收入不平等与中国国民福利增长:模型、方法与数据——基于效用主义的一个研究

自改革开放以来,中国的收入不平等日益加剧;然而收入不平等造成的国民福利损失以及收入不平等加剧对国民福利增长的影响却一直未能得到很好的评估,由此导致的注重效率忽视公平的发展模式并不能带来国民福利增长的最大化。本文以效用主义为理论基础,通过构建一个包含基尼系数的国民福利函数,严格证明收入不平等的负福利效应,并进一步给出计算收入不平等的福利损失公式以及收入不平等变化对国民福利增长影响的公式。数据计算表明,1996-2010年我国居民收入不平等的平均福利损失率为8.08%,收入不平等的绝对福利损失增长了1.44倍;而基尼系数增大对国民福利增长的相对影响是(-)8.66%。因此,在发展经济的同时必须致力于缩小收入不平等,兼顾公平与效率,方可实现国民福利增长的最大化。     

PbTiO3/SrTiO3(010)异质界面上的周期性失配位错及电子富集

It is important to determine the effects of misfit dislocations and other defects on the domain structure, ferroelectricity, conductivity, and other physical properties of ferroelectric thin films to understand their ferroelectric and piezoelectric behaviors. Much attention has been given to ferroelectric PbTiO₃/SrTiO₃ or PbZr_0.2Ti_0.8O₃/SrTiO₃ heterointerfaces, at which improper ferroelectricity, a spin-polarized two-dimensional electron gas, and other physical phenomena have been found. However, those heterointerfaces were all (001) planes, and there has been no experimental studies on the growth of (010) PbTiO₃/SrTiO₃ heterointerface due to the 6.4% misfit between two materials. In this study, we selected an atomically flat (010) PbTiO₃/SrTiO₃ heterointerface grown using a two-step hydrothermal method as the research subject, and this is the first experimental report on that interface. Interfacial dislocations can play a significant role in causing dramatic changes in the Curie temperature and polarization distribution near the dislocation cores, especially when the size of a ferroelectric thin film is scaled down to the nanoscale. The results of previous studies on the effects of interfacial dislocations on the physical properties of ferroelectric thin films have been contradictory. Thus, this issue needs to be explored more deeply in the future. This study used aberration corrected scanning transmission electron microscopy (STEM) to study the atomic structure of a (010) PbTiO₃/SrTiO₃ heterointerface and found periodic misfit dislocations with a Burgers vector of a[001]. The extra planes at the dislocation cores could relieve the misfit strain between the two materials in the [001] direction and thus allowed the growth of such an atomically sharp heterointerface. Moreover, monochromated electron energy-loss spectroscopy with an atomic scale spatial resolution and high energy resolution was used to explore the charge distribution near the periodic misfit dislocation cores. The fine structure of the Ti L edge was quantitatively analyzed by linearly fitting the experimental spectra recorded at various locations near and at the misfit dislocation cores with the Ti³⁺ and Ti⁴⁺ reference spectra. Therefore, the accurate valence change of Ti could be determined, which corresponded to the charge distribution. The probable existence of an aggregation of electrons was found near the a[001] dislocation cores, and the density of the electrons calculated from the valence change was 0.26 electrons per unit cell. Based on an analysis of the fine structure of the oxygen K edge, it could be argued that the electrons aggregating at the dislocation cores came from the oxygen vacancies in the interior regions of the PbTiO₃. This aggregation of electrons will probably increase the electron conductivity along the dislocation line. The physics of two-dimensional charge distributions at oxide interfaces have been intensively studied, however, little attention had been given to the one-dimensional charge distribution. Therefore, the results of this study can stimulate research interest in exploring the influence of the interfacial dislocations on the physics of ferroelectric heterointerfaces.     

储氢长管拖车隧道燃爆事故演化机理研究

储氢长管拖车在城市公路隧道运输时突发异常状况将导致氢气泄漏和燃爆事故,本文通过构建储氢长管拖车隧道事故模型,基于隧道内氢气泄漏浓度、冲击波和温度场等特性参数分析,阐明燃爆事故演化规律和毁伤机理。研究表明,泄漏氢气在隧道口呈竖向羽流扩散,而隧道内扩散时会在一定区域积聚。氢气燃爆处驻留车辆和设备构成边界约束条件,将增强爆炸冲击波的传播速度和峰值超压。此外,冲击波与火焰形成耦合效应,进而增强了破坏后果。     

