A Monte-Carlo study of equilibrium polymers in a shear flow

We use an off-lattice microscopic model for solutions of equilibrium polymers (EP) in a lamellar shear flow generated by means of a self-consistent external field between parallel hard walls. The individual conformations of the chains are found to elongate in flow direction and shrink perpendicular to it while the average polymer length decreases with increasing shear rate. The Molecular Weight Distribution of the chain lengths retains largely its exponential form in dense solutions whereas in dilute solutions it changes from a power-exponential Schwartz distribution to a purely exponential one upon an increase of the shear rate. With growing shear rate the system becomes increasingly inhomogeneous so that a characteristic variation of the total monomer density, the diffusion coefficient, and the center-of-mass distribution of polymer chains of different contour length with the velocity of flow is observed. At higher temperature, as the average chain length decreases significantly, the system is shown to undergo an order-disorder transition into a state of nematic liquid crystalline order with an easy direction parallel to the hard walls. The influence of shear flow on this state is briefly examined. Received 22 October 1998 and Received in final form 12 April 1999     

Attractive forces between anisotropic inclusions in the membrane of a vesicle

The fluctuation-induced interaction between two rod-like, rigid inclusions in a fluid vesicle is studied by means of canonical ensemble Monte-Carlo simulations. The vesicle membrane is represented by a triangulated network of hard spheres. Five rigidly connected hard spheres form rod-like inclusions that can leap between sites of the triangular network. Their effective interaction potential is computed as a function of mutual distance and angle of the inclusions. On account of the hard-core potential among these, the nature of the potential is purely entropic. Special precaution is taken to reduce lattice artifacts and the influence of finite-size effects due to the spherical geometry. Our results show that the effective potential is attractive and short-range compared with the rod length L. Its well depth is of the order of , where is the bending modulus. Received 5 February 1999 and Received in final form 14 May 1999     

Evidence for d-wave superconductivity in the repulsive Hubbard model

We perform numerical simulations of the Hubbard model using the projector Quantum Monte Carlo method. A novel approach for finite size scaling is discussed. We obtain evidence in favor of d-wave superconductivity in the repulsive Hubbard model. For U=4, is roughly estimated as K. Received 8 September 1998     

低温焦油馏分的组成和统计结构表征

用ＧＣ－ＭＳ研究了代温焦油第４和第５蒸馏馏分的组成和统计平均结构。研究表明,平朔煤低温焦油第４（２３０～２７０℃）和第５（２７０～３４０℃）蒸馏馏分,由脂肪烃类化合物和非脂肪烃类化合物两大类组成。第４和第５馏分的平均分子量分别为２８０．２和２９６．２和２９６．７。第４蒸馏馏分中的非脂肪烃化合物主要由酚类２２．４４％和取代萘酚６２．７３％组成。第５蒸馏馏分中的非脂肪烃化合物主要酚类８．６９％,芳香基     

地表水资源统计分析管理系统

水资源统计分析手工计算工作量大,周期长。文章根据地表水文数据的特点和水资源统计分析的要求,对系统进行了详细的分析,给出了系统的结构和模型。实际应用表明,系统适应性强,操作简便、灵活,信息处理效率高,效益显著。     

Stationary harmonic maps into complete Riemannian manifold

The stationary for harmonic maps is considered from a Riemannian manifoldM into a complete Riemannian manifoldN without boundary, and it is proved that its singular set is contained inQ ¹ 2MQ ³ Project supported partially by the Development Foundation Science of Shanghai, China.     

Characterization of Smoothness of Multivariate Refinable Functions in Sobolev Spaces

Wavelets are generated from refinable functions by using multiresolution analysis. In this paper we investigate the smoothness properties of multivariate refinable functions in Sobolev spaces. We characterize the optimal smoothness of a multivariate refinable function in terms of the spectral radius of the corresponding transition operator restricted to a suitable finite dimensional invariant subspace. Several examples are provided to illustrate the general theory.

     

半导体激光器光谱的聚类分析

本文提出了分析半导体激光器光谱分布差异的聚类算法.首先,介绍了聚类分析的有关概念和原理,接着给出了分析光谱差异的算法.该算法具有较强的有效性和通用性.最后,给出了一个具体应用.     

基于微束X射线荧光的铸轧7B05铝合金元素偏析研究

材料内部微观尺度上成分、组织结构控制精度低、波动大是制约高铁铝合金国产化进程的重要原因,因此从微观尺度上研究大尺寸铝合金成分均匀性至关重要.鉴于目前研究铝合金偏析的区域通常较小且不连续,定量统计方法过于简单.使用微区分辨率较高的微束X荧光与原位定量统计分布分析技术相结合的方法,从点、线、面、频度分布等方面对成分分布数据...