨道和自旋运动的量子溶液的正则方程

本文发展文[1,2]的工作,计及了3He-A相自旋运动和轨道运动的动力学性质.文中利用(2.8)(2.9)式的定义,使导出的超流正则方程具有更对称的形式.     

随机化交通灯的二维元胞自动机交通模型

元胞自动机交通模型以简单的规则反映交通系统中的多种因素，可以分析各种交通现象，且可在计算机上方便、高效地运作·Ｂｉｈａｍ－Ｍｉｄｄｌｅｔｏｎ－Ｌｅｖｉｎｅ模型（ＢＭＬ模型）实现了二维交通问题的元胞自动机模型的模拟研究·本文对ＢＭＬ模型作了改进，解除了该模型中关于交通灯同步变化的限制·在新模型中，每个路口的交通灯可以自由选定起始工作时间和变化节奏，于是可以更全面、准确地反映交通灯对交通系统性能的影响·本文还对新模型中出现的若干新效应作了解释·     

Low—Frequency Dielectric Dispersion of Highly Concentrated Spherical Particles in an Electrolyte Solution

We deal with the problem of calculating the effective dielectric dispersion and electrical conductivity of colloidal dispersions.A comparison of the theoretical calculation of first principles with the experimental data of Schwan shows that our technique proposed here is no longer restricted to dilute solutions and is very effective for studying the dielectric properties of colloids with highly concentrated charged shpherical particles in an electrolyte solution.     

Effective Anisotropic Dielectric Properties of Crystal Composites

Transformation fieM method （TFM） is developed to estimate the anisotropic dielectric properties of crystal composites having arbitrary shapes and dielectric properties of crystal inclusions, whose principal dielectric axis are different from those of anisotropic crystal matrix. The complicated boundary-value problem caused by inclusion shapes is circumvented by introducing a transformation electric field into the crystal composites regions, and the effective anisotropic dielectric responses are formulated in terms of the transformation field. Furthermore, the numerical results show that the effective anisotropie dielectric responses of crystal composites periodically vary as a function of the rotating angle between the principal dielectric axes of inclusion and matrix crystal materials. It is found that at larger inclusion volume fraction the inclusion shapes induce profound effect on the effective anisotropic dielectric responses.     

多孔和复合媒质直流电导率的计算方法(Ⅰ)——应用于周期性多孔媒质

我们发展了一种计算多孔和复合媒质直流电导率的第一性原理方法。本文具体讨论周期性多孔媒质直流电导率的理论计算。我们用幂级数展开法、Fourier级数展开高斯消去法和Fourier级数展开迭代法计算了许多二维多孔媒质的有效电导率,并采用改进的迭代法计算了Sierpinski地毯的直流电导率的临界指数。所有结果都与最新的实验结果符合相当好。 关键词：     

超流~3He、~4He溶液流体动力学方程——Ⅱ.超流~4He、~3He-A相溶液

在文[1]的基础上,我们继续用Lagrange不定乘子变分法推广Landau二流体超流理论到各向异性的超流氦溶液,得到关于超流4He、3He-A相的流体动力学方程。     

A THEORETICAL APPROACH TO THERMAL PROPERTY OF ARRAY OF CYLINDERS EMBEDDED IN HOMOGENEOUS MATRIX

We investigate in this article the thermal conductivity of array of cylinders embedded in a homogeneous matrix. Using Green's function, we confirm that the method invented by Rayleigh can be generalized to deal with thermal property of these systems. A technique for calculating effective thermal conductivities of these systems is proposed. As an example, we consider a system with square symmetry, and a neat formula for effective thermal conductivity is derived. We show that the method also includes the proof of Keller theorem.     

THE UNIVERSAL TRANSITION OF PLATEAU STRUCTURE OF LYAPUNOV EXPONENTS

The universal transition of Lyapunov exponents between conservative limit and dissipa-tire limit of nonlinear dynamical system is studied. It is discovered numerically and proved analytically that for homogeneous dissipative two-dimensional maps, along the equal dissi-pation line in parameter space, the Lyapunov exponents of attractor orbits possess a plateau structure and strict symmetry about its plateau value, The ratios between the plateau width and the stable window width of period 1-4 orbits for Henon map are calculated. The result shows that the plateau structure of Lyapunov exponents remains invariant for the attractor orbits belonging to a period doubling bifurcation sequence. This fact reveals a new universal transition behavior between order and chaos when the dissipation of the dynamical system is weakened to zero.