Inherent instabilities of some W5Si3-type binary phases with large electropositive metal atoms: Six examples in the Ba-Pb, Ca-Sn-Mg,Cu,Zn, and La-Ga-Al,Zn systems

A particular pathology of certain W₅Si₃-type A₅B₃ structures (I4/mcm) appears to arise because of unduly close approaches of the A1-type atoms on the cell faces at , 0, () that occur with the larger and more electropositive A and/or in the presence of smaller B atoms. A structure refinement of binary Ba_4.81Pb₃ indicates such a marginal stability in that the Ba atoms in the facial Ba_0.81 chains exhibit an extreme displacement ellipsoid along . Although Ca₅Sn₃ and La₅Ga₃ binaries are unknown in this structure type, five stable ternary derivatives of these have been synthesized via substitution reactions and characterized by single crystal X-ray diffraction means: Ca₄Sn_3.223(4)Mg_0.777, Ca₄Sn₃Cu_1.30(4), Ca_4.66(6)Sn₃Zn_0.704(4), La_4.81(1)Ga_1.38(2)Al_1.62, and La_4.762(5)Ga_1.5(1)Zn_1.5. Only the Ca-Sn-Zn phase exhibits lower symmetry, P4/mbm. The problematic A1 sites exhibit diverse changes in these, whereas the surrounding B2 tetrahedra are largely unaltered. The Ca-Sn results are, respectively: direct Mg/Sn substitution at the Ca1 site; mixed fractional distribution of the smaller Cu at two sites around the A1 position with an unresolved disorder; a pair of apparently independent modes, fractional Ca in the normal position and fractional Zn rectangles thereabout. The two La-Sn phases contain normal Ga,Al (Ga,Zn) tetrahedral chains with pairs of fractional disordered La atoms along , 0, z. Each can be rationalized in terms of a reasonable incommensurate structure. Electronic effects may also be operable.     

聚氯乙烯结构缺陷和热不稳定性之间关系的研究 2.各种结构缺陷含量和热脱氯化氢速率之间的关系

本工作采用溴加成法、酚解法、FTIR法及臭氧裂解法分别测定了五种不饱和蒸气压下聚合的PVC样品(u-PVC)和五种商品PVC样品(s-PVC)的总双键、总不稳定氯、孤立双键和内部双键的含量.通过研究结构缺陷和PVC的平均分子量及脱HCl速率的相互关系,揭示了不饱和总双键值,总不稳定氯和孤立双键含量彼此的相关性是建立在它们分别与1/M_n的相关性基础之上,从而得出了这三种定量值测得的主要都是端基烯丙基氯结构.根据三者对脱HCl速率的良好线性相关性,首次提出了端基烯丙基氯结构在HCl催化作用下异构化成内部烯丙基氯从而成为脱HCl速率主要原因的机理.     

多场耦合作用下光热敏感介电凝胶的力电耦合变形行为

介电弹性体在电场作用下将产生形变,为获得高的变形能,需对介电弹性体施以较强的电场,而强电场的施加可能诱发力电耦合失稳导致失效。针对光热敏感介电凝胶力电耦合变形行为,基于热力学和连续介质力学理论建立力电耦合变形模型,分析了光强、温度以及预拉伸对光热敏感介电凝胶力电耦合变形行为的影响,结果表明:无预拉伸时,随着电场强度的增大,光热敏感介电凝胶最终发生力电失稳,光强越小、温度越低发生力电失稳时的临界电压越高;预拉伸可显著改善力电稳定性,施加等双轴预拉伸后,凝胶厚度方向的伸长率显著变小,电场强度随电位移增大而线性增大,未出现力电失稳现象。     

The effect of a coriolis force on Taylor-Couette flow

Taylor-Couette flow subject to a Coriolis force is studied experimentally and numerically. In the experiment, the Couette apparatus is mounted on a turntable with the axis of the cylinders orthogonal to the rotation vector of the turntable. The Coriolis force stabilizes the fluid against the onset of Taylor vortices and alters the velocity fields, both above and below the transition from the initial flow. At small dimensionless turntable frequencies, the transition yields time-independent Taylor vortices which are tilted with respect to the cylinder axis. At larger there is a direct transition to turbulence. We determine the first-order correction to the classical Couette initial flow, to account for the effects of the Coriolis force, by expanding in powers of. We present numerical results for the axial velocity (the only nonvanishing correction term to order) in the infinite-cylinder approximation.     

FRICTIONAL DISSIPATION AND NONLINEAR BAROTROPIC INSTABILITY

Based on the nonlinear quasi-geostrophic barotropic vorticity equation with Ekman friction, the criteria for nonlinear barotropic stability of the zonal basic flows are derived using Serrin-Joseph energy approach and through total energy, total enstrophy and their linear combination, separately, in terms of variational principle. Since the new transformation for Euler equation is utilized, the estimation of eigenvalue is more accurate, and the previous results of the author are improved very well.     

生态系统的稳定与非稳定

论述了生态系统的稳定与非稳定，给出其定义及分类，揭示其基本特性及两的本质差别，指出其与系统的固有特性及干扰有关；讨论了两与生物多样性的关系。为研究生物与环境的关系奠定理论基础。     

Instability of the shear layer in the near wake of a circular cylinder

The instability of the shear layer separated from a circular cylinder is studied with the Reynolds number (Re) of 3000～104 by numerically solving the two-dimensional Navier-Stokes equations. In the wake of the cylinder, primary vortex shedding with natural frequency fs occurs, and the instability of the shear layer with frequency ft develops, which leads to mixing layer eddies and interacts with the primary shedding vortices. However, there remains some uncertainties regarding to the variation of the shear layer characteristic frequency with the Reynolds number. Based on the previous experimental work, several relationships of ft/fs with Re has been proposed including ft/fs～Re0.5 by Bloor, ft/fs～Re0.87 by Wei and Smith and ft/fs～Re0.67 by Prasad and Williamson. The objective of this study is to predict reasonably the relation of the shear layer instability frequency with the Reynolds number based on the present accurate calculation with the high-order schemes and high-resolution spectrum analysis. According to our calculated results, a variation for the normalized shear-layer frequency of the form ft/fs～Re0.69 is predicted numerically, which is in good agreement with a recent experimental measurement of Re0.67 and physical prediction of Re0.7.     

混沌系统的非线性反馈控制的可控性条件

提出了一些非线性反馈控制混沌的可控性条件，这些条件对设计控制混沌的装置提供了新的依据，解决了线性反馈控制难以确定可控性充分必要条件的困难。     

Thermal-hydraulic Stability Analysis of Nuclear Heating Reactors

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轴向磁场中弱自转对电弧的螺旋不稳定性的影响

为了明确弱自转对电弧的螺旋不稳定性的影响，采用势物型电导率和与时间有关的线性微扰理论，给出了有弱自转存在的热热分布（温度分布）、稳定性条件以及不稳定性增长率等定量结果；得出了迎着外加磁场方向，自转为顺时针方向时，稳定区域增大；反之，减小。