Convex functions on Grassmannian manifolds and Lawson-Osserman problem

We derive estimates of the Hessian of two smooth functions defined on Grassmannian manifold. Based on it, we can derive curvature estimates for minimal submanifolds in Euclidean space via Gauss map as in [Y.L. Xin, Ling Yang, Curvature estimates for minimal submanifolds of higher codimension, arXiv: 0709.3686; 24]. In this way, the result for Bernstein type theorem done by Jost and the first author could be improved.     

Effect of molecular weight of macro‐iniferter on electro‐optical properties of polymer dispersed liquid crystal films prepared by iniferter polymerization

Polymer dispersed liquid crystal (PDLC) films were prepared by a devised method, in which photo‐polymerization induced phase separation in a mixtures of a macro‐iniferter, methyl acrylater, and liquid crystal. The morphology of the obtained PDLC films was examined on a polarized optical microscopy, and the effect of molecular weight of MIs on the electro‐optical properties was deliberately investigated. Decreasing the molecular weight of MIs in the films led to formation of larger liquid crystal droplets and a lower V_th values. V_sat increased and the memory effect decreased because of the increased interface anchoring strength induced by the higher molecular weight of polymer matrices. © 2009 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 47: 1530–1534, 2009     

聚合物侧基NMR弛豫相关函数

本文导出了聚合物为链段运动时,侧基进行非等价二位置和三位置跃迁内旋转、随机自由扩散内旋转以及受阻内旋转时的NMR弛豫相关函数,同时给出了相应的谱密度函数,并讨论了两个应用实例。     

综合阻尼系数——线性定常系统阻尼特性的新定义

本文应用能量型的定理,建立了线性定常系统阻尼特性的分析方法。定义了阻尼能量函数D(X₀,X)=C_i integral from n=(X₀,X) x_idx_i-1及综合阻尼系数η=min(C_i/a_n-i)。得出结论:(1)Hurwitz判别式中的△_n-1正比于系统振荡的阻尼效应;(2)定常系统的综合阻尼系数可以写成分段解析的有理分数形式,便于计算与分析;(3)求出了不依赖于ω的同步电机的电磁阻尼力矩系数。     

Tensile properties of structural I clathrate hydrates: Role of guest–host hydrogen bonding ability

Clathrate hydrates (CHs) are one of the most promising molecular structures in applications of gas capture and storage, and gas separations. Fundamental knowledge of mechanical characteristics of CHs is of crucial importance for assessing gas storage and separations at cold conditions, as well as understanding their stability and formation mechanisms. Here, the tensile mechanical properties of structural I CHs encapsulating a variety of guest species (CH₄, NH₃, H₂S, CH₂O, CH₃OH, and CH₃SH) that have different abilities to form hydrogen (H-) bonds with water molecule are explored by classical molecular dynamics (MD) simulations. All investigated CHs are structurally stable clathrate structures. Basic mechanical properties of CHs including tensile limit and Young’s modulus are dominated by the H-bonding ability of host–guest molecules and the guest molecular polarity. CHs containing small CH₄, CH₂O and H₂S guest molecules that possess weak H-bonding ability are mechanically robust clathrate structures and mechanically destabilized via brittle failure on the (1 0 1) plane. However, those entrapping CH₃SH, CH₃OH, and NH₃ that have strong H-bonding ability are mechanically weak molecular structures and mechanically destabilized through ductile failure as a result of gradual global dissociation of clathrate cages.     

Determination of Hypochlorite via Fluorescence Change from Blue to Green Based on 4-(1 H-imidazo [4,5-f] [1,10]-phenanthrolin-2-yl) Benzaldehyde Oxime

The new design strategy will provide the possibility for preparing a dynamic sensor by employing the inhibition of C?=?N isomerization. In this work, the functional probe 4-(1 H-imidazo [4,5-f] [1,10]-phenanthrolin-2-yl) benzaldehyde oxime (compound 4) has been synthesized and such molecule gives rise to blue emission. Due to the incorporation of hypochlorite, the oxime group can be oxidized to the structure of aldehyde. As a result, the molecular motif exhibits sharp emission change from blue to green due to the addition of hypochlorite with enough sensitivity and selectivity (detection limit?=?53 nM, linear range 0.5-8.0 µM). It has also been used for monitoring ClO^? by employing solution color change and the absorption signal difference could effectively rule out the effects of interference species. To our knowledge, it will be the first case of a highly selective hypochlorite sensor derived from oxime isomerization reaction based on phenanthroline backbone.

     

低速模拟中叶型最大厚度模化研究

介绍了低速模拟中低速叶型的设计准则,分析说明了叶型喉道宽度与最大厚度、最大厚度位置存在线性关系。建立了最大厚度模型,用以预估低速叶型最大厚度。为了验证最大厚度模型的适用性,进行了一组典型CDA叶型的低速模拟设计。数值计算结果显示,低速模拟叶型的特性和叶表无量纲速度分布较为一致,用以判断最大厚度模型适用性的吸力面峰值速度相对误差仅有0.75%,说明了最大厚度模型的准确性。利用该模型预估最大厚度,可减少低速模拟设计过程的迭代次数。     

Controllable Quantum Network Coding Scheme Based on Quantum Walk

Quantum entanglement is one of the key methods in quantum information processing, but it is difficult to prepare quantum entanglement. Quantum walk is widely used in quantum computation and quantum simulation, it can be applied to the preparation of quantum entangled states. In this paper, a controllable quantum network coding scheme based on quantum walk is proposed. With the help of quantum walk, the scheme preliminary realized the entanglement distribution of butterfly network, reduced entanglement resources and enhanced scalability. According to the existing technology, it is feasible to implement the quantum network coding scheme proposed in this paper.