Lorenz吸引子的微观结构

轨迹保稳降维是一种分析高维非线性系统稳定性的方法。其要点是先在高维空问中求取轨迹；再将F轨迹映射为n-1个R^2映像，并在变换中严格保持感兴趣的稳定特性：分析各映像轨迹的稳定性：最后聚合为原轨迹特性的描述。本文按此分析Lorenz吸引子的结构稳定性。例如，将其中的z变量处理为时变参量后，(x,y）子系统成为时变的线性2维系统，可得分岔集{zcr}及奇点特性沿z轴的变化规律。故对于特定的轨迹(x,y,z），可将其在各坐标平面上的投影轨迹分成短线段的有序队列，各相邻线段对应于特性不同的奇点，从而揭示Lorenz吸引子全局分岔的精细结构及其通往高维混沌的道路。     

凝聚态物质振动-平动能量弛豫过程的分子动力学模拟

本文利用分子动力学计算机模拟方法,研究了稠密态双原子分子振动-平动弛豫速率与分子离解能、密度和温度的关系。发现振动弛豫速率随着分子离解能的增高而下降。这一现象与由光谱数据得到的结果是一致的。它可以用振动频率的下降来解释;分子振动弛豫速率随密度增大而加快,在我们所作的范围内,似乎看不到弛豫速率与温度有关。     

Ultra-longer fiber cantilever taper for simultaneous measurement of temperature and relative humidity

An ultra-longer fiber cantilever taper for simultaneous measurement of the temperature and relative humidity (RH) with high sensitivities was proposed. The structure was fabricated by using the simple and cost-effective method only including fiber cleaving, splicing, and tapering. The length of the cantilever taper is about 1.5 mm. The dip A and dip B were measured simultaneously, owing to the ultra-long length and super-fine size, the temperature sensitivities of the dip A and dip B reached as high as 127.3 pm/℃ and 0 pm/℃ between 25 ℃ and 50 ℃, and the RH sensitivities are -31.2 pm/% RH and -29.2 pm/% RH with a broad RH interval ranging from 20% RH to 70% RH. Besides, the proposed structure showed good linearity in the sensing process and small temperature crosstalk. It will be found in wide applications in environmental monitoring, food processing, and industries.     

Reference-frame-independent quantum key distribution of wavelength division multiplexing with multiple quantum channels

Reference-frame-independent quantum key distribution (RFI-QKD) can allow a quantum key distribution system to obtain the ideal key rate and transmission distance without reference system calibration, which has attracted much attention. Here, we propose an RFI-QKD protocol based on wavelength division multiplexing (WDM) considering finite-key analysis and crosstalk. The finite-key bound for RFI-QKD with decoy states is derived under the crosstalk of WDM. The resulting secret key rate of RFI-QKD, which is more rigorous, is obtained. Simulation results reveal that the secret key rate of RFI-QKD based on WDM is affected by the multiplexing channel number, as well as crosstalk between adjacent channels.     

基于耦合声场建模的膨胀腔消声器声学性能分析及试验

针对圆柱形膨胀腔消声器三维建模及声学性能分析问题, 提出一种基于切比雪夫变分原理的耦合声场建模方法, 建立三维圆柱形膨胀腔消声器理论模型并搭建试验台架, 传递损失试验结果验证了理论模型的准确性. 将膨胀腔消声器内部声场分解为多个子声场, 基于子声场间压力与质点振速连续性条件, 推导声场耦合变分公式, 构建子声场拉格朗日泛函. 将子声场声压函数展开为切比雪夫-傅里叶级数形式, 通过瑞利-里兹法求解膨胀腔消声器频率、声压响应及传递损失. 计算并对比分析扩张比、扩张腔长度、进出口管偏置对膨胀腔消声器消声性能的影响. 结果表明: 扩张比增大会有效提高消声器在低频段的消声性能, 进出口管的偏置对消声器消声性能影响很小.     

2,9-二甲基菲咯啉Cu(Ⅰ)和Cu(Ⅱ)配合物的合成、晶体结构和性质

以二水合氯化铜,2,9-二甲基菲咯啉（dmphen）和硫氰酸铵为原料,通过沉淀反应和N,N-二甲基甲酰胺（DMF）重结晶得到了2个新型配合物[Cu（Ⅰ）（dmphen）（SCN）]_n（1）和[Cu（Ⅱ）（dmphen）（DMF）（SCN）₂]（2）,并采用元素分析、红外光谱、紫外可见光谱、X射线单晶衍射、热重分析及荧光光谱对其进行了表征。结果表明：1属单斜晶系,P2₁/n空间群,晶胞参数为a=1.211 1（4）nm,b=0.826 2（2）nm,c=1.367 5（4）nm,β=96.502（5）°,V=1.359 5（7）nm³,Z=4;该配合物通过硫氰酸根的桥联作用形成了一维Z链结构。2为三斜晶系,P1空间群,晶胞参数a=0.943 6（2）nm,b=1.010 9（2）nm,c=1.219 0（3）nm,α=95.628（4）°,β=103.114（4）°,γ=107.087（4）°,V=1.065 4（4）nm³,Z=2;2通过C-H…S氢键和π-π堆积构筑成一个超分子网络结构。热重和荧光分析表明：1比2具有更高的热稳定性,且1在603 nm处有最强荧光发射强度。