Spherical functions and invariant differential operators on complex Grassmann manifolds

Proofs are given of two theorems of Berezin and Karpelevi?, which as far as we know never have been proved correctly. By using eigenfunctions of the Laplace-Beltrami operator it is shown that the spherical functions on a complex Grassmann manifold are given by a determinant of certain hypergeometric functions. By application of this result, it is proved that a certain system of operators, fow which explicit expressions are given, generates the algebra of radial parts of invariant differential operators.     

Preparation and characterization of carbamoylphosphonate(CMPO) silane grafted on various mesoporous silicas

The carbamoylphosphosphonate silane (CMPO analogue; 2-(diphenylphosphoryl)-N-(3-(triethoxysilyl)propyl) acetamide) modified mesoporous silica was prepared via a post-synthesis grafting method for the effective purification of rare earth elements. The guest CMPO analogue was synthesized by direct coupling reaction of 2-(diphenylphosphoryl) acetic acid and 3-(triethoxysilyl)propan-1-amine. Various mesoporous silicates such as MCM-41, SBA-15, or amorphous silica nanoparticles were adopted as host materials. The resulting surface-modified mesoporous materials were characterized with respect to their structural integrity, surface area, and pore size and the concentration of the CMPO silane species. These CMPO functionalized periodic mesostructured silicates offer the potential of applications as catalysts, sensors, or environmental sorbents.     

A safe harbor can protect an endangered species from its predators

The objective is the study of the dynamics of a prey–predator model where the prey species can migrate between two patches. The specialist predator is confined to the first patch, where it consumes the prey following the simple law of mass action. The prey is further “endangered” in that it suffers from the strong Allee effect, assumed to occur due to the lowering of successful matings. In the second patch the prey grows logistically. The model is formulated in a comprehensive way so as to include specialist as well as generalist predators, as a continuum of possible behaviors. This model described by a set of three ordinary differential equation is an extension of some previous models proposed and analysed in the literature on metapopulation models. The following analysis issues will be addressed: boundedness of the solution, equilibrium feasibility and stability, and dynamic behaviour dependency of the population and environmental parameters. Three types for both equilibria and limit cycles are possible: trivial, predator-free and coexistence. Classical analysis techniques are used and also theoretical and numerical bifurcation analysis. Besides the well-known local bifurcations, also a homoclinic connection as a global bifurcation is calculated. In view of the difficulty in the analysis, only the specialist case will be analysed. The obtained results indicate that the safe harbor can protect the endangered species under certain parametric restrictions.

     

Modeling Dislocation-Stacking Fault Interaction Using Molecular Dynamics

In a number of fcc materials such as copper or aluminum, as well as more complex materials such as twinning induced plasticity (TWIP) steels, the interaction between dislocations and other defects such as stacking faults or twins plays an important role in the hardening behavior of such materials. Interactions of dislocation and twin or stacking fault layers have been studied in this work using molecular dynamics. Depending on the material and the loading conditions, possible interaction modes include (i) penetration of the dislocation into the faulted layer, (ii) reduction of the faulted layer after interaction, (iii) growth of the faulted layer after interaction. Such studies up to this point have been performed without temperature control near zero K (0 to 2 K). In this work, we extend the previous studies to higher temperature with the help of two methods, both based on molecular dynamics (MD) modeling. (© 2013 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Modeling of polycrystals with gradient crystal plasticity: A comparison of strategies

This paper treats the computational modeling of size dependence in microstructure models of metals. Different gradient crystal plasticity strategies are analyzed and compared. For the numerical implementation, a dual-mixed finite element formulation which is suitable for parallelization is suggested. The paper ends with a representative numerical example for polycrystals.     

叠层芯片应用的封装挑战与解决方法

叠层管芯封装的不断发展导致该技术能有效地在同一基底内增大电子器件的功能和容量,作为单个芯片。蜂窝电话及其它消费类产品中叠层芯片封装的应用增长促使能够在给定封装尺寸中封装多层芯片。介绍了叠层芯片封装技术中最主要是满足总封装高度的要求。用于叠层芯片封装的技术实现方法包括基片减薄、薄裸芯片贴装、小形貌引线键合、与无支撑的边缘键合以及小偏倒成形等。集中介绍了叠层管芯互连要求。介绍了倒装芯片应用中的正向球形键合、反向球形键合和焊凸凸焊技术,讨论了优点和不足。说明球形键合机的发展能够满足叠层芯片封装的挑战,即超低环形状、长引线跨距和悬空键合等。     

500nA电源监控器延长便携式应用电池寿命

通过实际应用电路展示,介绍了采用LTC2934和LTC2935超低功率监控器提供准确电压监视和微处理器控制,从而实现便携应用电池寿命的延长。     

正确选择电源管理方案，提升系统性能并延长电池寿命

有了无线技术,用户就真正实现了"网络随行".然而无线设备无法长时间连接固定电源,因此如果仅靠电池供电的话,很快就能把电池电量消耗完.无论采用何种化学技术,电池都只能存储有限的电量,当电量耗尽时均需要替换或充电.加强对电源管理问题的重视可有助于延长电池的寿命.基站等一些不用依靠电池的无线系统必须在兼顾能源效率的前提下,才能实现高性能指标.     

针对微控制器应用的MIPS32 M4K内核影子寄存器

RISC架构为微控制器领域带来了许多优势,例如与CISC架构相比,它对程序编译器更加友好,而且在硅面积方面也非常经济。