基于光子晶体的物质的量浓度测量研究

利用平面波展开法对二维光子晶体在H极化下的光子带隙进行数值计算。考虑了溶液温度和物质的量浓度对光子带隙的影响。结果表明,以半乳糖和木糖的水溶液作为空气孔中介质材料,当溶液物质的量浓度一定时,光子带隙随溶液温度的变化而改变;而当溶液温度一定时,光子带隙随溶液物质的量浓度发生变化。较高物质的量浓度和较高温度的溶液更容易形成光子带隙。在某些情况下,木糖的光子带隙大于半乳糖的光子带隙。     

A radiating Kerr-Newman solution

A non-static exact solution of Einstein’s equations corresponding to a field of flowing null radiation plus an electromagnetic field is presented. The geometry of the solution is described by the Kerr-Schild metric. The solution admits a shear-free, geodetic null congruence. It has the symmetry of the Kerr-Newman solution and when a certain parameter is put equal to zero the solution becomes static and reduces to the Kerr-Newman solution.     

蛋白质分子中生物能量传输基本方程椭圆波解的讨论

在庞小峰关于蛋白质分子能量传输基本方程的基础上,求出了该方程的另一类解析解－－椭圆皮解。并验证了孤子解的存在性。还获得了椭圆波解的质量、动量和能量表达工。     

在NaCl和HTAB共存条件下甲基纤维素溶液凝胶化行为

利用流变仪研究了甲基纤维素(MC)溶液在NaCl、十六烷基三甲基溴化铵(HTAB)以及两者共存下MC溶液的凝胶化行为,发现其凝胶化温度随着NaCl浓度的增加而下降,随着HTAB浓度的增加而上升;但是MC/NaCl的凝胶化温度保持不变,与HTAB浓度 无关,而MC/HTAB溶液的凝胶化温度则随着NaCl浓度的增加而下降．以上的实验结果表明,在NaCl存在下,HTAB将被诱导形成胶束,因此MC/NaCl的凝胶化温度保持不变;反之,当NaCl不存在时,HTAB将优先吸附到MC上而不会在溶液中形成胶束,尽管其浓度     

特解边界元法数值解三维Pennes方程及其应用

应用特解边界元法对非稳态的三维Pennes方程求解,将解分为一满足泊松方程的通解与一特解之和,通解按照边界元法求解,特解用分离变量法给出,与位置有关的部分采用截断多项式.逐时间段计算边界元的温度及热流值,然后计算域内点的值.并将该方法用于热疗温度场的数值实例计算.     

A NUT-like electrovac spacetime

A solution of the Einstein-Maxwell equations corresponding to source-free electromagnetic field is obtained. The solution is algebraically special. A particular case of the solution is considered which includes Brill’s solution. The details regarding the solution are also discussed.     

Various Kinds Waves and Solitons Interaction Solutions of Boussinesq Equation Describing Ultrashort Pulse in Quadratic Nonlinear Medium

The consistent tanh expansion (CTE) method is applied to the (2+1)-dimensional Boussinesq equation which describes the propagation of ultrashort pulse in quadratic nonlinear medium. The interaction solutions are explicitly given, such as the bright soliton-periodic wave interaction solution, variational amplitude periodic wave solution, and kink-periodic wave interaction solution. We also obtain the bright soliton solution, kind bright soliton solution, double well dark soliton solution and kink-bright soliton interaction solution by using Painlevé truncated expansion method. And we investigate interactive properties of solitons and periodic waves.     

密度矩阵重正化群的异构并行优化

密度矩阵重正化群方法（DMRG）在求解一维强关联格点模型的基态时可以获得较高的精度,在应用于二维或准二维问题时,要达到类似的精度通常需要较大的计算量与存储空间.本文提出一种新的DMRG异构并行策略,可以同时发挥计算机中央处理器（CPU）和图形处理器（GPU）的计算性能.针对最耗时的哈密顿量对角化部分,实现了数据的分布式存储,并且给出了CPU和GPU之间的负载平衡策略.以费米Hubbard模型为例,测试了异构并行程序在不同DMRG保留状态数下的运行表现,并给出了相应的性能基准.应用于4腿梯子时,观测到了高温超导中常见的电荷密度条纹,此时保留状态数达到10⁴,使用的GPU显存小于12 GB.     

高分子梯度溶液吸声机理的研究

制备了高分子均匀溶液和梯度溶液,并在声管中测试其声衰减性能.实验结果表明,高分子梯度溶液的声衰减效果明显优于(即大于)相应的均匀溶液的声衰减.根据连续分层介质中声波传播理论建立了计算高分子梯度溶液声衰减的数学模型.计算结果与实验结果一致.由实验和理论分析结果得出了高分子梯度溶液的梯度吸声机理,即多次反射、多次吸收,最终将声能转化为热能.     

Effect of ultrasound “Preinsonification” of solutions on the structuring of dried microdrop trails

The effect of ultrasound preinsonification of a solution on the kinetics and end result of the drying (evaporation) of a microdrop of this solution on a substrate was examined. The results of experiments with salt solution (NaCl) of albumin drops and of an alkaline (NaOH) solution drops are presented. It is shown that the morphology of the dried microdrop residual trail of a preinsonified solution differs noticeably compared to the microdrop trail of a solution that has not been insonified. The main reasons for the revealed effects are analyzed.     

