Matone's Relation ofN =2 Super Yang-Mills and Spectrum of Toda Chain

InN=2 super Yang-Mills theory, the Matone's relation relates instanton corrections of the prepotential to instanton corrections of scalar field condensation <
Trφ²>. This relation has been proved to hold for Omega deformed theories too, using localization method. In this paper, we first give a case study supporting the relation, which does not rely on the localization technique. Especially, we show that the magnetic expansion also satisfies a relation of Matone's type. Then we discuss implication of the relation for the spectrum of periodic Toda chain, in the context of recently proposed Nekrasov-Shatashvili scheme.     

Oscillating multidromion excitations in higher-dimensional nonlinear lattice with intersite and external on-site potentials using symbolic computation

We show by an extensive method of quasi-discrete multiple-scale approximation that nonlinear multi-dimensional lattice waves subjected to intersite and external on-site potentials are found to be governed by (N +1)-dimensional nonlinear Schro¨dinger (NLS) equation. In particular, the resonant mode interaction of (2+1)-dimensional NLS equation has been identified and the theory allows the inclusion of transverse effect. We apply the exponential function method to the (2+1)-dimensional NLS equation and obtain the class of soliton solutions with a purely algebraic computational method. Notably, we discuss in detail the effects of the external on-site potentials on the explicit form of the soliton solution generated recursively. Under the action of the external on-site potentials, the model presents a rich variety of oscillating multidromion patterns propagating in the system.     

Quantum Entanglement of Many Distant Bose-Einstein Condensates in an Optical Lattice by Interference

We propose a scheme to generate maximally entangled states of two distant Bose-Einstein condensates, which are trapped in different potential wells of a one-dimensional optical lattice. We show how such maximally entangled state can be used to test the Bell inequality and realize quantum teleportation of a Bose-Einstein condensate state. The scheme proposed here is based on the interference of Bose-Einstein condensates leaking out from different potential wells of optical lattice. It is briefly pointed out that this scheme can be extended to generate maximally entangled Greenberger-Horne-Zeilinger (GHZ) states of 2m (m >1) distant Bose-Einstein condensates.     

一种模拟气液两相流的格子波尔兹曼改进模型

基于格子波尔兹曼自由能模型,提出了一种模拟黏性流场中大密度比气液两相流的改进模型. 为了提高模型的精度,在原始模型的基础上计入了邻近点间粒子数密度的传递速率控制,考虑了碰撞项的差分松弛;为了避免两相间大密度比造成的数值不稳定问题,分别采用六点和九点差分格式求解?和?2. 同时,与传统格子波尔兹曼方法不同,实现了由单步碰撞操作到两步操作的转化. 通过对无重力场中气泡的模拟及与已有模型的计算结果的对比分析,表明该模型具有更高的数值精度. 成功模拟了重力作用下,单个上浮气泡的形变和尾涡形成过程,以及水平和竖直方向上两个气泡的相互作用过程,并验证了其质量守恒和体积不可压缩性.      

紫外成像器件光电阴极封接焊料熔层缺陷对气密性的影响

为解决紫外成像器件光电阴极与管体封接漏气问题,对管体InSn合金熔化过程中出现的质量问题进行了深入分析,找出焊料熔层缺陷主要来源于对焊料除气不彻底和基底表面氧化及设备油污染。通过优化工艺参数,改进工艺质量和把化铟设备管体搁置焊料熔化改为浇铸熔化,使管体焊料熔化合格率达到了100%,光电阴极与管体封接气密性成品率达到98%。     

一种眼镜镜片缺陷自动化检测系统的研究

根据光散射原理和视觉检测的方法,研究开发了一种基于机器视觉的眼镜镜片缺陷自动化检测系统,对眼镜镜片进行图像获取、简单的图像处理与分级、分拣,实现对镜片的分类。系统采用并行机构运行,利用低角度前向照明方式获得了镜片表面和内部的斑、杂质、羽毛等缺陷图像;利用归一算法进行图像处理与分级,得到不同缺陷的识别信息。实验结果表明,系统能够检测出镜片中含有的所有缺陷,每个镜片的平均检测时间控制在2 s以内,检测精度为0.038 mm。     

Simple lattice Boltzmann approach for turbulent buoyant flow simulation

In the present work, a simple large eddy simulation （LES）-based lattice Boltz- mann model （LBM） is developed for thermal turbulence research. This model is validated by some benchmark tests. The numerical results demonstrate the good performance of the present model for turbulent buoyant flow simulation.     

波尔兹曼数字岩芯致密砂岩渗透率研究

致密砂岩渗透率在油气勘探开发、地应力测量及水库地质灾害等领域具有重要意义,但鉴于目前实验技术局限性,温压耦合渗透率测量尚无法通过实验手段实现. 在已有研究工作基础上,首次建立了基于D3Q27数字岩芯模型,并计算了高温压耦合低渗砂岩渗透率问题. 首先,以鄂尔多斯盆地某油田延长组致密砂岩为例,利用X射线CT断层成像技术岩芯获取10μm, 5μm, 2μm分辨率致密砂岩内部结构数据,应用基于量子力学第一性原理的D3Q27格子波尔兹曼数字岩芯模型建立数值模型. 进而,利用自编3DLBM程序分别计算了不同分辨率渗透率随围压(0～200MPa)、孔隙压(0～65MPa)和温度(25℃～180℃)变化规律,通过与Inc AUTOLAB2 000C岩石测试分析系统实验结果对比,验证了程序的可靠性,得到低渗砂岩断层最佳分辨率;最后,在并行CPU-GPU平台上计算了高温高压耦合(0℃～400℃, 0～1.4 GPa)下致密砂岩渗透率值及其各向异性随温压变化规律,并讨论了致密砂岩中水在达到超临界状态后对致密岩石内部结构的影响.     

A Lattice Hydrodynamic Model for Traffic Flow Accounting for Driver Anticipation Effect of the Next-Nearest-Neighbor Site

In this paper, a new lattice hydrodynamic model is proposed by incorporating the driver anticipation effect of next-nearest-neighbor site. The linear stability analysis and nonlinear analysis show that the driver anticipation effect of next-nearest-neighbor site can enlarge the stable area of traffic flow. The space can be divided into three regions: stable, metastable, and unstable. Numerical simulation further illuminates that the driver anticipation effect of the next-nearest-neighbor site can stabilize traffic flow in our modified lattice model, which is consistent with the analytical results.     

Stability of trapped Bose-Einstein condensates in one-dimensional tilted optical lattice potential

Using the direct perturbation technique,this paper obtains a general perturbed solution of the Bose-Einstein condensates trapped in one-dimensional tilted optical lattice potential. We also gave out two necessary and sufficient conditions for boundedness of the perturbed solution. Theoretical analytical results and the corresponding numerical results show that the perturbed solution of the Bose-Einstein condensate system is unbounded in general and indicate that the Bose-Einstein condensates are Lyapunov-unstable. However,when the conditions for boundedness of the perturbed solution are satisfied,then the Bose-Einstein condensates are Lyapunov-stable.