Diffusion from sessile droplets through membranes

We analyze diffusion from a periodic array of hemispherical droplets through a membrane. We find that the multiple sources do not interact strongly, even when the droplets are closely spaced, so that the flux through the membrane appears nearly additive.     

高聚物与光场相互作用的微观机制

分析光场与高聚物相互作用的微观机制，介绍高分子与小分子在光场作用下的极化过程。对在窄束光场作用下，高分子链极化后链上各处极化程度的分布情况进行研究，指出对于高度拉伸的聚合物薄膜，电偶极子模型不适合准确解释高分子与光场相互作用的微观机制。为此，采用符合实际的天线模型分析高分子天线与窄束光场的相互作用，从理论上推导出天线模型高分子链上一小段的极化公式，并用离散变分方法——DVM（discrete variational method）计算一个高分子链的极化分布，验证了文中推导出的分式的合理性。最后，将极化分布看作是电流在天线上的分布，计算了天线的次级辐射在空间中的角分布，得到天线模型对电偶极子模型的修正因子。     

Some remarks to multivariate regression model

Some remarks to problems of point and interval estimation, testing and problems of outliers are presented in the case of multivariate regression model. This work was supported by the Council of Czech Government J14/98:153100011.     

仓库容量有限条件下的随机存贮管理问题的评注

给出2005年全国部分高校研究生数学建模竞赛D题的研究背景,对参赛论文作了简要评注,并提供了一种参考解答.     

Convergent Flows of Molten Polymers Modeled by Generalized Second-Grade Fluids of Power-Law Type

The molding processes of polymer melts involve geometrically complex dies. Such dies are usually tapered or streamlined to achieve a maximum output rate under conditions of laminar flow. The model of a generalized second-grade fluid of power-law type is used and the results obtained are illustrated by examples of convergent flows in conical and wedge-shaped dies.     

A primer on perfect simulation for spatial point processes

This primer provides a self-contained exposition of the case where spatial birth-and-death processes are used for perfect simulation of locally stable point processes. Particularly, a simple dominating coupling from the past (CFTP) algorithm and the CFTP algorithms introduced in [13], [14], and [5] are studied. Some empirical results for the algorithms are discussed. Received: 30 June 2002     

Large set of P3‐decompositions

Let G=(V(G),E(G)) be a graph. A (n,G, λ)‐GD is a partition of the edges of λK_n into subgraphs (G‐blocks), each of which is isomorphic to G. The (n,G,λ)‐GD is named as graph design for G or G‐decomposition. The large set of (n,G,λ)‐GD is denoted by (n,G,λ)‐LGD. In this work, we obtain the existence spectrum of (n,P₃,λ)‐LGD. © 2002 Wiley Periodicals, Inc. J Combin Designs 10: 151–159, 2002; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/jcd.10008     

具有模糊数的模糊多目标群体决策优选模型与方法

多目标群体决策问题是运筹学的一个重要研究领域，目前已经提出了一些有效的决策方法。但对目标值和权重均为模糊数的模糊多目标群体决策问题却研究不多，本对此类模糊多目标群体决策问题进行了探讨，利用相对正理想方案与相对负理想方案概念定义了相对差异距离，进而建立了模糊多目标群体决策优选模型与方法，并通过战役决心方案的评价说明了该方法是可行、有效的，可作为军事决策与决策支持系统的备选方法。     

Two-component model of solar plages

By use of the 2-m Mcmath-Pierce telescope at Kitt Peak, the high-quality spectra of a plage with moderate brightness near the center of solar disk were obtained. The data include seven spectral lines, which are Hα, Hβ, CaII H and K lines and the infrared triplet. With the consideration of fine structures of solar plages, a two-component atmospheric model is constructed by keeping the cool component to be the quiet atmosphere. Three cases of the hot component are given for different filling factors where the temperature and density distribution are adjusted in order to reproduce the seven observed spectral profiles. We also briefly discuss the influence of the column density at the base of the corona, m0, and the macro-turbulent velocity on the required filling factor and computed profiles. The two-component model is compared with precious one-component semi-empirical models. The limitation of the model is pointed out and further improvement is indicated.     

金属银熔体快冷过程的计算机模拟

利用分子动力学模拟技术研究了由周期性边界条件控制的500个银(Ag)原子构成的金属Ag熔体快速冷凝过程.冷却速率为8×1013K/s.模拟在FS(Finnis-Sinclair)相互作用势的基础上,通过双体分布函数、键对分析技术、键取向序等多种方法,对液银快速冷凝过程的微观结构转变特性作了分析,给出了连续快速冷凝过程中液银原子间依靠相互作用力形成的独特的微观结构图像.并考察了冷却过程中体系能量和元胞体积随温度的变化.模拟结果表明在快速冷凝过程中液Ag没有形成bcc结构的倾向.