BEPCⅡ直线加速器重大改造和束流调试进展

BEPCⅡ直线加速器的重大改造旨在获得高流强、小发射度和小能散的正负电子束, 以满足对撞机亮度提高两个两级的要求. 这对直线加速器各系统和束流物理是一个挑战. 文章介绍了直接决定束流性能的新电子源、新正电子源、新微波功率源、相位控制系统和束流测量系统等的改造情况; 叙述了束流物理研究; 介绍了束流调试进展情况和进一步改进计划.     

Symbolic algorithm for solving cyclic penta-diagonal linear systems

In this paper, by using a special matrix factorization, a symbolic computational algorithm is developed to solve the cyclic penta-diagonal linear system. The algorithm is suitable for implementation using Computer Algebra Systems (CASs) such as MATLAB, MATHEMATICA and MAPLE. In addition, an efficient way of evaluating the determinant of a cyclic penta-diagonal matrix is also discussed. Two numerical examples are given for the purpose of illustration.     

On the determinant evaluation of quasi penta-diagonal matrices and quasi penta-diagonal Toeplitz matrices

Recently, three computational algorithms for evaluating the determinant of quasi penta-diagonal matrices have been proposed by El-Mikkawy and Rahmo (Comput Math Appl 59:1386–1396, 2010), by Neossi Nguetchue and Abelman (Appl Math Comput 203:629–634, 2008), and by Jia et al. (Int J Comput Math 89:851–860, 2013), respectively. In the current paper, two novel algorithms with less computational costs are proposed for the determinant evaluation of general quasi penta-diagonal matrices and quasi penta-diagonal Toeplitz matrices. Furthermore, three numerical experiments are given to show the performance of our algorithms. All of the numerical computations were performed on a computer with aid of programs written in MATLAB.     

Waveform relaxation of partial differential equations

In this paper, we investigate a numerical method for the construction of an optimal set of quadrature rules in the sense of Borges (Numer. Math. 67, 271–288, 1994) for two or three definite integrals with the same integrand and interval of integration, but with different weight functions, related to an arbitrary multi-index. The presented method is illustrated by numerical examples.     

Structure-preserving model reduction of second-order systems by Krylov subspace methods

In this paper, structure-preserving model reduction methods for second-order systems are investigated. By introducing an appropriate parameter, the second-order system is represented by a strictly dissipative realization and the \(H_{2}\) norm of the strictly dissipative system is discussed. Then, based on the Krylov subspace techniques, two model reduction methods are proposed to reduce the order of the strictly dissipative system. Further, the reduced second-order systems are obtained. Moreover, according to the factorization of the error system, the \(H_{2}\) error bounds are represented by the Kronecker product and the vectorization operator. Finally, two numerical examples illustrate the efficiency of our methods.     

Analytical solutions for the multi-term time–space fractional advection–diffusion equations with mixed boundary conditions

In this paper, we consider the analytical solutions of multi-term time–space fractional advection–diffusion equations with mixed boundary conditions on a finite domain. The technique of spectral representation of the fractional Laplacian operator is used to convert the multi-term time–space fractional advection–diffusion equations into multi-term time fractional ordinary differential equations. By applying Luchko’s theorem to the resulting fractional ordinary differential equations, the desired analytical solutions are obtained. Our results are applied to derive the analytical solutions of some special cases to demonstrate their practical applications.     

Indole-based Fluorescent Sensors for Selective Detection of Hg2+

A series of indole-based fluorescent chemosensors 1–4 were prepared and investigated characteristick features with transition metal ions. Sensors 1 and 2 were selective for Hg²⁺ ion among a series of metal ions in H₂O–DMSO with association constants of 4.60×10⁴ and 5.90×10⁴?M^?1 and detection limits of 140 and 101.6 μM, respectively.

放射性碘分子在Cu2O表面的吸附:第一性原理密度泛函研究

采用第一性原理密度泛函计算方法和周期性平板模型系统研究了放射性碘分子在Cu₂O三个低指数表面的吸附行为。通过计算若干平衡吸附构型的结构参数和吸附能评估了不同特征吸附位的作用。构型优化计算表明所选晶面存在适度的结构弛豫。计算结果表明,与Cu₂O（110）表面相比,Cu₂O（100）和（111）晶面表现出更高的碘分子吸附反应活性。其中,表面氧原子位（O_S）和配位未饱和铜原子位（Cu_CUS）分别为Cu₂O（100）和（111）晶面的能量最优吸附位点。此外,针对几种典型吸附结构计算分析了其电子结构信息,以进一步阐明吸附体系之间的相互作用机理。     

不同润湿性石英表面吸附页岩油的分子动力学模拟

根据吉木萨尔凹陷芦草沟组储层特征,利用分子动力学方法研究了不同润湿性石英狭缝表面吸附页岩油的特征.用甲基和羟基按照-CH₃:-OH=100:0、 75:25、 50:50、 25:75、 0:100修饰石英表面以构造不同润湿性的表面,并构建10 nm裂缝模型,以研究其对C₁₅H₃₂页岩油的吸附特性.研究结果表明,通过调节修饰官能团的比例,成功构造了润湿角为122.0°、 116.5°、 92.5°、 82.6°、 65.4°的吸附模型.由于水分子与石英表面间的相互作用能变化剧烈,水分子在修饰的石英表面的吸附是导致润湿角不断改变的主要原因.(C₁₅H₃₂在甲基改性石英表面的第一吸附层峰值是羟基改性的石英表面的1.37倍,说明润湿性会导致吸附特征发生明显改变.)通过对游离态页岩油含量的计算发现,随着羟基改性程度的增加,游离态页岩油质量占比从68%逐渐增长到83.7%,说明表面的润湿性改造有利于页岩油的解吸进而提高页岩油开发能力.     

Momentum Distribution of a Fragment and Nucleon Removal Cross Section in the Reaction of Halo Nuclei

Recently the research on the halo structure of drip-line nuclei has shown some interesting properties of the existence of one or more halo nucleons. In the framework of few-body Glauber model, the momentum distribution of a fragment and nucleon removal cross section in the reaction of halo nuclei is presented and extended to nuclei having more than one halo nucleons. The reaction mechanism is treated with and without taking account of the final-state interaction. The wave function of removal halo nucleons in the continuum state is modified by imposing an orthogonal condition to the bound state. An analytical expression of the longitudinal momentum distribution of the fragment is derived when the bound state wave function of halo nucleons is taken as a Gaussian-type function. This is useful in the further investigation on the structure of halo nuclei.