本刊英文版Vol.29(2013),No.11论文摘要(英文)

<正>Vitali Type Convergence Theorems for Banach Space Valued Integrals Marek BALCERZAK Kazimierz MUSIAL Abstract Let(Ω,∑,μ)be a complete probability space and let X be a Banach space.We introduce the notion of scalar equi-convergence in measure which being applied to sequences of Pettis integrable functions generates a new convergence theorem.We also obtain a Vitali type I-convergence theorem for Pettis integrals where I is an ideal on N.On Universally Left-stability ofε-Isometry     

随时间变化的非平整壁面对液膜表面波演化特性的影响

本文对非平整壁面上的液膜表面波演化过程进行了研究. 针对非平整壁面随时间变化的特性, 采用小参数摄动法对控制方程和边界条件进行求解, 推导出波动壁面上液膜表面波的扰动方程, 采用导数展开法对其进行求解, 并选取简谐波形状的壁面进行数值研究. 对波动壁面下不同参数的影响规律研究可得, 当壁面频率较小时, 静态波与行进波的波长比较相近, 促进表面波之间的合并, 且壁面频率、壁面振幅及Re数的增加, 均会使表面波的振幅明显增大; 对比波动壁面与非平整壁面可得, 在相同位置处, 随着时间的演化, 非平整壁面上表面波呈周期变化, 而波动壁面上表面波呈波长更大的近周期变化; 壁面振幅和壁面频率的降低, 均会使两种壁面结构下的表面波振幅减小, 但所形成的表面波形有所不同, 即波动壁面引起的表面波可看作波动壁面结构与非平整壁面引起的表面波叠加而成.     

局部谱性质与摄动

It is shown that local spectral properties such as the single-valued extension property, Dunford's property(C), Bishop's property(β), the decomposition property(δ), or decomposability are stable under commuting perturbations whose spectra are finite.     

强激光辐照对3C-SiC晶体结构稳定性的影响

使用基于密度泛函微扰理论的线性响应方法, 模拟研究了强激光辐照对闪锌矿结构的碳化硅晶体结构稳定性的影响. 通过计算在不同电子温度下3C-SiC晶体的声子色散曲线, 发现3C-SiC的横声学声子频率随电子温度的升高会出现虚频, 其临界电子温度是3.395 eV. 结果表明, 在强激光辐照下3C-SiC 晶体变得不稳定, 这与以前对金刚石结构的碳、硅和闪锌矿结构的砷化镓、锑化铟的研究结果非常类似. 电子温度在0–4.50 eV 范围内时, 3C-SiC晶体在Γ 点的LO-TO分裂度随电子温度的升高而增大, 超过4.50 eV后随电子温度的升高而减小. 这表明只有在足够强的激光辐照下, 电子激发才会削弱晶体的离子性强度.     

J-TEXT װ�þ�̬�Ŷ�����Դϵͳ�ṹ������ʵ��

研制了一种基于电容储能的脉冲电源系统用于J-TEXT 装置扰动磁场线圈的运行,介绍了J-TEXT 装置静态扰动磁场线圈(SRMP),对静态扰动磁场电源系统进行了原理分析,并给出了电源的运行结果。实验运行效果表明,输出电流最大能达到8kA,最大电流上升率为200A.ms-1,静态扰动场电源系可以稳定地工作,可以产生足够的扰动磁场并开展相关物理实验。     

On the solvability of implicit differential inclusions

In the paper, the set-valued covering mappings are studied. The statements on solvability, solution estimates, and well-posedness of inclusions with conditionally covering mappings are proved. The results obtained are applied to the investigation of differential inclusions unsolved for the unknown function. The statements on solvability, solution estimates, and well-posedness of these inclusions are derived.     

First-principles study of structure and nonlinear optical properties of CdHg(SCN)4 crystal

The geometric structure,electronic structure,and optical properties of CdHg(SCN)4 crystal are calculated by using the density functional perturbation theory and Green function screening Coulomb interaction approximation.The band gap of CdHg(SCN)4 crystal is calculated to be 3.198 eV,which is in good agreement with the experimental value 3.265 eV.The calculated second-order nonlinear optical coefficients are d_(14) = 1.2906 pm/V and d_(15) = 5.0928 pm/V,which are in agreement with the experimental results(d_(14)=(1.4 ±0.6) pm/V and d_(15)=(6.0 ±0.9) pm/V).Moreover,it is found that the contribution to the valence band mainly comes from Cd-4d,Hg-5d states,and the contributions to the valence band top and the conduction band bottom predominantly come from C-2p,N-2p,and S-3p states.The second-order nonlinear optical effect of CdHg(SCN)_4 crystal results mainly from the internal electronic transition of(SCN)~-.     

由热学性质获取氩晶体原子间各阶力常数

本文基于晶格动力学和量子力学微扰理论推导了氩晶体的热膨胀系数和比热与原子间相互作用的各阶力常数之间的关系公式,在此基础上根据热膨胀系数和比热的数据计算了氩晶体内的原子间相互作用的各阶力常数,并根据这些力常数绘制了原子间相互作用势能曲线,经比对发现该势能曲线与Morse势能曲线能较好吻合,这表明,本文提出的从热膨胀系数和比热获取各阶力常数的方法是正确的。     

Structures,energetics and vibrational spectra of (H2O)32 clusters: a journey from model potentials to correlated theory

Empirical model potentials are found to be very useful for generating most competitive minima of large water clusters, whereas correlated (e.g. second order-Møller–Plesset perturbation (MP2) theory or higher) calculations are necessary for predicting their accurate energetics and vibrational features. The present study reports the structures and energetics of (H₂O)₃₂ clusters at MP2 level using aug-cc-pvDZ basis set, starting with low-lying structures generated from model potentials. Such high-end and accurate calculations are made feasible by the cost-effective fragment-based molecular tailoring approach (MTA) in conjunction with the grafting procedure. The latter is found to yield electronic energies with a sub-millihartree accuracy with reference to their full calculation counterparts. The vibrational spectra of nine low-lying (H₂O)₃₂ isomers are obtained from the corresponding MTA-based Hessian matrix. All these low-lying isomers show almost similar spectral features, which are in fair agreement with the experiment. The experimental spectrum of (H₂O)₃₂ is thus better understood from the vibrational features of this set of very closely spaced isomers. The present case study of (H₂O)₃₂ clearly demonstrates the efficacy in obtaining accurate structures, energetics and spectra at correlated level of theory by combining model potential-based structures with fragmentation methods.