空间半无界区域的非重叠区域分解算法

主要研究了空间一种半无界凹球区域上的区域分解算法.在三维空间自然边界规划的基础上,以三维Dirichlet外边值问题为例,进行的D-N交替算法.并提出了该算法与Richardson迭代法的等价性,并分析其收敛性及其收敛速度与网格参数h无关.同时给出了松弛因子的取值范围.     

球面上的几何连续插值

In this paper, a new method for geometrically continuous interpolation in spheres is proposed. The method is entirely based on the spherical B′ezier curves defined by the generalized de Casteljau algorithm. Firstly we compute the tangent directions and curvature vectors at the endpoints of a spherical B′ezier curve. Then, based on the above results, we design a piecewise spherical B′ezier curve with G 1 and G 2 continuity. In order to get the optimal piecewise curve according to two different criteria, we also give a constructive method to determine the shape parameters of the curve. According to the method, any given spherical points can be directly interpolated in the sphere. Experimental results also demonstrate that the method performs well both in uniform speed and magnitude of covariant acceleration.     

基于Fe3O4@SiO2/Ni-NTA磁性微球的His-tag融合蛋白纯化体系的建立

合成了表面共价结合Ni-氨基三乙酸(Ni-NTA)基团的Fe3O4@ SiO2微球,这种磁性微球可用于分离含有His-tag标签的融合蛋白.微球中心由尺寸约402 nm的Fe3O4微粒组成,赋予了微球极好的磁性分离和离心分离的特性.应用Fe3O4@ SiO2/Ni-NTA磁性微球对含有6×His-tag(6聚组氨酸)标签的蛋白进行了分离纯化,结果表明,10 mg Fe3O4@ SiO2/Ni-NTA微球能够从10mL重组蛋白裂解液中纯化出约1 mg带有6×His-tag标签的融合蛋白.微球的高效分离效果使其能够用于含量较低的带有6×His-tag标签蛋白的分离纯化.     

ELECTRON TRANSFER REACTIONS OF METAL CARBONYL ANIONS

Abstract

Metal carbonyl anions exhibit one- and two-electron reactions. The two-electron processes involving transfer of groups (hydrogen, alkyl, and halogen) between metal centers are related to the nucleophilicity. The one-electron processes are primarily outer-sphere electron transfer for the metal carbonyl anions. These reactions are observed in the presence of oxidants such as coordination complexes, pyridinium salts, metal carbonyl dimers and metal carbonyl clusters. However, in contrast to organic reactions, the metal carbonyl anions may undergo inner-sphere electron transfer. Reactions of metal carbonyl anions of low nucleophilicity with metal carbonyl cations or halides are best interpreted as inner-sphere, one-electron transfer.     

Electro-thermo-mechanical behaviors of FGPM spheres using analytical method and ANSYS software

A hollow sphere made from functionally graded piezoelectric material (FGPM) such as PZT_4 has been considered. One-dimensional analytical method for electro-thermo-mechanical response of symmetrical spheres is used. For asymmetric three-dimensional analysis, ANSYS finite element software is employed in this study. Loading is combination of internal and external pressures, a distributed temperature field due to steady state heat conduction and a constant electric potential difference between its inner and outer surfaces for analytical solution. In three-dimensional solutions closed and open spheres with different boundary conditions subjected to an internal pressure and a uniform temperature field are studied. All mechanical, thermal and piezoelectric properties except the Poisson’s ratio are assumed to be power functions of radius. It has been found from analytical solution that the induced radial and circumferential stresses of an imposed electric potential is similar to the residual stresses locked in the homogeneous sphere during the autofrettage process of these vessels. It has been concluded from the three-dimensional analysis that the magnitudes of effective stresses at all node points are higher for the clamped-clamped boundary condition and are lower for the simply-simply supported condition.     

Heat and mass transfer investigation of rotating hydrocarbons droplet which behaves as a hard sphere

The steady state boundary layer equations around rotating pure hydrocarbon droplet are solved numerically. The droplet is simulated to behave as a hard sphere. The transfer equations are discretized using an implicit finite difference method where Thomas algorithm solves the system of algebraic equations. Moreover, dimensionless parameters of heat and mass transfer phenomena around a rotating hexane droplet concluded. The thickness of the boundary layer is unknown for this model and therefore, it is determined. Further, this work proposes correlations of Nusselt and Sherwood numbers for monocomponent hydrocarbon droplets in evaporation. These correlations consider the rotation phenomena and further, the variation of the thermophysical and transport properties in the vapour phase.     

高双折射光纤中非线性耦合模偏振态稳定性分析

通过高双折射光纤中非线性耦合模传输方程,首先,利用斯托克斯参量,用庞加莱球研究分析了耦合模传输的稳定性及偏振态的演变,结果表明高双折射光纤中耦合模的传输不产生分歧现象,传输具有稳定性;其次,描述了拉曼效应对各种状态下偏振态演变规律的影响,给出了斯托克斯参量S₁,S₂与S₃的解析解及拉曼效应对偏振态的演变周期的影响.     

Representation formula for discrete indefinite affine spheres

We present a representation formula for discrete indefinite affine spheres via loop group factorizations. This formula is derived from the Birkhoff decomposition of loop groups associated with discrete indefinite affine spheres. In particular we show that a discrete indefinite improper affine sphere can be constructed from two discrete plane curves.     

Achieving Strong Magnon Blockade through Magnon Squeezing in a Cavity Magnetomechanical System

A scheme that harnesses magnon squeezing under weak pump driving within a cavity magnomechanical system to achieve a robust magnon (photon) blockade is proposed. Through meticulous analytical calculations of optimal parametric gain and detuning values, the objective is to enhance the second-order correlation function. The findings demonstrate a substantial magnon blockade effect under ideal conditions, accompanied by a simultaneous photon blockade effect. Impressively, both numerical and analytical results are found to be in complete accord, providing robust validation for the consistency of the findings. It is anticipated that the proposed scheme will serve as a pioneering approach toward the practical realization of magnon (photon) blockade in experimental cavity magnomechanical systems.