Prolongation Approach to the Liouville Equation and Its Algebraic Structures

The Riccati type equation, the Biicklund transformation and the Lax pair of the Liouville equation are obtained by using the prolongation theory. It is shown that the prolongation structures generate the SL(2,R) Lie algebra.     

Quantum Bidirectional Secure Direct Communication via Entanglement Swapping

In light of a quantum secure direct communication （QSDC） scheme using entanglement swapping [Chin. Phys. Lett. 22 （2005）18], by introducing additional local operations for encoding, we propose a bidirectional QSDC （BQSDC） protocol, in which two legitimate users can simultaneously exchange their respective messages. The rule for the users to retrieve his/her partner＇s messages is derived explicitly in the most general case. Eve＇s commonly used attack method has been discussed and can be detected with the security checking process.     

基于改进的压缩式随机游走算法对静态电源/地网的模拟

将随机游走法和等效电路压缩相结合,对静态P/G网(Power and Ground Networks)进行分析.针对一个大规模的电路,在经过多层的参数提取和建模后,得到静态P/G网模型.首先根据网络的规律性,运用等效电路压缩法将原始的P/G网进行压缩处理,然后运用随机游走法求解,最后利用计算得到的化简网络电压值,通过相关的插值公式得到原网络的电压值.实验数据表明,改进的压缩式随机游走法可有效简化网络的复杂性,节省计算时间,计算速度提高到普通随机游走法的两个数量级以上.     

不同对流马赫数下光束畸变的实验研究

利用双曝光CCD相机成像技术,研究了小直径光束穿越可压缩混合层流场后所引起的气动光学效应.实验研究结果表明:在不同对流马赫数(Mc=0.17,0.45)下,光束投影(点扩散函数,PSF)发生了不同程度的变形和偏移.此外在不同对流马赫数下细光束投影都存在扩束、缩束和面积几乎不变的现象,但光束投影出现扩、缩束的概率不同.     

锗酸锌锰荧光体发光学与荧光瞬态衰减研究

制备一系列锗酸锌锰荧光体,并探讨其发光特性、瞬态荧光衰减与色度值与所掺杂锰离子含量之间的相互关系.本系列荧光体锰离子发射峰波长,随Mn²⁺含量由0增加0.05,由527nm红移至534nm.实验表明这可能与Mn²⁺所占据的四面体格位,遭扭曲而导致晶场强度变弱有关.本系列荧光体的CIE色度坐标值,则随所掺杂Mn²⁺含量,仅有微小改变.锗酸锌锰荧光体瞬态荧光衰减的研究结果表明:锗酸锌基质的衰减生命期在纳秒范围;随Mn²⁺掺杂量增加,在毫秒范围的锰离子荧光衰减生命期逐渐缩短.此现象可能与Mn²⁺-Mn²⁺离子对中,Mn²⁺的自旋交换相互作用有密切关系.     

基于熵条件二阶差分格式的嵌套网格分区算法

以带熵条件的二阶TVD格式为基本格式,设计了三维曲线坐标下的Euler方程数值计算方法.对多个物体使用分区嵌套网格设计了相应的分区算法.所建立的算法适用于处理物体相互分离以及相互接触的定常与非定常流动问题.给出了绕两圆柱的超声速流动在两圆柱处于不同位置时的详细结果,并模拟了装配鸭舵火箭弹在超声速旋转飞行时的气动特性.     

ON THE ACOUSTIC ABSORPTION OF MULTI-LAYER ABSORBERS WITH DIFFERENT INNER STRUCTURES

A rigorous finite element analysis procedure is developed to study the effect of the inner structures on the acoustic absorption of multi-layer absorbers. To do this, four types of basic inner structure compartments adopted in the multi-layer absorbers are selected for analysis. These compartments are composed of porous materials inlaid with perforated plates of various shapes, say, triangle, semicircle, convex rectangle and plate shapes. As it is different from the conventional finite element analysis for the acoustic system in the literature, the perforated plates are simulated by appropriate equivalent boundary conditions, depending on their thickness, hole radius, hole pitch and porosity and the air contained in the holes. A large number of total degrees of freedom generated from meshing the air in the holes of perforated plates are thus avoided. The results reveal that the inner structures of the multi-layer absorbers will influence the acoustic absorption at some frequency bands significantly. Based on those features, the multi-layer absorber with a novel inner structure is then designed and manufactured. Both the finite element and experimental results show that its acoustic absorption would be distinctly promoted.     

