聚(碳酸丁二醇酯-co-异山梨醇碳酸酯-co-螺环碳酸酯)的制备与性能研究

通过两步熔融缩聚法合成了一系列基于碳酸二苯酯、1,4-丁二醇、异山梨醇和螺二醇的三元共聚碳酸酯（PBISC），其结构和组成经¹H NMR和¹³C NMR表征，并采用GPC、 TGA、 DSC、 WXRD和拉伸试验分别对PBISC的性能进行研究。结果表明：PBISC共聚物的玻璃化转变温度为63~72 ℃，T_d，max值接近350 ℃， PBISC共聚物具有较低的结晶性能。     

可积反对称Duhem迟滞系统在非白噪声激励下的随机响应分析

运用随机平衡法，研究可积反对称Duhem迟滞系统在非白噪声激励下的随机响应根据能量等价性，将Duhem迟滞系统转化成非迟滞的非线性系统；再运用随机平均法，导出关于系统能量It^O随机微分方程与相应的FPK方程；求解该方程得到平稳概率密度，从而可计算响应统计量。通过例子分析表明，本文方法的结果与数字模拟非常吻合。     

基于跳跃、好坏波动率和马尔科夫状态转换的高频波动率模型预测

基于跳跃、好坏波动率的视角,采用比ABD检测更稳健的ADS检测法进行甄别跳跃,提出HAR改进模型,进一步考虑到实际波动率的非线性和高持续性动态,文章引入马尔科夫状态转换机制以构建对应的MRS-HAR族模型,推导其参数估计方法,并运用滚动时间窗预测技术和MCS检验评估预测模型结果,并采取不同的窗口期进行稳健性检验.以上海期货交易所的黄金连续(AU0)期货合约为研究对象,实证研究表明:结合马尔科夫状态转换机制,跳跃波动在上涨行情时会抑制未来波动性;结合马尔科夫状态转换机制,好坏波动率在上涨行情时正负冲击相对平衡,而在下跌行情时好(坏)波动率抑制(加剧)未来波动性;MCS检验证实,结合马尔科夫状态转换的MRS-HAR族模型相比于HAR族模型具有更优的预测精度,进一步考虑由ADS检测修正的好坏波动率和符号跳跃能够改善波动率模型的预测能力,其中基于符号跳跃和马尔科夫状态转换的MRS-HAR-RV-SJ模型展现了最高的预测精度.     

带跳的分数维Brown 运动幂变差的渐近行为

本文研究了X_t = B^H_t + ξ_t 现实幂变差的渐近理论, B^H 为Hurst 指数为H∈(0,1) 的分数维Brown 运动,ξ为与B^H独立的非Gauss Lévy 过程, 我们给出了其大数定律, 以及经适当中心化的中 心极限定理, 这些结果将为处理具有长期记忆跳过程的统计问题提供理论基础.     

矩阵序列的有理外推法

基于矩阵的广义逆,本文给出了关于矩阵序列加速收敛的三个有理外推方法.它们包括:(i)基于广义逆的矩阵Pade逼近[4];(ii)矩阵Epsilon算法;(iii)矩阵Aitken △~2-算法。对三种方法之间的内在联系进行了讨论。关于Markov过程的一个实例给出以说明本文的结果。     

Optimal quantum parameter estimation of two-qutrit Heisenberg XY chain under decoherence

Adopting the Milburn decoherence model, we investigate the performance of quantum Fisher information of the twoqutrit isotropic Heisenberg XY chain under decoherence. We find that the quantum Fisher information with respect to the decoherence rate and the magnetic field decreases exponentially in the long-time limit, which significantly reduces the precision of optimal quantum estimation. We also show that with the increase of the decoherence rate or the magnetic field,the QFIs go down considerably. Furthermore, we find that the precision of optimal quantum estimation can be enhanced by the entanglement in the input state.     

五爪金龙、骨碎补的红外光谱分析

本文首次采用傅里叶变换红外光谱仪测定了云南当地的药材五爪金龙、骨碎补的红外光谱图,并对其进行了分析研究.通过对比,知两药材的红外光谱图非常相似,进一步对两药材的吸收峰分析,根据各种化学键和官能团振动所引起的吸收峰形状和范围,判断推理出两药材含有共同的物质:挥发油、苷类、三萜类化合物、糖类、脂肪等.此分析为两药材续伤止痛...     

First-Principle Studies on Conductive Behaviors of P-Type ZnO Codoped by N and B

Using a first-principle method, the electronic structures and the impurity formation energy of ZnO, ZnO （N）, ZnO （N＋B）, and ZnO （2N＋B） have been calculated, based on which the feasibility to obtain p-type ZnO ＆ discussed. According to the results, when ZnO is single doped by N, the acceptor level is deep, and the formation energy is negative, so the ideal p-type ZnO can not be obtained by this way. On the contrary, when 2N＋B are codoped into ZnO, the acceptor level becomes much lower, and the formation energy is positive, so it is a better way to obtain p-type ZnO.     

复合体系方法测量液体力学谱

本文介绍了采用复合体系,测量得到凝聚态物质从固态到液态连续变化力学谱的一种新的实验方法.以簧振动为例,给出了解析的计算公式,以及应用条件.通过进一步综合分析,得到具有更广应用范围的近似公式,可以近似应用于其他不同的振动模式,如低频扭摆.应用新的测量方法,给出了典型小分子玻璃材料甘油和碳酸丙稀从玻璃态到液态的力学谱,观察到甘油和碳酸丙稀玻璃化转变、碳酸丙稀的再结晶、熔化和挥发的过程;测量得到挥发过程中水的质量随时间精确变化的曲线.最后,本文给出了新方法的一些应用展望.     

PM567-Doped solid dye lasers based on PMMA

Polymers are a kind of attractive hosts for laser dyes due to their high transparency in both pumping and lasing ranges and superior optical homogeneity. In this paper solid dye samples based on polymethyl methacrylate (PMMA) doped with different concentrations of 1, 3, 5, 7, 8 -pentamethyl-2, 6-diethylpyrromethene-BF$_{2 }$ (PM567) are prepared. The absorption, fluorescence and lasing spectra of the samples are obtained. Wide absorption and fluorescence bands are obtained and a red shift of the maxima of the lasing emission spectra is observed. With the second-harmonic generation of Q-switched Nd:YAG laser (532\,nm, $\sim $20\,ns) pumping the samples longitudinally, the slope efficiencies of the samples are obtained. There is an optimal dye concentration for the highest slope efficiency when the pumping energy is lower than some typical value ($\sim $250\,mJ), and the highest slope efficiency 35.6{\%} is obtained in the sample with a dye concentration of $2\times10^{ - 4}$\,mol/L. Pumping the samples at a rate of 10Hz with a pulse energy as high as 200\,mJ (the fluence is 0.2\,J/cm$^{2})$, the output energy drops to one-half of its initial value after approximate 15500 pulses and the normalized photostability is 5.17\,GJ/mol. A kind of solid dye laser which could have some applications is built.