基于2D开源视频分析和建模软件Tracker研究抛体运动实验

以抛体运动实验的视频分析为例,具体介绍如何使用开源视频分析和建模软件Tracker对抛体运动实验进行分析.期望能在国内物理教学中,推广使用这类低成本的开源软件,激发学生探索隐藏在物理实验背后的物理规律的兴趣,扩展分析物理实验的手段.     

A class of hybrid DG/FV methods for conservation laws II: Two-dimensional cases

By comparing the discontinuous Galerkin (DG) methods, the k-exact finite volume (FV) methods and the lift collocation penalty (LCP) methods, a concept of ‘static reconstruction’ and ‘dynamic reconstruction’ was introduced for higher-order numerical methods in our previous work. Based on this concept, a class of hybrid DG/FV methods was presented for one-dimensional conservation law using a ‘hybrid reconstruction’ approach. In the hybrid DG/FV schemes, the lower-order derivatives of the piecewise polynomial are computed locally in a cell by the traditional DG method (called as ‘dynamic reconstruction’), while the higher-order derivatives are re-constructed by the ‘static reconstruction’ of the FV method, using the known lower-order derivatives in the cell itself and in its adjacent face neighboring cells. In this follow-up paper, the hybrid DG/FV schemes are extended onto two-dimensional unstructured and hybrid grids. The two-dimensional linear and non-linear scalar conservation law and Euler equations are considered. Some typical cases are tested to demonstrate the performance of the hybrid DG/FV method, and the numerical results show that they can reduce the CPU time and memory requirement greatly than the traditional DG method with the same order of accuracy in the same mesh.     

On the Well-Posedness Problem and the Scattering Problem for the Dullin-Gottwald-Holm Equation

In this paper, we study the well-posedness of the Cauchy problem and the scattering problem for a new nonlinear dispersive shallow water wave equation (the so-called DGH equation) which was derived by Dullin, Gottwald and Holm. The issue of passing to the limit as the dispersive parameter tends to zero for the solution of the DGH equation is investigated, and the convergence of solutions to the DGH equation as ²0 is studied, and the scattering data of the scattering problem for the equation can be explicitly expressed; the new exact peaked solitary wave solutions are obtained in the DGH equation. After giving the condition of existing peakon in the DGH equation, it turns out to be nonlinearly stable for the peakon in the DGH equation.     

黄花倒水莲与六月雪中6种金属元素的测定

本文采用火焰原子吸收光谱法对中草药黄花倒水莲、六月雪中茎部的Ca、Zn、Mn、Mg、Fe、Cu的含量进行了测定,方法简单、精密度好,回收率在93%—100%之间,结果令人满意。     

熔融织构Y0．8Ca0．2Ba2Cu3Oy的电子比热

采用热驰豫方法在0到9T范围内测量了熔融织构Y0．8Ca0．2Ba2Cu3Oy的比热．零场下，2-180K的比热结果可以用Einstein模型来描述．通过4-Einstein峰拟合声子谱的方法，我们分别处理了不同磁场下超导转变附近的比热，获得了晶格比热和不同磁场下的电子比热，并将实验结果与London模型的计算结果进行对比，发现London模型能够很好地模拟出我们的实验结果．     

本征Josephson单结的电流-电压特性

采用光刻蚀和Ar离子刻蚀技术成功地在Bi-2212单晶表面制备出台阶型本征Josephson单个结，并在5-65K范围内用四引线法测量了该结零场下的Ⅰ～Ⅴ特征曲线．结果表明，临界电流几乎保持不变，但返回电流随温度增加而增大；与此同时，Mccumber参数βc随着温度增加而减小．临界温度附近，跳跃电压△V明显偏离BCS理论．     

Electrical Characterization of Metal-Insulator-Metal Capacitors with Atomic-Layer-Deposited HfO2 Dielectrics for Radio Frequency Integrated Circuit Application

Metal-insulator-metal （MIM） capacitors with atomic-layer-deposited HfO2 dielectric and TaN electrodes are investigated for rf integrated circuit applications. For 12nm HfO2, the fabricated capacitor exhibits a high capacitance density of 15.5fF/μm2 at 100kHz, a small leakage current density of 6.4 × 10^-9 A/cm^2 at 1.8V and 125℃, a breakdown electric field of 2.6 MV//cm as well as voltage coefficients of capacitance （VCCs） of 2110ppm/V^2 and -824 ppm/V at 100kHz. Further, it is deduced that the conduction mechanism in the high field range is dominated by the Poole-Frenkel emission, and the conduction mechanism in the low field range is possibly related to trap-assisted tunnelling. Finally, comparison of various HfO2 MIM capacitors is present, suggesting that the present MIM capacitor is a promising candidate for future rf integrated circuit application.     

非线型三原子分子势能面的Lie代数方法

利用Lie代数方法得到三原子分子的代数Hamiltonian ,通过对光谱数据的拟合确定其展开系数 ,再用相干态得到代数Hamiltonian的经典极限 ,从而得到三原子分子的势能面 .以H2 O分子为例进行了计算 ,其理论值与实验结果一致. The algebraic Hamiltonian for a triatomic molecule can be obtained by using dynamical Lie algebra method (the expansion coefficients are obtained by fitting spectroscopic data). Triatomic molecular potential energy surface (PES) is obtained by using coherent state to take the classical limits of algebraic Hamiltonian. This PES is applied to H 2O molecule, and the deduced force constant is in good agreement with the experimental data.     

Predicting lepton flavor mixing from Δ(48) and generalized C P symmetries

We propose to understand the mixing angles and C P-violating phases from the ?(48) family symmetry combined with the generalized C P symmetry. A model-independent analysis is performed by scanning all the possible symmetry breaking chains. We find a new mixing pattern with only one free parameter, excellent agreement with the observed mixing angles can be achieved and all the C P-violating phases are predicted to take nontrivial values. This mixing pattern is testable in the near future neutrino oscillation and neutrinoless double-beta decay experiments.Finally, a flavor model is constructed to realize this mixing pattern.     

场分析法与阻抗叠加方法在速调管输出腔间隙阻抗计算中的应用

 从分析速调管输出回路的电磁场分量入手,结合微波电路理论,提出了计算速调管输出回路间隙阻抗的场分析法。对于在谐振模式交叠频带上,群聚电子束电流同时与各模式的阻抗相作用,总阻抗是各模式阻抗的代数叠加的情况,提出了阻抗叠加方法。该方法原则上可求解任意给定间隙电阻所对应的间隙电抗值。计算表明,场分析法与等效间隙阻抗法计算结果最大相对误差为1.5％,阻抗叠加方法计算结果与冷测数据最大相对误差为10％。分析表明,多个谐振模式的引进是速调管输出腔加载滤波器展宽频带的物理实质。