{Cu_3}单分子磁体在热平衡和磁场作用下的三体纠缠

本文研究了Na_9[Cu_3Na_3(H_2O)_9(α-As W_9O_(33))_2]·26H_2O(简记为{Cu_3})单分子磁体在热平衡和外加磁场作用下的三体纠缠性质,利用等效自旋模型和实验拟合参数,数值计算了{Cu_3}型三角自旋环中三体负性纠缠度(tripartite negativity).分别考虑沿垂直于三角自旋环方向的磁场、平行于三角自旋环方向的磁场,以及倾斜磁场的情形.结果表明,磁场的方向、大小以及温度对系统三体负性纠缠度有着重要影响.文中给出了在不同磁场方向下,临界温度随磁场强度的变化图,由此可以得到三体纠缠存在的参数区域.同时发现在特定的参数区域,该系统存在纠缠恢复现象.因此适当调节温度、磁场强度大小和磁场方向可以有效调控{Cu_3}型三角自旋环中的三体纠缠性质.     

槲皮素作为荧光探针对氟离子的识别作用

槲皮素为天然黄酮类化合物,广泛存在于植物的根、茎、叶、花和果实中。槲皮素作为荧光探针检测氟离子不仅具有较好的选择性和灵敏度,而且与合成的荧光探针比,还具有来源广、环保、无毒等优点。实验将不同阴离子(F-,Cl-,Br-,I-,ClO-₄,H₂PO-₄)分别加入到槲皮素的二甲基亚砜(DMSO)溶液中,考查槲皮素溶液的荧光强度变化。实验发现当加入氟离子后,槲皮素在500 nm处的荧光发射峰的强度降低,发生荧光猝灭,且其猝灭程度随着氟离子浓度的增大而改变,即荧光强度随着氟离子浓度的增大而减小,并呈线性变化。而其他阴离子的加入对槲皮素和槲皮素-氟离子体系的荧光发射强度影响不大,说明其他阴离子不影响槲皮素对氟离子的识别,显示了槲皮素对氟离子具有较好的选择性。由荧光滴定光谱和荧光滴定曲线得到槲皮素对氟离子的滴定方程为：y=-13.36x+173.4,线性关系为R2=0.991,线性范围为1.0×10-6～8.0×10-6 mol·L-1,最低检测限为1.0×10-7 mol·L-1,表明槲皮素对氟离子的识别具有较高的灵敏度。进一步实验表明槲皮素识别氟离子的机理可能是氟离子的加入破坏了溶液体系的氢键,改变了槲皮素分子的共轭状态,发生分子内电荷转移,促使槲皮素荧光猝灭。用该法成功检测了样品中微量氟离子,回收率为100.67%～102.44%,精确度较好,测定结果稳定。     

球形Dirac方程的空间格点求解及假态问题

本文在空间格点上利用虚时间步长方法求解了球形Dirac方程, 着重研究了出现的假态问题. 利用三点数值导数公式离散方程中一阶导数项, 可以证明对于量子数为 κ 和 -κ的单粒子能级能量是完全相同的, 其中一个为物理解, 另一个为假态. 通过在径向Dirac方程中引入Wilson 项, 可以解决假态问题, 得到全部物理解. 文章以 Woods-Saxon 势为例, 考虑 Wilson 项后, 得到与打靶法一致的结果.     

激光加载下铝材料的冲击温度测量

利用神光Ⅱ装置上搭建的用于激光冲击波实验的温度诊断系统（该系统包括高时空分辨的扫描高温计和谱时分辨的扫描高温计）,以强激光加载铝材料冲击温度的测量,获得了铝材料冲击高温辐射发光谱的高时空分辨信号图像,结合灰体辐射理论模型,计算得到了冲击波速度19.06 km/s时铝材料的冲击温度达2.95 eV,该温度与SESAME库中冲击温度接近。研究结果表明采用该测温系统能够有效诊断金属材料的冲击温度,为后续进一步获取金属材料冲击温度数据奠定了基础。     

Impulsive Noise Driven One-Dimensional Higher-Order Fractional Partial Differential Equations

We are going to study a kind of stochastic fractional partial differential equation driven by an impulsive noise, which is singular not only in time but also in space. We first study the existence and uniqueness of the solution and then investigate the regularity of the solution in its spatial variable which depends on the order of the fractional operator, and deeply relies on the precise analysis of the kernel generated by our operator. In addition, we also discuss the stochastic flow property of the solutions.     

Random attractors for stochastic differential equations driven by two-sided Lévy processes

Abstract

In this paper, the asymptotic behavior of solutions for a nonlinear Marcus stochastic differential equation with multiplicative two-sided Lévy noise is studied. We plan to consider this equation as a random dynamical system. Thus, we have to interpret a Lévy noise as a two-sided metric dynamical system. For that, we have to introduce some fundamental properties of such a noise. So far most studies have only discussed two-sided Lévy processes which are defined by combining two-independent Lévy processes. In this paper, we use another definition of two-sided Lévy process by expanding the probability space. Having this metric dynamical system we will show that the Marcus stochastic differential equation with a particular drift coefficient and multiplicative noise generates a random dynamical system which has a random attractor.     

Numerical modelling and analysis of external gear pumps by applying generalized control volumes

Components in gear pumps usually involve complex geometrical arrangements in order to achieve the desired performance. The use of lumped parametric models is considered the most accurate and effective method for investigation of the associated design issues. In this study, the numerical modelling approach based on the lumped parameters and control volume concepts is reviewed, especially for gear teeth within the meshing zone. To apply the approach to the entire gear pump, control volume concepts are generalized to all gear pockets and flow orifices with some reasonable assumptions. The assumptions include instantaneous angular positions, orifice transitions and imagined control volumes with internal flows. The fluid dynamics and pump performance, which even have the measurement difficulties, can be estimated to investigate and optimize the design parameters of gears by the model. A simulation example and its experimental results of a gear machine are presented to validate the proposed approach in this article.     

Stability in Debye series calculation for light scattering by absorbing particles and bubbles

The Debye-series decomposition is of importance for understanding of light scattering features and for the validity of the geometrical optics approximation to light scattering. The numerical stability and accuracy for calculating light scattering with Debye series is studied and an improved algorithm is proposed in this work. The ratios of the Riccati-Bessel functions and the logarithmic derivatives of the Riccati-Bessel functions are employed and calculated with proper recurrences. Exemplifying results are provided to show the improvement of the algorithm.     

考虑晶粒尺寸效应的超薄(10–50 nm) Cu电阻率模型研究

结合Marom模型与实验数据, 给出了晶粒尺寸与金属薄膜厚度的关系式. 基于已有的理论模型, 针对厚度为10–50 nm Cu薄膜, 考虑到表面散射与晶界散射以及电阻率晶粒尺寸效应, 提出一种简化电阻率解析模型. 结果表明, 在10–20 nm薄膜厚度范围内, 考虑晶粒尺寸效应后的简化模型与现有实验数据符合得更好. 相对于Lim, Wang与Marom模型, 所提模型的相对标准差分别降低74.24%, 54.85%, 78.29%. 关键词： 表面散射 晶界散射 晶粒尺寸效应 平均自由程