Sexually Transmitted Diseases on Bipartite Graph

We study the susceptible infected-susceptible （SIS） epidemic model on bipartite graph. According to the difference of sex conception in western and oriental nations, we construct the Barabasi Albert Barabasi Albert （BA-BA） model and Barabasi-Albert Homogeneity （BA-HO） model for sexually transmitted diseases （STDs）. Applying the rate equation approach, the positive equilibria of both models are given analytically. We find that the ratio between infected females and infected males is distinctly different in both models and the infected density in the BA-HO model is much less than that in the BA-BA model. These results explain that the countries with small ratio have less infected density than those with large ratio. Our numerical simulations verify these theoretical results.     

Molecular Dynamics Study of Stability of Solid Solutions and Amorphous Phase in the Cu-Al System

The relative stability of fee and bcc solid solutions and amorphous phase with different compositions in the Cu-Al system is studied by molecular dynamics simulations with n-body potentials. For CU1-xAlx alloys, the calculations show that the fee solid solution has the lowest energies in the composition region with x 〈 0.32 or x 〉 0.72, while the bcc solid solution has the lowest energies in the central composition range, in agreement with the ball-milling experiments that a single bcc solid solution with 0.30 〈 x 〈 0.70 is obtained. The evolution of structures in solid solutions and amorphous phase is studied by the coordination number （CN） and bond-length analysis so as to unveil the underlying physics. It is found that the energy sequence among three phases is determined by the competition in energy change originating from the bond length and CNs （or the number of bonds）.     

Generation of Intense THz Pulsed Lasers Pumped Strongly by CO2 Pulsed Lasers

A theoretical method dealing with two intense laser fields interacting with a three-level molecular system is proposed. A discussion is presented on the properties of the solutions for time-independent and time-dependent absorption coefficients and gain coefficient on resonance for strong laser fields, based on analytic evaluation of the rate equations for a homogeneously broadened, three-level molecular system. The pump intensity range can be estimated according to the analytic expression of pump saturation intensity. The effects of pulse width, gas pressure and path length on the energy absorbed from pump light are studied theoretically. The results can be applied to the analysis of pulsed, optically pumped terahertz lasers.     

A Variational Iteration Solving Method for a Class of Generalized Boussinesq Equations

We study a generalized nonlinear Boussinesq equation by introducing a proper functional and constructing the variational iteration sequence with suitable initial approximation. The approximate solution is obtained for the solitary wave of the Boussinesq equation with the variational iteration method.     

含H-单调映象的完全广义非线性变分包含

引入和研究了一类新的完全广义非线性变分包含.在Hilbert空间中利用与H-单调映象相联系的预解算子的性质,对完全广义非线性变分包含建立了解的存在性定理和构造了一种新的迭代算法,证明了由此算法生成的迭代序列强收敛于精确解.其算法和结果是最近文献中相应算法和结果的改进和推广.     

两族解析函数的极值问题

定义了一族解析函数A(σ,α,β,μ)和拓广的Robertson函数族G(α,β,μ),讨论两族解析函数的极值问题,首先利用算子理论和借助一种变分法得到A(σ,α,β,μ)上F^rechet可导泛函所对应的极值函数.利用一阶微分从属证明,关于子类中函数的准确实部不等式,同时推出G(α,β,μ)的相应结果.     

三价镧系离子掺杂的Cd3Al2 Ge3O12的长余辉发光

系统地研究了三价镧系离子在Cd3Al2Ge3O12基质中的长余辉发光。总结了余辉性能与激活离子电负性的关系。研究发现该体系中易失电子的激活离子产生的余辉效果较好。在254nm紫外光激发下,基质和所有镧系离子(Pm除外)掺杂的样品都有发光和余辉。按照发光和余辉性质的不同可以将激活离子分为三类：Pr^3 、Tb^3 和Dy^3 等是有特征余辉发光的离子;Eu^3 和Sm^3 等是有特征发射,但没有特征余辉发光的离子;Ce^4 、La^3 、Nd^3 以及其他是没有特征发光的镧系离子。长余辉的产生是由缺陷引起的。由于Cd^2 离子在高温下容易挥发,基质中存在大量的Cd^2 离子空位,这种空位可以作为俘获电子的陷阱。同时为了补偿Cd^2 所产生的正电荷,在Cd^2 离子空位周围会有相应的负离子空位产生,比如氧离子空位。这种补偿作用的存在使得基质本身的缺陷种类和数量十分丰富,使得该体系的余辉性能比较优越。     

无限深量子阱中强耦合极化子的基态结合能

研究了无限深量子阱中极化子的基态性质,采用线性组合算符和变分相结合的方法导出了强耦合极化子的振动频率λ、基态能量E₀和基态结合能E_b,讨论了阱宽L和电子-LO声子耦合强度α对强耦合极化子的振动频率λ、基态能量E₀和基态结合能E_b的影响。通过数值计算,结果表明:强耦合极化子的振动频率和基态结合能随阱宽L的增大而减小,随电子-LO声子耦合强度α的增强而增大;基态能量随阱宽L的增大而减小,其绝对值随电子-LO声子耦合强度α的增强而增大;当量子阱阱宽L趋近于无限大和无限小两种极限情况下,分别与三维和二维极化子的结果相一致。     

机械合金化制备铝基非晶和纳米晶合金

综述了机械合金化制备纳米晶、非晶的研究进展,重点介绍了机械合金化制备铝基纳米 晶,非晶合金的研究现状。     

电热蒸发ICP-AES法测定ZrO2中Fe,Al和Ni

以聚四氟乙烯(PTFE)悬浮体为化学改进剂,采用原位分离基体电热蒸发电感耦合等离子体原子发射光谱法(ETV-ICP-AES)测定了二氧化锆中痕量杂质Fe,Al和Ni.考察了灰化温度、灰化时间、蒸发温度、基体浓度等因素对待测物信号强度的影响.在优化实验条件下,方法的检出限为4.2ng·mL-1(Al)～11ng·mL-1(Fe),相对标准偏差为3.1%(Al)～4.9%(Ni).