相干平行板电容器对外场的动态响应

基于介观体系动态响应的自洽理论,讨论了介观相干平行板电容器的电容.结果表明相干电容器的电容对外场频率有很强的依赖关系,并且是随频率变化的复变函数.该电容随频率的变化关系呈现出一个非常有意义的特性,即电容虚部曲线有一个较尖锐的峰,它正好与电容实部的极小位置相对应,而进一步研究发现它们与该电容体系中的类等离子体激发相联系.另外,也讨论了介观电容的尺寸效应,发现当极板间距很大时,电容值和宏观的几何电容结果趋于一致.     

平行板电容器与静电演示

平行板电容器是静电学重要的演示仪器之一。用它除可研究平行板电容器的特性C=K εS/d外。还可以通过平行板建立电场,在平行电场中研究静电学中的静电力、电势、带电粒子在电场中的运动、避雷针模型等学生认为比较抽象的问题,给静电学中     

非平行板电容器电容的又一算法

应用平行板电容器电容的概念和并联电容器电容公式,给出了非平行板电容器的电容及电场分布.     

关于平行板电容器实验的探讨

“ 影响平行板电容器电容的因素”这一实验在实际演示过程中较难成功, 本文主要是针对该实验进行 分析和改进, 以及对该实验的相关疑难问题的探讨     

定量探究平行板电容器的电容

平行板电容器的电容是高中物理电学部分的重要演示实验.教材中的探究方案只能定性研究,且理解难度大,实验效果不明显.为解决以上问题设计了简单稳定且能定量探究平行板电容器电容决定因素的实验装置.实验装置采用单面覆铜板作为电容器极板,利用A4纸或塑料文件夹做电介质,通过实验探究得出平行板电容器电容与极板正对面积成正比,与极板间...     

有缺陷的平行板电容器内的市场

利用复数坐标系上的保角变换和利用势的拉普拉斯方程分别讨论了带有半圆柱形凸出疤和半球形占出疤两种有缺陷的平行板电容器的电场分布,进而得出一些有益的结论。     

正方形平行板电容器的边缘效应：谈物理模型实用化

本文利用复变函数中施瓦兹（Ｓｃｈｗａｒｚ）变换所表达的“无限大”方形平行板电容器的复势Ｗ平面与复数坐标。平面的变换关系，研究“无限大”方形平行板电容器的边缘效应，得出“无限大”方形平行板电容器的电容公式．计算出因忽略方形平板边缘效应所造成的相对误差与克希霍夫圆形平板电容公式所对应的相对误差非常接近．     

关于平行板电容器能量的讨论

讨论了平行板电容器储存的电场能和电势能, 以及带电粒子飞入两板间电场及在电场中偏转过程中能 量的转化情况, 也讨论了电势能及其变化     

平行板电容器有关物理问题的理论推导

对可看做无限大的平行板电容器电荷的分布、 电容的定量表达式以及插入金属板或者电介质对电容 的影响等规律做了严格的推导, 旨在拓宽物理教师视野     

有缺陷的平行板电容器内的电场

利用复数坐标系上的保角变换和利用势的拉普拉斯方程分别讨论了带有半圆柱形凸出疤和半球形凸出疤两种有缺陷的平行板电容器内的电场分布,进而得出一些有益的结论     

电容器工作时的热效应

用热力学第一定律给出电容器在工作时产生的热效应。     

Nanoporous Al sandwich foils using size effect of Al layer thickness during Cu/Al/Cu laminate rolling

The roll bonding technique is one of the most widely used methods to produce metal laminate sheets. Such sheets offer interesting research opportunities for both scientists and engineers. In this paper, we report on an experimental investigation of the ‘thickness effect’ during laminate rolling for the first time. Using a four-high multifunction rolling mill, Cu/Al/Cu laminate sheets were fabricated with a range of thicknesses (16, 40, 70 and 130 μm) of the Al layer. The thickness of the Cu sheets was a constant 300 μm. After rolling, TEM images show good bonding quality between the Cu and Al layers. However, there are many nanoscale pores in the Al layer. The fraction of nanoscale pores in the Al layer increases with a reduction in the Al layer thickness. The finite element method was used to simulate the Cu/Al/Cu rolling process. The simulation results reveal the effect of the Al layer thickness on the deformation characteristics of the Cu/Al/Cu laminate. Finally, we propose that the size effect of the Al layer thickness during Cu/Al/Cu laminate rolling may offer a method to fabricate ‘nanoporous’ Al sandwich laminate foils. Such foils can be used in electromagnetic shielding of electrical devices and noisy shielding of building.     

