Convergence analysis of the Wolf method for Coulombic interactions

A rigorous proof for convergence of the Wolf method (Wolf et al., 1999 [9]) for calculating electrostatic energy of a periodic lattice is presented. In particular, we show that for an arbitrary lattice of unit cells, the lattice sum obtained via Wolf method converges to the one obtained via Ewald method.     

Impedance spectroscopy and investigation of conduction mechanism in BaMnO3 nanorods

BaMnO₃ nanorods were synthesized at 200 °C and atmospheric pressure using the composite-hydroxide mediated method. X-ray diffraction, scanning electron microscopy and energy dispersive X-ray spectroscopy were used to investigate the structure, size, morphology, phase purity and elemental composition of BaMnO₃ nanorods. Electrical characterization of BaMnO₃ pellet was performed at 300-400 K and in the frequency range 200 Hz-2 MHz. Temperature dependence of AC conductivity suggests that the BaMnO₃ pellet behaves as a semiconducting material and conduction across the pellet can be explained by the correlated barrier hopping model. Impedance analysis was performed using the equivalent circuit model (R₁Q₁C₁)(R₂C₂) and it suggests a single relaxation process in the BaMnO₃ pellet at a particular temperature. The analysis reveals that the BaMnO₃ pellet behaves like an n-type semiconductor material due to the presence of oxygen vacancies and some disorder. Modulus spectroscopy also supports the impedance results.     

Effect of substitution of K ions on the structural and electrical properties of nanocrystalline MgAl2O4 spinel oxide

Potassium substituted nanosized magnesium aluminates having a nominal composition Mg_1−xK_xAl₂O₄ where x=0.0, 0.25, 0.5, 0.75, 1.0 have been synthesized by the chemical co-precipitation method. The samples have been characterized by means of X-ray diffraction (XRD), scanning electron microscope (SEM), and dc electrical resistivity measurements. The XRD results reveal that the samples are spinel single phase cubic close packed crystalline materials. The calculated crystallite size ranges between 6 and 8 nm. The behaviour of the lattice constant seems to deviate from the Vegard's law. While X-ray density clearly increases, the bulk density and consequently, the percentage porosity do not exhibit a significant change on increasing the K⁺ content. The SEM micrographs suggest homogeneous distribution of the nanocrystallites in the samples. The dc electrical resistivity exhibits a typical semiconducting behaviour. Substitution of a Mg²⁺ ion by a K⁺ ion provides an extra hole to the system, which forms small polaron. Thermally activated hopping of these small polarons is believed to be the conduction mechanism in the Mg_1−xK_xAl₂O₄. The activation energy of hopping of small polarons has been calculated and found K⁺ ions content dependent.     

Electron spectrum of δ-doped quantum wells by the Thomas-Fermi method at finite temperatures

The electron spectrum of δ-doped quantum wells in n-GaAs is investigated by means of the Thomas-Fermi (TF) method at finite temperatures. This method shows rapid convergence and good accuracy. Under two-dimensional (2D) doping concentrations 10¹³…2×10¹³ cm⁻², the simplest TF method (T=0 K) can be used to calculate the profiles of the potential well up to T≈200 K. The simplest TF method yields correct results for the electron concentrations and the differences of the electron energy sublevels in the quantum well up to room temperature (T∼300 K).     

基于贝叶斯序贯方法的微波效应实验设计

提出了一种基于贝叶斯验后概率的序贯检验方法,建立了检验的判别准则,给出了判别准则临界值的计算方法。在给定截尾实验次数的条件下,提出了一种截尾方案,建立了截尾判断方法。将其用于解决验证效应物在微波作用下失效概率达到给定水平的微波效应实验设计问题,给出了相应的实验方案和所需样本量的估计。最后,通过实例对上述方法的应用过程进行了说明,并和现有方法进行了分析比较。     

基于亚微米光栅透射共振蛋白质检测模型研究

建立了一种基于亚微米光栅透射共振理论的蛋白质检测模型,设计了一种金属光栅型蛋白质检测生物传感器,运用光栅耦合激发表面等离子体共振理论对提出的模型进行了理论分析,通过计算机计算模拟,分析了蛋白质样品折射率、厚度等对透射率的影响。结果表明:透射率与样品折射率、厚度呈二阶多项式关系,并且厚度、折射率都随灵敏度的增加而增加。这种检测模型可应用在蛋白质检测传感方面。基于此方法的蛋白质检测模型具有同时检测蛋白质种类和含量、灵敏度高、实时、无需标记,便于集成芯片化,适用于批量生产、成本低等优点,在蛋白质芯片、生物分析、环境监测、生物器件研发等方面具有广泛的应用前景。     

模拟颗粒凝并过程的快速Monte Carlo方法

对常规异权值Monte Carlo(MC)方法进行改进,基于强核函数思想,通过颗粒群单重遍历即可求得强核函数最大值,采用接受-拒绝法随机搜寻凝并对,并利用搜寻过程中拒绝和接受的所有凝并对的信息来估计凝并事件的等待时间(时间步长),从而避免颗粒群的双重遍历,以提高MC的效率.对典型工况的模拟结果显示该快速方法计算代价仅为O(N_s),能够显著提高计算效率,同时保持足够的计算精度,较好地协调计算代价与计算精度之间的矛盾.     

利用液体夹心法测量LiF单晶高压热导率

提出了液体夹心法热导率测量技术, 采用CHBr3液体作为夹心材料实现了样品/窗口界面的理想接触, 并将动载荷作用下的夹心法高压热导率实验测量压力下限拓展至40 GPa, 为绝缘介电晶体高温高压热导率测量提供了技术支持. 实验利用平面碰撞和DPS测试技术, 结合液体夹心法实测了LiF单晶高压热导率数据, 对现有热导率理论模型进行了研究和探讨, 结果显示, 在γ/γ0=(ρ0/ρ)2时, 修正后的Roufosse理论公式与实验数据符合较好, 这一研究结果为非透明材料冲击波温度测量中的热传导修正提供了实验数据和理论模型。     

基于表面阻抗边界条件的等离子体薄涂层电磁散射的时域有限差分分析

基于表面阻抗边界条件时域有限差分(FDTD)方法研究了一维斜入射情况下非磁化等离子体薄涂层涂敷金属材料的电磁散射特性, 该方法忽略对薄层背景材料进行网格剖分, 大大减少了计算量. 首先推导了理想导体涂敷等离子体薄涂层的表面阻抗频域表达式, 然后代入边界条件并变换到时域, 再用分段线性递推卷积方法将时域表达式离散得到FDTD迭代式. 编程计算了垂直及斜入射情形下的平行极化和垂直极化反射系数, 通过验证算例与解析解对比, 结果表明该方法的准确性和有效性. 最后利用该方法分析了不同入射角对反射系数的影响.     

修正的BBM方程新的精确解

应用进一步修正的简单方程法对修正的 Benjamin -Bona -Mahoney (mBBM )方程进行求解,给出了mBBM方程新的精确类孤波解,取定某些参数值,便可得到精确孤波解.这种方法也可用于寻找其它常系数以及变系数非线性发展方程(组)的精确解,具有一定的普适性.