Periodic solutions of Wick-type stochastic Korteweg–de Vries equations

Nonlinear stochastic partial differential equations have a wide range of applications in science and engineering. Finding exact solutions of the Wick-type stochastic equation will be helpful in the theories and numerical studies of such equations. In this paper, Kudrayshov method together with Hermite transform is implemented to obtain exact solutions of Wick-type stochastic Korteweg–de Vries equation. Further, graphical illustrations in two- and three-dimensional plots of the obtained solutions depending on time and space are also given with white noise functionals.     

暗物质理论研究进展

评述了天体物理中暗物质的发现以及标准模型所面临的问题,综述了解决这些问题及标准模型之外可能出现的新物理与暗物质的联系。介绍了暗物质粒子选择条件和可能的暗物质粒子的候选者;对圆柱形暗物质表面密度与星系和星系团暗物质晕的晕核半径的关系进行了讨论,与其他模型进行了比较,得出暗物质晕的特征半径r_*的暗物质表面密度分布不是一个普适量;并叙述了近几年暗物质研究中提出的新理论模型-Hidden dark matter,最后叙述了中国暗物质实验探测研究的进展,2016年底DAMPE的第一批数据有可能给出;中国锦屏地下实验室（CJPL）的CDEX和PandaX合作组的第一期实验没有发现暗物质粒子存在的信号,期待他们下期的实验。A review of the evidence of the dark matter found in universe and the problems faced by the standard model. To address these issues as well as the possible relationship between the new physics beyond the standard model and dark matter, and given the selection condition of dark matter and possible candidates of the weakly-interacting massive particles (WIMPs). The correlation between the column surface density and the halo core radius of the dark matter halos of galaxies and cluster of galaxies is discussed, and the other models are compared. We find that the surface density within the halo characteristic radius r* is not an universal quantity; The new model (hidden dark matter)proposed in the study of dark matter is described. At last, the research progress of dark matter experiment in China is commented. At the end of 2016, the first batch of DAMPE data may be given;No significant excess events of WIMPS were found in the first stage of both the CDEX and PandaX experiments located in the China Jinping Underground Laboratory(CJPL). Look forward to their the next stage of these experiments in CJPL.     

热丝CVD沉积金刚石薄膜时的等离子体空间分布研究

采用热丝化学气相沉积(chemical vapor deposition,CVD)的方法,以丙酮为碳源生长金刚石薄膜时,利用等离子体发射光谱对生长过程中的等离子体空间分布进行了在线诊断。采用SEM,Raman光谱分别对沉积金刚石膜表面、断面的形貌和质量进行表征。光谱分析表明,对于线性阵列布丝情况下,中心区域与边缘区域的基团分布存在差异,中心区温度高,裂解能力强,基团强度高于两边,但中心区域基团特征峰强度的变化比等离子球平缓的多;距离热丝越远,热辐射减小,从丙酮分子中裂解出CH和CO等基团以及由原子H激发的H_β与H_α等强度降低,反而使得复合生成的C₂基团增加。SEM测试结果表明,当丝基间距为4.5,5.5,6.5 mm时,所沉积的金刚石薄膜表面由致密规则晶面向混乱转变,且单位时间内的生长速率也依次降低,此外,Raman光谱表明随着纵向间距的加大,金刚石薄膜的质量随之降低。这与诊断结果中CH和CO强度的降低,C₂基团强度增加及基团C₂/H_α比强度下降相吻合。