Finite size effect on Raman frequency of phonons in nano-semiconductors

A comprehensive study on Raman spectroscopy with different excitation wavelengths, sample sizes, and sample shapes for optic phonons (OPs) and acoustic phonons (APs) in polar and non-polar nano-semiconductors has been performed. The study affirms that the finite size effect does not appear in the OPs of polar nano-semiconductors, while it exists in all other types of phonons. The absence of the FSE is confirmed to be originated from the long-range Fröhlich interaction and the breaking of translation symmetry. The result indicates that the Raman spectra of OPs cannot be used as a method to characterize the scale and crystalline property of polar nano-semiconductors.     

EZ模型中的有限尺寸效应

研究EZ模型中的有限尺寸效应.当经纪人数目N足够大及发生交易的概率a1/N，发现有限尺 寸效应是重要的.此时，系统几乎变成包含所有经纪人的单一集团.而对较小集团，尺寸分布 仍然服从幂函数律，但是指数因涨落效应而改变.但当a1/N时，可以论证涨落效应不重要 ，因而平均场理论是严格成立的. 关键词： EZ模型 有限尺寸效应 涨落 平均场理论     

含遮蔽抛射沉积模型的有限尺寸效应

含遮蔽抛射沉积模型是在抛射沉积(BD)模型的基础上考虑了粒子以一定的角度分布倾斜入射的情况.本文应用外推方法确定了大尺寸极限下含遮蔽抛射沉积模型的各标度指数,讨论了该模型的有限尺寸效应及其标度性质.从模拟结果可以看出含遮蔽BD模型的有限尺寸效应与BD模型有所不同,遮蔽这种非局域作用可以显著地改变BD模型的标度性质. 关键词： 遮蔽效应 抛射沉积模型 有限尺寸效应 动力学标度     

平板型阶跃式变阻抗线特性

介绍了变阻抗线的工作原理,给出了类Blumlein线结构变阻抗线的倍压特性,变阻抗线能够实现能量的完全传输,输出电压为输入电压的(n+1)/2倍;以平板结构为例研究了变阻抗线中的阻抗偏差问题：传输线实际阻抗较理论设计值偏大,各级的偏差基本在20%以内;通过电磁仿真研究了三级类Blumlein线结构变阻抗线中各级阻抗偏差对于倍压系数的影响,在阻抗偏差范围内,倍压系数随着阻抗的增大而减小,倍压系数在1.9~2.1范围内,给出倍压系数受各级阻抗偏差的影响规律;设计了三级类Blumlein线结构平板传输线进行实验,输出电压为3833 V,与理论设计相符。     

非平行板电容器电容的边缘效应研究

本文利用保角变换将非平行板电容器变换为平行板电容器;再利用施瓦兹-克利斯多菲变换计算考虑边缘效应时电容器的电容.讨论了平板倾斜角和边缘效应对平板电容器电容的影响.     

The interaction between Lateral size effect and grain size when scratching polycrystalline copper using a Berkovich indenter

It has been reported previously that, for single and polycrystalline copper (fcc), the indentation size effect and the grain size effect (GSE) can be combined in a single length-scale-dependent deformation mechanism linked to a characteristic length-scale calculable by a dislocation-slip-distance approach (X. D. Hou and N. M. Jennett, ‘Application of a modified slip-distance theory to the indentation of single-crystal and polycrystalline copper to model the interactions between indentation size and structure size effects,’ Acta Mater., Vol. 60, pp. 4128–4135, 2012). Recently, we identified a ‘lateral size effect (LSE)’ in scratch hardness measurements in single crystal copper, where the scratch hardness increases when the scratch size is reduced (A. Kareer, X. D. Hou, N. M. Jennett and S. V. Hainsworth ‘The existence of a lateral size effect and the relationship between indentation and scratch hardness’ Philos. Mag. published online 24 March 2016). This paper investigates the effect of grain size on the scratch hardness of polycrystalline copper with average grain sizes between 1.2 and 44.4 μm, when using a Berkovich indenter. Exactly the same samples are used as in the indentation investigation by Hou et al. (‘Application of a modified slip-distance theory to the indentation of single-crystal and polycrystalline copper to model the interactions between indentation size and structure size effects,’ Acta Mater., Vol. 60, pp. 4128–4135, 2012). It is shown that, not only does the scratch hardness increase with decreasing grain size, but that the GSE and LSE combine in reciprocal length (as found previously for indentation) rather than as a superposition of individual stresses. Applying the same (as indentation) dislocation-slip-distance-based size effect model to scratch hardness yielded a good fit to the experimental data, strongly indicating that it is the slip-distance-like combined length-scale that determines scratch hardness. A comparison of the fit parameters obtained by indentation and scratch on the same samples is made and some distinct differences are identified. The most striking difference is that scratch hardness is over four times more sensitive to grain size than is indentation hardness.