Effect of the Initial Mass Function of Primaries on Binary Stellar Populations

Using evolutionary population synthesis technique, we explore the behaviour of the integrated U-B,B-V, V-R and R - I colours, the integrated spectral energy- distributions (ISEDs) and Lick/IDS absorption-line indices of instantaneous burst solar-metallicity binary stellar populations, as a function of the initial mass function (IMF)of primaries. It is found that the variation of the IMF of primaries produces a small effect on the integrated colours and the Lick/IDS indices, while a significant difference in the absolute ISEDs.     

Entangling Two Multi-atomic Clusters Through a Cavity Field

Two atomic clusters, which have NA and Ns two-level atoms, respectively, are placed in a cavity but separated spatially. There is no direct interaction between the atoms. All the atoms interact with a single-mode of the cavity field. Quantum entanglement between the two atomic clusters is investigated for various initial states of the two atomic clusters and the field. When the cavity field is initially in a Fock state, we find that the time evolution of entanglement quasi-periodically oscillates regardless of the initial states of atoms. The oscillation period increases as the initial photon number increases. When all the atoms in both of the atomic clusters are initially in the excited state, we show that there is no entanglement between the atomic clusters with NA = NB = 1 regardless the initial state of the cavity field. However, when either NA or NB is larger than one, we find that the entanglement always exists even for a strong thermal field. In cases with different initial states of the atomic clusters, we notice that the entanglement becomes stronger as number of the atoms increases. When all the atoms in both of the clusters in the ground state, we also find that the entanglement can be enhanced even by a thermal field. We also notice that a single qubit can be entangled with multi-atoms which are initially in the ground state by the cavity field initially being in vacuum, thermal, coherent, and squeezed states.     

NONLOCAL INITIAL PROBLEM FOR NONLINEAR NONAUTONOMOUS DIFFERENTIAL EQUATIONS IN A BANACH SPACE

The nonlocal initial problem for nonlinear nonautonomous evolution equati-ons in a Banach space is considered. It is assumed that the nonlinearities havethe local Lipschitz properties. The existence and uniqueness of mild solutionsare proved. Applications to integro-differential equations are discussed.The main tool in the paper is the normalizing mapping (the generalizednorm).     

在局部区域上的奇摄动反应扩散方程初始边值问题

本文是讨论一类在局部区域上的奇摄动反应扩散初始边值问题.利用算子理论和 不动点原理,得到了相应问题解的存在性和唯一性.     

葵花型索穹顶结构等效平面桁架静力计算方法

选取n次轴对称葵花型索穹顶结构的1/n,将空间轴对称结构等效为一次超静定平面桁架结构.给出了葵花型索穹顶结构撑杆不在同一径向上的内力和位移处理方法,推导了力法求解约束力的计算公式,提出了小变形时各点位移计算的位移传递矩阵和计算公式.最后,通过一个算例介绍了该方法的计算过程并与有限元计算结果进行了比较,内力和位移误差均在工程设计要求内,验证了方法的正确性和准确性.     

周期分布缺陷对韧性材料高应变率拉伸碎裂过程的影响

为研究初始缺陷对材料高应变率碎裂过程的影响,采用有限元方法模拟了具有周期性几何缺陷的韧性金属圆杆在高应变率拉伸过程中的碎裂现象。模拟结果表明:(1)与无初始缺陷的韧性杆件相比,具有一定幅值的初始缺陷的杆件在同等拉伸速度下发生断(碎)裂的时刻一般提前;(2)初始缺陷对碎片的尺寸和大小分布影响明显,在一定的应变率范围内,周期性缺陷完全控制了韧性材料碎裂过程中产生碎片的个数,可称这个碎裂过程为缺陷控制碎裂;(3)改变初始缺陷的空间间距和幅值,出现缺陷控制碎裂的应变率窗口将发生明显变化。进一步讨论了具有2种幅值的复合缺陷对拉伸碎裂过程的影响。     

单晶金刚石刀具后刀面沟槽磨损的石墨化生成过程分析

单晶金刚石刀具切削单晶硅时后刀面会发生剧烈沟槽磨损,严重影响零件加工质量和刀具寿命。为了从金刚石石墨化转变角度揭示沟槽磨损生长扩展机制,建立了金刚石刀具后刀面具有初始沟槽的分子动力学模型,模拟了切削单晶硅时初始沟槽处的工件材料流动行为与金刚石刀具晶体结构变化情况。结果表明,初始沟槽的存在改变了工件材料的流动状态;并且这种材料流动引起了刀具初始沟槽附近温度和能量的变化,温度升高了8%,势能提高了1.4%;通过分析金刚石刀具晶体结构发现,初始沟槽处的刀具材料发生了石墨化转变,并通过计算采样点处原子间键角,得到了石墨化转化率随着切削的进行不断升高,并最终趋于恒定的规律,当切削进入到稳定切削阶段时,石墨化转化率约为6%。