Intermediate processes and critical phenomena: Theory, method and progress of fractional operators and their applications to modern mechanics

From point of view of physics, especially of mechanics, we briefly introduce fractional operators (with emphasis on fractional calculus and fractional differential equations) used for describing intermediate processes and critical phenomena in physics and mechanics, their progress in theory and methods and their applications to modern mechanics. Some authors’ researches in this area in recent years are included. Finally, prospects and evaluation for this subject are made.     

惯性约束聚变装置中靶面光场特性的统计表征方法

在激光驱动的惯性约束聚变装置中,常采用多种束匀滑手段对焦斑的时空特性进行调控.光传输链路中涉及的光学元件众多、传输变换复杂,往往导致光传输模型复杂,且在运用衍射光学方法分析焦斑形态和特征时面临大量的数据处理和计算,致使出现计算量大、计算效率低等问题,亟需寻求快速而简便的新方法来描述焦斑的统计特征.本文利用光场特性的统计表征方法对靶面光场进行表征,采用圆型复数高斯随机变量直接描述靶面光场的统计特征,并基于典型焦斑评价参数对衍射光学方法和统计表征方法得到的远场焦斑进行了对比和分析.结果表明,采用衍射光学方法和统计表征方法获得的焦斑的瞬时特征基本一致,其时间积分的远场焦斑有所不同,但仍可进一步采用相关系数来表征其远场焦斑的时间变化特征.     

Resolution of Internal Total ReflectionScanning Near-field Optical Microscopy

In this paper, the probe-sample interaction equation based on Mie's scattering theory is derived, and the resolution of scanning near field optical microscopy is calculated numerically. The results show that the offset of far-field component to near-field component in total field plays an important role in the resolution and the size of samples also has influence on resolution.     

无创血液成分检测中基于VIP分析的波长筛选

自变量筛选是定量光谱分析领域的研究热点,简便且高效的自变量筛选方法不但可以降低分析计算量,提高分析精度,同时还可以减轻对仪器光谱分辨能力的依赖,降低分析成本。波长筛选也是光谱法无创血液成分检测研究的重要环节。动态光谱理论为血液无创检测提供了极佳的思路,但长期局限于使用宽带光源和高分辨率的光谱仪器,分析中需要大量波长限制了动态光谱法的进一步发展。为了去除冗余信息,使检测走向低成本化和集成化,提出了基于变量投影重要性(variable importance in projection,VIP)分析的波长筛选方法。通过分析PLS模型中各维自变量对因变量的解释能力,从而剔除重要性较低的变量保留解释能力强的波长。以232例受试者的临床实验数据为基础,以血红蛋白含量为分析对象,经投影重要性分析后将波长数由586降至64,波长筛选后血红蛋白预测模型的测试集平均相对误差(MREP)为1.82%,使用了极少的波长便可得到满意的结果;结合Bootstrap方法对模型进行显著性检验后验证了波长变量的解释能力。首次指出了使用动态光谱法检测血红蛋白的敏感波长带。基于投影重要性分析的波长筛选迈出了动态光谱走向实用的重要一步,为实现低成本在线分析打下了基础,同时也为其他领域的光谱分析提供了重要的参考和新的思路。     

A Feasible and Quantitative Encoding Method for Microbeads with Multicolor Quantum Dots

Multicolor encoded beads were achieved by incorporating two color core-shell quantum dots (QDs) (CdSe/ZnS) to commercial polystyrene (PS) beads. By controlling the concentration ratios of the two quantum dots (QDs) in doping solutions, a series of codes with different intensity ratios were obtained. Based on the multiple encoded carboxylic modified polystyrene beads, fluorescent dyes labeled antibodies were distinguished successfully on the beads’ surface. It suggests that the encoded beads from this method have the practicability in biological applications and chemical analysis. Hai-Qiao Wang and Zhen-Li Huang authors contribute equally to this work     

Quantum Correlations in Infinite XY Spin-1/2 Chains and Quantum Phase Transition

We examine the ability of quantum discord (QD) and entanglements (concurrence, EoF and negativity) to detect the critical points associated to quantum phase transitions (QPTs) for XY models, i.e., the isotropic XY model with three-spin interactions at zero temperature, and the anisotropic XY model in a transverse magnetic field h at finite temperatures. For the case of zero temperature, we found that both entanglements and QD can spotlight the critical points of QPTs for these two models. Moreover, QD versus distance M exhibits the long-range behavior of quantum correlation for the anisotropic XY model, while entanglement is short-ranged. For the case of finite temperatures, we found that negativity has the same behaviors with concurrence at or near transition points. Moreover, QD for the anisotropic XY model can increase with temperature even in the absence of a magnetic field.     

Investigation of Surface-Enhanced Raman Spectra of Human Gallstones on Colloidal Silver

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海南主要地域生咖啡豆挥发性化学成分对比研究

采用固相微萃取-气相色谱-质谱法(SPME-GC-MS)分析海南万宁地区咖啡豆和澄迈地区咖啡豆中挥发性化学组分,通过谱库检索、保留指数对化合物定性,比较两种咖啡豆之间差异。实验结果表明：万宁地区咖啡检出化合物种类91种,澄迈地区咖啡检出106种化合物,有66种相同的化合物,相同组分为75.52%。相同化合物中万宁地区咖啡占总含量的89.86%,澄迈地区咖啡占总含量的85.70%。     

Consensus problems of first-order dynamic multi-agent systems with multiple time delays

Consensus problems of first-order multi-agent systems with multiple time delays are investigated in this paper. We discuss three cases: 1) continuous, 2) discrete, and 3) a continuous system with a proportional plus derivative controller. In each case, the system contains simultaneous communication and input time delays. Supposing a dynamic multi-agent system with directed topology that contains a globally reachable node, the sufficient convergence condition of the system is discussed with respect to each of the three cases based on the generalized Nyquist criterion and the frequency-domain analysis approach, yielding conclusions that are either less conservative than or agree with previously published results. We know that the convergence condition of the system depends mainly on each agent’s input time delay and the adjacent weights but is independent of the communication delay between agents, whether the system is continuous or discrete. Finally, simulation examples are given to verify the theoretical analysis.     

频率调制对ICRH 天线阻抗匹配的影响研究

采用三支节液态调配器使离子回旋加热(ICRH)天线系统达到阻抗匹配,在阻抗匹配的条件下结合频率调制技术来减小由天线输入阻抗变化所引起的反射功率。数值模拟了频率调制前后天线负载与反射系数的变化关系,用来验证频率调制对ICRH 天线中阻抗匹配装置的影响。模拟结果表明：三支节液态调配器结合频率调制方法,能更好地降低天线传输系统的反射系数,使得发射机的功率通过天线辐射更加有效地耦合到等离子体中去。