Topological Aspects of Superconductors at Dual Point

We study the properties of the Ginzburg-Landau model at the dual point for the superconductors. By making use of the U（1） gauge potential decomposition and the φ-mapping theory, we investigate the topological inner structure of the Bogomol＇nyi equations and deduce a modified decoupled Bogomol＇nyi equation with a nontrivial topological term, which is ignored in conventional model. We find that the nontrivial topological term is closely related to the N-vortex, which arises from the zero points of the complex scalar field, Furthermore, we establish a relationship between Ginzburg Landau free energy and the winding number.     

Branch Processes of Regular Magnetic Monopole

In this paper, by making use of Duan＇s topological current theory, the branch process of regular magnetic monopoles is discussed in detail. Regular magnetic monopoles are found generating or annihilating at the limit point and encountering, splitting, or merging at the bifurcation point and the degenerate point systematically of the vector order parameter field φ（x）. Furthermore, it is also shown that when regular magnetic monopoles split or merge at the degenerate point of field function φ, the total topological charges of the regular magnetic monopoles are stilI unchanged.     

Evolution of Spiral Waves in Excitable Systems

Spiral waves, whose rotation center can be regarded as a point defect, widely exist in various two-dimensional excitable systems. In this paper, by making use of Duan＇s topological current theory, we obtain the charge density of spiral waves and the topological inner structure of its topological charge. The evolution of spiral wave is also studied from the topological properties of a two-dimensional vector field. The spiral waves are found generating or annihilating at the limit points and encountering, splitting, or merging at the bifurcation points of the two-dimensional vector field. Some applications of our theory are also discussed.     

Knotted Topological Phase Singularities of Electromagnetic Field

In this paper, knotted objects (RS vortices) in the theory of topological phase singularity in electromagnetic field have been investigated in details. By using the Duan's topological current theory, we rewrite the topological current form of RS vortices and use this topological current we reveal that the Hopf invariant of RS vortices is just the sum of the linking and self-linking numbers of the knotted RS vortices. Furthermore, the conservation of the Hopf invariant in the splitting, the mergence and the intersection processes of knotted RS vortices is also discussed.     

4,6-二甲氧基-2-[甲氧脲基硫代脲基]嘧啶的合成、晶体结构和理论计算

利用2-氨基-4,6-二甲氧基嘧啶在干燥条件下与硫氰酸钾、氯甲酸甲酯在乙酸乙酯溶液中反应制得4-(4,6-二甲氧基嘧啶-2-基)-3-硫代脲酸甲酯, 在二甲基甲酰胺溶液中培养出单晶, 通过X射线单晶结构分析法测定分子结构和晶体结构, 晶体属单斜晶系, 空间群为C2/m, 晶胞参数为: a＝1.6672(3) nm, b＝0.66383(12) nm, c＝1.1617(2) nm, β＝109.275(2)°, V＝1.2136(4) nm³, D_c＝1.490 g/cm³, μ＝0.281 mm^－1, F(000)＝568, Z＝4, R₁＝0.0341, wR₂＝0.1042. 运用Gaussian 03程序, 在6-311G的基组水平上, 用HF, MP2以及B3LYP三种计算方法对标题化合物进行了几何全优化, 并对其成键情况及自然键轨道(NBO)进行了分析.     

Knot solitons in AFZ model

This paper studies the topological properties of knotted solitons in the (3+1)-dimensional Aratyn--Ferreira--Zimerman (AFZ) model. Topologically, these solitons are characterized by the Hopf invariant I, which is an integral class in the homotopy group π₃(S³)=Z. By making use of the decomposition of U(1) gauge potential theory and Duan's topological current theory, it is shown that the invariant is just the total sum of all the self-linking and linking numbers of the knot family while only linking numbers are considered in other papers. Furthermore, it is pointed out that this invariant is preserved in the branch processes (splitting, merging and intersection) of these knot vortex lines.     

Topological Aspects of Triplet Superconductors

In this paper, using the Φ-mapping theory, it is shown that two kinds of topological defects, i.e., the vortex lines and the monopoles exist in the helical configuration of magnetic field in triplet superconductors. And the inner topological structure of these defects is studied. Because the knot solitons in the triplet superconductors are characterized by the Hopf invariant, we also establish a relationship between the Hopf invariant and the linking number of knots family, and reveal the inner topological structure of the Hopf invariant.     

Topological aspect of Chern--Simons p-branes

By generalizing the topological current of Abelian Chern--Simons (CS) vortices, we present a topological tensor current of CS p-branes based on the \phi -mapping topological current theory. It is revealed that CS p-branes are located at the isolated zeros of the vector field \phi(x), and the topological structure of CS p-branes is characterized by the winding number of the \phi-mappings. Furthermore, the Nambu--Goto action and the equation of motion for multi CS p-branes are obtained.     

1-(4-甲氧基)苯甲酰基-3-(4,6-二甲基嘧啶-2-氨基)硫脲的晶体结构、 理论计算及生物活性

2-氨基-4,6-二甲基嘧啶与硫氰酸钾、4-甲氧基苯甲酰氯在乙酸乙酯中反应, 合成了1-(4-甲氧基)苯甲酰基-3-(4,6-二甲基嘧啶-2-氨基)硫脲, 并用X射线单晶衍射法测定其晶体结构, 晶体属单斜晶系, 空间群为P21/n, 晶胞参数为: a＝1.0134(4) nm, b＝1.3172(5) nm, c＝1.0988(4) nm, β＝91.671(8)°, V＝1.4661(9) nm3, Dc＝1.433 g/cm3, μ＝0.234 mm－1, F(000)＝664, Z＝4, R1＝0.0571, wR2＝0.1328. 运用Gaussian 03程序, 对标题化合物进行了HF/6-31＋g(d)和B3LYP/6-31＋g(d)水平的几何全优化和频率计算, 并对其成键情况及自然键轨道(NBO)进行了分析. 初步实验证明该化合物具有良好的生物活性.     

3-取代甲撑肼基二硫代甲酸甲酯类化合物热裂解的研究

首次采用气质联用仪研究了3-取代甲撑肼基二硫代甲酸甲酯类化合物的热裂解反应, 发现其在气化室可热裂解产生芳香腈、甲硫醇和异硫氰酸. 考察了3-苯基甲撑肼基二硫代甲酸甲酯在不同温度时的热裂解效率, 发现温度对其热裂解具有重要的影响, 该化合物在230 ℃时就能基本完全裂解. 同时还考察了含有不同取代基的化合物在210 ℃下的热裂解情况, 结果表明含推电子基的化合物比吸电子基化合物在气化室中裂解得完全, 热稳定性更差, 并根据实验结果推测了热裂解反应的可能机理.