Boundedness of semilinear Duffing equations at resonance in a critical situation

In this paper, we propose a sufficient and necessary condition for the boundedness of all the solutions for the equation $\ddot{x}+n^{2}x+g(x)=p(t)$ with the critical situation that $|{\int }_0^{2\pi }p(t)e^{?int}dt|=2|g(+\infty )?g(?\infty )|$ on g and p, where $n\in {\mathbb{N}}^{+}$, $p(t)$ is periodic and $g(x)$ is bounded.     

近紫外激发Gd2ZnTiO6∶Eu3+,Li+红色荧光粉的制备及荧光性能

采用溶胶-凝胶法成功制备出系列Eu³⁺掺杂和Li⁺、Eu³⁺共掺杂Gd₂ZnTiO₆红色荧光粉,并研究Li⁺、Eu³⁺掺杂对样品的晶体结构、微观形貌及发光性能的影响。结果显示,所制备的Gd₂ZnTiO₆∶Eu³⁺,Li⁺(GZT∶Eu³⁺,Li⁺) 荧光粉为双钙钛矿结构,属于单斜晶系(空间群:P2₁/n),大小为10 μm的无规则形状的颗粒。在395 nm近紫外光的激发下,GZT∶Eu³⁺的发射光谱展示出典型的Eu³⁺线状特征光谱,发射峰中心位于615 nm处,归属于Eu³⁺的⁵D₀→⁷F₂跃迁。Eu³⁺的最佳掺杂浓度为0.07(摩尔分数),样品显示明显的浓度猝灭效应,其机制为电偶极子-电偶极子(d-d)相互作用。此外,研究还发现,Li⁺掺杂对样品的晶体结构、微观形貌没有影响,但是一定量的Li⁺掺杂可以显著增强样品的荧光强度。当Li⁺浓度为0.05时,荧光粉发射主峰强度增强程度最大,提高至原来的4.3倍,说明通过Li⁺、Eu³⁺共掺杂可以获得高亮度的GZT红色荧光粉。GZT∶0.14Eu³⁺,0.05Li⁺荧光粉的CIE色坐标为(0.631 1,0.375 3)与标准红光色坐标(0.670,0.330)较为接近,是一种潜在的LED用红色荧光粉。     

Constructing the Co cyclic Structures for Crossed Copro duct Coalgebras

In this paper, we construct a cocylindrical object associated to two coal-gebras and a cotwisted map. It is shown that there exists an isomorphism between the cocyclic object of the crossed coproduct c...     

Structure,equation of state and elasticity of crystalline HNIW by molecular dynamics simulations

We have performed theoretical investigations on the structure, equation of state (EOS), elasticity, and mechanical properties of 2, 4, 6, 8, 10, 12-Hexanitrohexaazaisowurzitane (HNIW) energetic material by molecular dynamics (MD) simulations. The lattice parameters and equations of state of the four polymorphs (ε-, γ-, β-, and α-HNIW) under high pressure are calculated. Our calculated results agree with the previous experiments and theoretical calculations. Meanwhile, the elastic constants and some other mechanical properties of the most stable ε-HNIW under high pressure and temperature are predicted successfully.     

Two Bisupporting Keggin-Type POM-Based Hybrids Decorated by [Zn(phen)2]2+ Fragments

Two bisupporting Keggin-type polyoxoanion-based hybrids decorated by [Zn(phen)₂]²⁺ complexes, [Zn(phen)₂]₂(PW ₁₁ ^VI W^VO₄₀) (1) and K[Zn(phen)₂(H₂O)]₂(OH) (SiW₁₂O₄₀)·H₂O (2) (phen = 1,10′-phenanthroline), have been hydrothermally synthesized, and characterized by elemental analysis, IR spectra, UV–Vis spectrum, X-ray photoelectron spectroscopy (XPS), thermogravimetric analysis, and single-crystal X-ray diffraction. The structural analyses reveal that compound 1 consists of a 0D bisupporting Keggin-type heteropoly blue cluster obtained by using reductant glucose, which is grafted by two [Zn(phen)₂]²⁺ fragments; compound 2 presents a 1D infinite chain, which is constructed from bisupporting [SiW₁₂O₄₀]^4? polyoxoanions decorated by [Zn(phen)₂(H₂O)]²⁺ fragments and K⁺ ions. Additionally, the electrochemical behaviors of two compounds were studied.     

邻苯二甲酸二甲酯系材料中α-弛豫的降温介电谱测量与分析

对邻苯二甲酸二甲酯(dimethyl phthalate)、邻苯二甲酸二乙酯(diethyl phthalate)、邻苯二甲酸二丁酯(dibutyl phthalate)和邻苯二甲酸二异辛酯 (dioctyl phthalate)系列材料中, α-弛豫的降温介电谱进行了测量, 得出了相应材料α-弛豫的平均弛豫时间τ_α^a 随温度T的变化关系. 通过τ_α^a 的实验结果与经验的Vogel-Fulcher-Tammann)定律τ_α^a = τ_α⁰ exp (A/(T-T₀))的拟合, 获得了上述系列材料的τ_α⁰, A和T₀. 分析发现, 随邻苯二甲酸二甲酯系列分子侧链中碳原子数目n的变化, 材料的τ_α⁰, A, T₀ 和T_g 表现出一定的规律性, 具体为随n的增加, 即分子内部自由度的增多, A和T_g 都表现出近乎相同的先减后再增的趋势, 而1/τ_α⁰ 和T₀ 则表现出基本相同的先快速减小, 然后保持基本上不变的趋势. 关键词： 玻璃化转变 介电谱 α-弛豫')" href="#">α-弛豫 邻苯二甲酸二甲酯系列材料     

The exponential decay of a system of nonlinear wave equations

The exponential decay of a system of nonlinear wave equations with initial boundary values is considered. We have some sufficient conditions that ensure that the energy admits exponential decay by a compactness uniqueness argument and the energy estimates.     

MIT袋模型的一种束缚能跑动形式修正

最近,文献[1]在MIT袋模型的基础上引入了一种强耦合常数跑动形式和重夸克束缚能,较好地计算了所有已确认的基态强子谱。考虑到束缚能的贡献之一为重夸克间的短程束缚作用,即色电相互作用,其跑动形式将会取代之前的拟合参数。此跑动形式为类库仑势,随着袋半径R变化,并且在质量公式中参与变分。结果表明,色电相互作用的引入同样会将基态强子质量计算误差控制在大致40 MeV以内,且与拟合参数的方法相比得到了较为准确的结果。这为重夸克色电相互作用的研究提供了参考依据。     

A simple and effective boundary model in nonequilibrium molecular dynamics method

We propose a simple and effective boundary model in a nonequilibrium molecular dynamics (NEMD) simulation to study the out-of-equilibrium dynamics of polymer fluids. The present boundary model can effectively weaken the depletion effect and the slip effect near the boundary, and remove the unwanted heat instantly. The validity of the boundary model is checked by investigating the flow behavior of dilute polymer solution driven by an external force. Reasonable density distributions of both polymer and solvent particles, velocity profiles of the solvent and temperature profiles of the system are obtained. Furthermore, the studied polymer chain shows a cross-streaming migration towards center of the tube, which is consistent with that predicted in previous literatures. These numerical results give powerful evidences for the validity of the present boundary model. Besides, the boundary model can also be used in other flows in addition to the Poiseuille flow.