矩形平底渠道淹没水跃区的水头损失

研究了矩形平底明渠淹没水跃区的水头损失。根据Rajaratnam对淹没水跃区的流速分布、壁面切应力、最大流速的试验成果和Verhoff附壁射流区断面流速分布的计算公式,应用紊流边界层理论研究了淹没水跃区的边界层发展和沿程水头损失的计算方法。根据动量方程和能量方程研究了淹没水跃区的跃前断面水深、总水头损失、局部水头损失、消能率的计算方法。给出了淹没水跃区最大流速、紊流边界层厚度、沿程水头损失、总水头损失、局部水头损失、局部阻力系数、消能率的计算方法。研究表明:淹没水跃区的总水头损失是跃前断面弗劳德数、跃前水深和淹没度的函数,沿程水头损失和局部水头损失与跃前断面流速、水深、水跃长度、跃前断面的特征雷诺数和消力池宽度有关。淹没水跃区的水头损失主要是局部水头损失,消能率随着弗劳德数的增加而增加。     

Effective Action for Noncommutative U（1） Gauge Theory with Higher Dimensional Terms

In this paper we apply the assumption of our recent work in noncommutative scalar models to the noncommutative U（1） gauge theories. This assumption is that the noneommutative effects start to be visible continuously from a scale ANC and that below this scale the theory is a commutative one. Based on this assumption and using background field method and loop calculations, an effective action is derived for noncommutative U（1） gauge theory. It will be shown that the corresponding low energy effective theory is asymptotically free and that under this condition the noncommutative quadratic IR divergences will not appear. The effective theory contains higher dimensional terms, which become more important at high energies. These terms predict an elastic photon-photon scattering due to the noncommutativity of space. The coefficients of these higher dimensional terms also satisfy a positivity constraint indicating that in this theory the related diseases of superluminal signal propagating and bad analytic properties of S-matrix do not exist. In the last section, we will apply our method to the noncommutative extra dimension theories.     

拓朴绝缘体研究的新进展

美国普林斯顿大学的一个研究组于2010年7月15日在《自然》（Nature466，343～34615 July 2010）杂志上面发表题为《拓扑表面态穿越表面障碍》（ Transmission of topological surface states through surface barriers）的文章．在文章中他们用可靠的实验数据给出了拓扑表面态穿越单晶锑材料原子尺度阶梯状表面障碍的传播规律，为研究拓扑绝缘材料的性质做出了重要的贡献．     

Revisiting Chiral Extrapolation by Studying a Lattice Quark Propagator

The quark propagator in the Landau gauge is studied on the lattice, including the quenched and the unquenched results. No obvious unquenched effects are found by comparing the quenched quark propagator with the dynamical one. For the quenched and unquenched configurations, the results with different quark masses have been computed. For the quark mass function, a nonlinear chiral extrapolating behavior is found in the infrared region for both the quenched and dynamical results.     

Intermediate Self-similar Solutions of the Nonlinear Schrodinger Equation with an Arbitrary Longitudinal Gain Profile

We study pulse propagation in a normal-dispersion optical fibre amplifier with an arbitrary longitudinal gain profile by self-similarity techniques. We show the functional form of the development of low-amplitude wings on the parabolic pulse, which are associated with the evolution of an arbitrary input pulse to the asymptotic parabolic pulse solution. It is found that for the increasing gain the amplifier output corresponding to the input Gaussian pulse converges to the asymptotic parabolic pulse solution more quickly than the output obtained with the input hyperbolic secant pulse, whereas for the decreasing gain the input pulse profiles have nearly no effect on the speed of convergence to the parabolic pulse solution. These theoretical results are confirmed by numerical simulations.     

Composite optical vortices in noncollinear Laguerre--Gaussian beams and their propagation in free space

Taking two Laguerre-Gaussian beams with topological charge 1 = ±1 as an example, this paper studies the composite optical vortices formed by two noncollinear Laguerre-Gaussian beams with different phases, amplitudes, waist widths, off-axis distances, and their propagation in free space. It is shown by detailed numerical illustrative examples that the number and location of composite vortices at the waist plane are variable by varying the relative phase β, amplitude ratio η, waist width ratio ξ, or off-axis distance ratio μ. The net topological charge lnet is not always equal to the sum lsum of charges of the two component beams. The motion, creation and annihilation of composite vortices take place in the free-space propagation, and the net charge during the propagation remains unchanged and equals to the net charge at the waist plane.     

在QCD中核子的静态性质

基于参数化的完全穿衣服的夸克传播子,利用量子色动力学（QCD）研究了核子的磁矩和电荷半径平方的平均值与夸克动量的依赖关系。预言的核子磁矩和电荷半径的数值与文献中广泛应用的经验值和其他许多具有QCD特征的理论模型所预言的值一致。结果说明了核子的磁矩和电荷半径不是人们通常所理解的一个不变的常数,而是依赖于核子中夸克动量的一个跑动量,对于不同动量它们的值是不同的。计算结果也清楚地表明了所采用的参数化的夸克传播子的适用性和可靠性。