The virtual mass of an oblate-ellipsoidal bubble

A semi-analytical solution is presented for the virtual mass coefficient of an oblate-ellipsoidal bubble rising in liquid. The solution was found to be a function of Weber number. The present solution compared well with the numerical solution of the lattice Boltzmann method and the analytical solutions of other investigators.     

一类非线性方程类孤波的近似解法

采用了一个简单而有效的技巧,研究了一类扰动发展方程.首先引入求解一个相应典型方程的类孤波近似解,然后利用泛函映射方法得到了原扰动发展方程的近似解,指出了近似解级数的收敛性,并用解析方法,讨论了近似解的精度.     

立方五次方非线性Schrodinger方程的动力学性质研究

采用辛算法数值求解了一维立方五次方非线性Schrödinger方程,研究了不同非线性参数下非线性Schrödinger方程的动力学性质.数值结果表明,随着立方非线性参数的增加,系统经历了拟周期状态、混沌状态和周期状态,且在五次方项的调制下,呼吸子解可以退化为单孤子解. 关键词： 非线性Schrödinger方程 动力学性质 孤子 辛算法     

会聚光在柱状模拟生物组织中的实验研究

在中空的柱状有机玻璃中充入Intralipid-10%溶液构成单层圆柱模拟样品.在会聚单色光入射Intralipid-10%溶液的情况下,利用特制的光纤探头、锁相放大器、斩波器和微动平台等组成测试装置,测量了柱状Intralipid-10%溶液内后向散射光、能流率的空间分布情况,并对测量结果进行分析.对参量不同的溶液中的光分布进行了比较,得出了柱状溶液中光分布的初步规律.     

Saturated Solution of PbSO4 as Standard Stock Solution and Its Applications in Analytical Spectroscopy: Screening Analysis of Lead in Natural Water and Usnea longissima

A saturated PbSO₄ aqueous solution, which was prepared by dissolving commercially available solid PbSO₄ in doubly distilled water, was employed as a standard stock solution of lead for the visual colorimetric determination of lead in water and atomic fluorescence spectrometric determination of lead in whole Usnea longissima (i.e., Methuselah's beard lichen). The concentration of lead in this saturated solution is theoretically calculated to 27.8 mg/L by using the solubility product constant of PbSO₄ at 25°C. The standard solution series is by further dilution of the saturated solution. A validation experiment proved the feasibility of using the saturated solution as the standard stock solution of lead. The experimental conditions, mainly the temperature, that affect the equilibrium of precipitation–dissolution in the saturated solution were investigated. The saturated PbSO₄ solution was proved to be accurate enough for the purpose of screening analysis of lead in these samples.     

Three-dimensional MHD flow over a shrinking sheet: Analytical solution and stability analysis

The magnetohydrodynamic(MHD) steady and unsteady axisymmetric flows of a viscous fluid over a two-dimensional shrinking sheet are addressed. The mathematical analysis is carried out in the presence of a large magnetic field. The steady state problem results in a singular perturbation problem having an infinite domain singularity. The secular term appearing in the solution is removed and a two-term uniformly valid solution is derived using the Lindstedt–Poincaré technique. This asymptotic solution is validated by comparing it with the numerical solution. The solution for the unsteady problem is also presented analytically in the asymptotic limit of large magnetic field. The results of velocity profile and skin friction are shown graphically to explore the physical features of the flow field. The stability analysis of the unsteady flow is made to validate the asymptotic solution.     

界面活性剂的混合添加对溴化锂溶液表面张力及吸收水蒸气的影响

本文从将两种有效添加剂混合添加的角度,来研究其对溴化锂水溶液吸收水蒸气的影响.采用静态池吸收实验测试溶液吸收水蒸气的效果.通过对正辛醇、仲辛醇、异辛醇、正己醇四种物质采用单种添加和两种混合添加的测试实验表明,混合添加后的效果与其中较好的添加剂单独添加的效果接近.采用吊板法测量溶液的表面张力.通过对添加以上混合添加剂后的溴化锂水溶液的表面张力的测试表明,混合添加后溶液的表面张力与其中较大程度降低溶液表面张力的添加剂单独添加后的表面张力接近.     

填料型绝热吸收器影响因素实验研究

为了研究绝热吸收器内溴化锂溶液降膜吸收水蒸汽传质强化过程,本文首先建立了溴化锂溶液降膜绝热吸收循环实验台,然后分析了喷淋溶液温度、喷淋溶液流量、喷淋溶液浓度和吸收压力等参数变化对吸收过程传质系数的影响,并得出有指导意义结论.     

滑移爆轰作用下飞板运动的解析解

 给出了滑移爆轰作用下飞板运动的近似解析解,应用其结果计算炸药滑移爆轰时飞板的运动,同实验结果和二维数值模拟计算结果吻合,表明该近似解析解具有较高的精度。解析解简洁,便于工程应用。     

Perfect-Fluid Sources for the Levi-Civita Metric II

A regular static interior solution of Einstein’s field equations representing a perfect fluid cylinder of finite radius is presented. The solution is matched to the Levi-Civita vacuum solution at a boundary where the pressure vanishes. The density and pressure are finite and positive inside the cylinder for a specific range of the mass parameter. The solution could thus represent a reasonable source for the Levi-Civita metric.