Korteweg-de Vries方程的准孤立子解及其在离子声波中的应用

应用推广的tanh函数展开法,给出了Korteweg-de Vries方程具有准孤立子行为的两组孤子-椭圆周期波解,其中一组为新解.推导了均匀磁化等离子体中描述离子声波动力学行为的Korteweg-de Vries方程,发现电子分布、离子电子温度比、磁场大小、磁场方向对离子声准孤立子的波形具有显著影响.     

拟南芥胚的不同区域对MeV离子辐照的响应

利用不同能量的质子在大气环境中辐照拟南芥的含水种子，能量从1.1MeV到6.5MeV.根据模拟计算结果，相应能量的离子对种子的损伤区域分别为胚的浅层、胚的一半和整个胚.本实验中，具有较高能量的质子可以完全均匀地作用于拟南芥生长、发育及遗传密切相关的胚茎端分生组织，而能量较低的质子则不能直接作用于茎端分生组织.实验所用质子注量范围为4×10⁹ions/cm²—1×10¹⁴ions/cm².实验结果显示，虽然拟南芥种子的发芽率和幼苗存活率随离子注量增加都呈现下降的趋势，但对应于不同的胚损伤区域，即在不同的入射质子能量条件下，注量曲线具有各自的特征.实验结果显示，拟南芥种子中除了胚茎端分生组织作为对离子辐照敏感的辐射主靶外，茎端分生组织之外的胚区域可能作为离子辐射次靶，影响到最终的辐射生物学效应. 关键词： 离子辐照 拟南芥 胚区域 生物效应     

Row–column visibility graph approach to two-dimensional landscapes

A new concept, called the row–column visibility graph, is proposed to map two-dimensional landscapes to complex networks. A cluster coverage is introduced to describe the extensive property of node clusters on a Euclidean lattice. Graphs mapped from fractals generated with the probability redistribution model behave scale-free. They have pattern-induced hierarchical organizations and comparatively much more extensive structures. The scale-free exponent has a negative correlation with the Hurst exponent, however, there is no deterministic relation between them. Graphs for fractals generated with the midpoint displacement model are exponential networks. When the Hurst exponent is large enough(e.g., H >0.5), the degree distribution decays much more slowly, the average coverage becomes significant large, and the initially hierarchical structure at H < 0.5 is destroyed completely. Hence, the row–column visibility graph can be used to detect the pattern-related new characteristics of two-dimensional landscapes.     

苯乙烯的氧化三氟甲硫基化反应

使用稳定易得的三氟甲硫基银作为"三氟甲硫基"源,通过苯乙烯的三氟甲硫基化/氧化反应,合成了一系列多取代α-三氟甲硫基苯乙酮.以二甲基亚砜和氯仿的为溶剂,过硫酸钾为氧化剂,通过自由基历程进行双官能化反应,在温和条件下,以中等到良好的收率实现了一系列不同取代的苯乙烯的氧化三氟甲硫基化的高效转化,为α-三氟甲硫基苯乙酮的合成提供了一种简单、步骤经济的有效合成方法.     

Approximate Symmetry Reduction to the Perturbed One-Dimensional Nonlinear Schrodinger Equation

The one-dimensional nonlinear Schrodinger equation with a perturbation of polynomial type is considered. Using the approximate symmetry perturbation theory, the approximate symmetries and approximate symmetry reduction equations are obtained.     

Symmetries and Algebras of a （2＋1）-Dimensional MKdV-Type System

In this paper, a （2＋1）-dimensional MKdV-type system is considered. By applying the formal series symmetry approach, a set of infinitely many generalized symmetries is obtained. These symmetries constitute a closed infinite-dimensional Lie algebra which is a generalization of w∞ type algebra. Thus the complete integrability of this system is confirmed.     

整体式PDMS电泳芯片快速成型及高灵敏化学发光检测氨基酸

通过再铸模法将聚二甲基硅氧烷(PDMS)预聚物固化在由微细金属丝构成的微流体孔道的印模中,一次成型制作了整体式PDMS芯片.将所制作的芯片与化学发光检测器集成构建了微芯片毛细管电泳分析系统.初步考察了不经过衍生化时该系统分离检测氨基酸的性能.实验结果表明,精氨酸和天门冬氨酸在80s内完全分离,分离度为2.45,精氨酸的浓度检测限为3.50μmol/L.     

Constructing(2+1)-dimensional N=1 supersymmetric integrable systems from the Hirota formalism in the superspace

The N = 1 supersymmetric extensions of two integrable systems,a special negative Kadomtsev–Petviashvili(NKP)system and a(2+1)-dimensional modified Korteweg–de Vries(MKd V) system,are constructed from the Hirota formalism in the superspace.The integrability of both systems in the sense of possessing infinitely many generalized symmetries are confirmed by extending the formal series symmetry approach to the supersymmetric framework.It is found that both systems admit a generalization of W∞type algebra and a Kac-Moody–Virasoro type subalgebra.Interestingly,the first one of the positive flow of the supersymmetric NKP system is another N = 1 supersymmetric extension of the(2+1)-dimensional MKd V system.Based on our work,a hypothesis is put forward on a series of(2+1)-dimensional supersymmetric integrable systems.It is hoped that our work may develop a straightforward way to obtain supersymmetric integrable systems in high dimensions.     

基于北京大学4.5 MV静电加速器的核技术应用

北京大学4.5 MV静电加速器是20世纪80年代我国自主研发的静电加速器。该器端电压在0.7~3.8 MV连续可调,主要加速氢/氦同位素离子,并可通过打靶产生准单能直流/脉冲中子场,具有多条束线及多个实验终端。该器作为开放仪器多年来为国内外从事核技术研究的团队提供了实验平台。近年来,针对我国在能源、航天和国防等领域材料研究的重要需求,该器进行了多次升级改造。一方面通过产生7 MeV以下和14~19 MeV的准单能中子场,应用于(n, a)核反应截面的测量和聚变堆中子谱仪刻度;另一方面,通过温控辐照、核反应分析等实验终端,实现了材料辐照损伤及聚变堆材料元素定量分析等研究方向的功能拓展。此外,设计新增用于半导体材料电学性能测试的原位在线辐照终端和用于研究材料微观尺度元素分布的离子束综合分析实验终端。目前部分新终端已设计组装完成,相关搭建和调试工作正在进行中。     

KdV方程的孤子-椭圆周期波解及其准孤立子行为

以KdV方程为例讨论了孤子-椭圆周期波解的准孤立子行为及其相互作用性质. 首先应用推广的tanh函数展开法构造了KdV方程的孤子-椭圆周期波解及其准孤立子极限, 并由孤子-椭圆周期波解的“穿衣服”结构给出了周期波的相移公式. 此外, 结合国内外研究前沿, 讨论了该解的物理应用.