稳态Q-tensor液晶流的Liouville定理

研究了三维空间中稳态Q-tensor液晶流模型,并用试探函数方法证明了当速度场u\in L^{\frac{\mathrm{9}}{\mathrm{2}},\mathrm{\infty }}({\mathrm{R}}^{\mathrm{3}})?\stackrel{·}{H^{\mathrm{1}}}({\mathrm{R}}^{\mathrm{3}}),液晶的张量型序参量\mathit{Q}\in H^{\mathrm{2}}({\mathrm{R}}^{\mathrm{3}})时,该稳态系统只有零平凡解。     

基于稀疏分解的轨道移频信号去噪算法研究

随着我国铁路的高速发展,轨道移频信号的检测译码技术受到广泛关注;然而实际采集的轨道移频信号不可避免地会混入大量的背景噪声和干扰,因此译码前需要去噪以提高译码的准确性;提出一种基于稀疏分解的轨道移频信号去噪算法,利用移频信号特点构建过完备原子库,采用粗细二阶段匹配追踪算法实现移频信号的噪声去除;将文章算法应用到主流的ZPW-2000轨道移频信号中,结果表明,该算法具有比小波阈值、经验模式分解算法更好的去噪性能,能够有效地去除低信噪比移频信号的噪声,且去噪后译码信噪比可提高10 dB,另外,采用粗细二阶段原子搜索算法显著降低了匹配追踪的运算量,满足实时性要求。     

石墨烯谐振式力学量传感器研究进展

传统谐振式传感器的谐振敏感元件大多采用金属、石英晶体、硅等材料制成,但随着谐振式传感器朝着小型化、微型化、实用化的趋势发展,不但要求新型谐振子材料可进行微纳加工,还对其灵敏度和精度提出了更高的要求.石墨烯这种新型二维纳米材料,因具有出色的力学、电学、光学、热学特性,在谐振传感领域有着巨大的应用潜力和研究价值,因此基于石墨烯材料的力学量传感器有望在小型化、高性能和环境适应性等多方面超越硅基力学量传感器.本文针对石墨烯谐振式力学量传感器,介绍了石墨烯材料的基本性质、制备与转移方法,阐述了谐振式传感器的工作原理与应用特点,进而分析了关于石墨烯谐振特性优化与谐振器制备的理论与实验研究;在此基础上,重点总结了石墨烯谐振器在压力、加速度、质量等传感器领域的研究进展,梳理了石墨烯谐振式力学量传感器在薄膜转移、结构制备与激振/拾振等方面的技术问题,同时也明确了石墨烯在谐振传感领域的研究价值和发展潜力.     

Ultraviolet Luminescence in Mg0.12Zn0.88O Alloy Films

We investigate the origin of ultraviolet （UV） emission from Mg0.12 Zn0.88 O alloy thin films with a wurtzite structure fabricated on c-plane Al2O3 substrates by plasma assisted molecular beam epitaxy. At room temperature, the absorption edge and UV emission band of the Mg0.12Zn0.88O film shift to high-energy side compared with ZnO films. Temperature dependence of the photoluminescence spectra shows that the UV emission is composed of free exciton and neutral donor bound exciton emissions. Two-step dissociation processes of the UV emission are observed with the increasing temperature. The thermal quenching mechanism is attributed to the dissociation of the free exciton from the neutral donor bound exciton in the low temperature region and the dissociation of free electron and hole from the free exciton in the high temperature region.     

水母雪莲化学成分的研究（Ⅱ）

前文已报道从水母雪莲(Saussurea Medusa Maxim)中分得4种黄酮甙,本文报道另外6种化合物的分离和鉴定。 1 化合物Ⅰ—Ⅳ物化性质及分离鉴定 1.1 化合物Ⅰ 黄色结晶,m.p.:249～251℃,水解所得甙元鉴定为木樨草素,纸层析检出鼠李糖和葡萄糖。MS(FAB):m/z 595(M~++1),287(M~++H-葡萄糖基-鼠李糖)。化合物I与木樨草素的~(13)C NMR比较,C_6、C_8、C_(10)分别向低场位移1.1、1.0、1.8 ppm,而C,向高场移动     

Hexagonal Standing-Wave Patterns in Periodically Forced Reaction-Diffusion Systems

The periodically forced spatially extended Brusselator is investigated in the oscillating regime. The temporal response and pattern formation within the 2：1 frequency-locking band where the system oscillates at one half of the forcing frequency are examined. An hexagonal standing-wave pattern and other resonant patterns are observed. The detailed phase diagram of resonance structure in the forcing frequency and forcing amplitude parameter space is calculated. The transitions between the resonant standing-wave patterns are of hysteresis when control parameters are varied, and the presence of multiplicity is demonstrated. Analysis in the framework of amplitude equation reveals that the spatial patterns of the standing waves come out as a result of Turing bifurcation in the amplitude equation.     

Simulation of Helium Behaviour in Titanium Crystals Using Molecular Dynamics

The behaviour of helium in Ti crystals at 300 K has been investigated by means of the molecular dynamics. The study is focused on the influences of He-Ti interaction on the aggregation of helium atoms in the substrate. When a Born-Mayer potential is used to describe the He-Ti interaction, the He atoms are unable to cluster with each other due to the weak bridge barrier that cannot trap the helium atoms, Whereas using a He-Ti potential that is constructed by fitting the ab initio pairwise He-Ti potential, the clustering of He atoms can be observed. The results indicate that suitable He-Ti potential plays an important role in the formation of He clusters in metals. Moreover, it is noted that the shape of the formed He cluster is irregular, and the produced defect prefers to congregating on one side of the He cluster rather than spreading symmetrically around it.     

Effects of Substrate Temperature on Helium Content and Microstructure of Nanocrystalline Titanium Films

Helium-charged nanocrystalline titanium films have been deposited by HeAr magnetron co-sputtering. The effects of substrate temperature on the helium content and microstructure of the nanocrystalline titanium films have been studied. The results indicate that helium atoms with a high concentration are evenly incorporated in the deposited titanium films. When the substrate temperature increases from 60℃ to 350℃ while the other deposition＇parameters are fixed, the helium content decreases gradually from 38.6 at.% to 9.2at.%, which proves that nanocrystalline Ti films have a great helium storage capacity. The 20 angle of the Bragg peak of （002） crystal planes of the He-charged Ti film shifts to a lower angle and that of （100） crystal plane is unchanged as compared with that of the pure Ti film, which indicates that the lattice parameter c increases and a keeps at the primitive value. The grain refining and helium damage result in the diffraction peak broadening.     

探索:奏响数学美的乐章

这是一道在许多数学书刊可以轻易查到的习题:设a,b,c为两两不相等的有理数,求证:     

二阶Dirichlet问题的三维等参元逼近及其数值积分格式

本文研究了求解三维二阶Drichlet问题的四面体等参元逼近格式.基于对等参变换的细致估计,证明了格式的收敛性,并得到了H~1-误差的最优估计.为简化等参元的复杂计算,本文还构造了一种简单的数值积分格式,并证明了其收敛性.