时变时滞粘弹性板方程的整体吸引子

本文研究内部反馈中具有历史和时变时滞的粘弹性板方程.首先利用Faedo-Galerkin方法证得方程在初边值条件下解的适定性定理;其次通过构造合适的能量泛函和Lyapunov泛函证明系统的梯度性;最后利用乘子泛函建立稳定不等式,证明系统的拟稳定性及渐近光滑性,从而得到整体吸引子的存在性,并证明了该吸引子具有有限分形维数.     

CaF2光学微谐振腔中基于光热振荡的热耗散率测量

通过测量光热振荡周期可以检测出CaF_2光学微谐振腔腔体与环境之间的热耗散率,然而多个振荡周期与热耗散率呈非线性关系,无法利用某个振荡周期值有效测量热耗散率。使用一种基于反向传播人工神经网络的传感数据测量模型,通过测量振荡周期值,实现了热耗散率的有效测量,优化了神经网络参数,提高了热耗散率测量精度。数值仿真结果表明,该方法可有效测量CaF_2光学微谐振腔的热耗散率,对实现基于光学微腔的热参量探测具有重要意义。     

Monogamy quantum correlation near the quantum phase transitions in the two-dimensional XY spin systems

We investigate the role of quantum correlation around the quantum phase transitions by using quantum renormalization group theory. Numerical analysis indicates that quantum correlation as well as quantum nonlocality can efficiently detect the quantum critical point in the two-dimensional XY systems. The nonanalytic behavior of the first derivative of quantum correlation is observed at the critical point as the size of the model increases. Furthermore, we discuss the quantum correlation distribution in this system based on the square of concurrence(SC) and square of quantum discord(SQD). The monogamous properties of SC and SQD are obtained. Particularly, we prove that the quantum critical point can also be achieved by monogamy score.     

Probe the 2s_(1/2) and 1d_(3/2) state level inversion with electron-nucleus scattering

The neutron-rich even-even nuclei26–40Mg,28–46Si,30–48S,and32–56Ar are calculated with the RMF model and the phase-shift electron scattering method.Results show that level inversion of the 2s1/2and 1d3/2proton states may occur for the magnesium,silicon,sulphur,and argon isotopes with more neutrons away from the stability line.Calculations show that the variation of the central charge densities for30–48S,and32–56Ar are very sensitive to the 2s1/2and 1d3/2proton state level inversion,and the level inversion can lead to a large measurable central charge depletion to the charge density distributions for the neutron-rich isotopes.Calculations also show that the charge density diferences between the isotopes with and without central charge depletion can reveal not only the level inversion of the 2s1/2and 1d3/2proton states but also the behavior of the proton wave functions of both states.The results can provide references for the possible study of the nuclear level inversion and nuclear bubble phenomenon with electron scattering of short-lived nuclei at RIKEN or/and GSI in the future.In addition,direct nuclear reaction44S(n,d)43P or44S(3H,α)43P might also be a possible way to study the 2s1/2and 1d3/2proton state level inversion.     

基于动态结构模型的两轮机器人平衡控制研究

针对无监督学习网络模型对于特定的映射空间,期望产生特定的影响具有一定的局限性,提出了有监督的可生长结构的动态结构模型;该模型将动态结构模型与径向基函数网络结构有机结合,采用的是需要时生长的自组织生长算法,通过插入新的神经元、改变竞争层神经元间的连接以及调整层与层的连接权值,达到模型输出的精度要求,有效地解决了在输入特定的网络数据时,能产生期望的输出;该模型应用于两轮平衡机器人的平衡控制,经过仿真实验表明,该动态结构模型能够实现对两轮平衡机器人的平衡控制,且有一定的抗干扰性和实用价值。     

Offner型成像光谱仪波长使用范围和光谱分辨率研究

研究了Offner型成像光谱仪消像差结构的参量和性能.用几何法推导出Offner型成像光谱仪的波长使用范围、系统线色散以及光谱分辨率的计算公式;在理想像差条件下,分析了Offner型成像光谱仪光谱分辨率与入射狭缝的宽度、凸面光栅分辨率和探测器像元尺寸各个因素之间的关系;探讨了提高光谱分辨率采用的方法和技术,解决了光谱仪的各个参量和光谱分辨率之间的矛盾.研究表明:当系统像差很小可忽略时,通过减小狭缝宽度,有利于提高光谱分辨率;Offner型成像光谱仪的分辨率由入射狭缝宽度、光栅和CCD像元尺寸三者中分辨本领最低的参量确定.     

显微拉曼光谱法对微量洗衣粉的区分检验研究

实际办案工作中,时常会涉及到对微量洗衣粉物证的检验鉴定。本文应用显微激光拉曼光谱分析技术对洗衣粉物证进行了检验研究。将所收集到的不同品牌的洗衣粉及同种品牌不同种类的洗衣粉样品采用显微激光拉曼光谱仪进行检测得到拉曼光谱图。通过谱图分析比较实现了对不同种类洗衣粉物证的快速无损区分检验。     

Chemical composition of the lunar surface from neutron leakage fluxes

The neutron leakage fluxes from the lunar surface are calculated by Monte Carlo transport code based on Geant4. The integral fluxes of fast neutrons, epi-thermal neutrons and thermal neutrons are analyzed. Numerical results for 20 kinds of lunar soils and 7 minerals show that the fast neutron fluxes are linearly related to the average atomic mass numbers of the lunar materials used in simulations. Meanwhile, the average atomic mass numbers are strongly modulated by the abundances of iron (Fe) and titanium (Ti), and a linear relationship between the average atomic mass numbers and the abundances of Fe and Ti is found. Furthermore, the results show that the ratios of epi-thermal to thermal fluxes for lunar soils are linearly related to the macroscopic absorption cross sections of lunar materials, and that the macroscopic absorption cross sections monotonically increase with the abundances of Fe and Ti by a simple function. Then we reach the conclusion that the neutron fluxes can provide the information about the Fe and Ti contents.     

Controllable entanglement sudden birth of Heisenberg spins

We investigate the Entanglement Sudden Birth (ESB) of two Heisenberg spins A and B. The third controller, qutrit C is introduced, which only has the Dzyaloshinskii-Moriya (DM) spin-orbit interaction with qubit B. We find that the DM interaction is necessary to induce the Entanglement Sudden Birth of the system qubits A and B, and the initial states of the system qubits and the qurit C are also important to control its Entanglement Sudden Birth.     

电子和原子核散射研究原子核结构(英文)

本文综述了近年来我们组利用电子散射结合相对论平均场模型对奇特核结构的研究。我们发展了相对论平均场框架下的磁电子散射方法,并用其研究一些中子晕及质子晕核的基态组态,例如,23O,17,19C和23Al。研究发现,原子核不同组态的弹性磁形状因子彼此差别很大。其次,我们发展了相对论平均场框架下的弹性库伦电子散射方法,并用该方法研究了奇特核的电荷分布。研究发现,丰质子核中扩展的电荷密度分布可以通过库伦电子散射来测量。这种方法还被进一步推广用于计算弹性宇称不守恒电子散射,研究了一些典型原子核的中子密度分布,例如,Ca同位素链,N=50同中子素链以及N=Z的双幻核。结果表明,宇称不守恒非对称度的振幅主要由质子和中子形状因子极小值之间的距离决定。这些结果为下一代电子-核对撞机上的电子散射实验提供了有用的参考。