非线性抛物问题的二重网格混合元算法

针对一类非线性抛物方程的混合元形式,本文提出了二重网格算法.该算法是在网格大小为H的粗网格上求解—个非线性系统,再在网格大小为h的细网格上进行两次线性计算.算法第二步和第三步的误差分别为O(△_t~2 h~(k 1) H~(2K 2)),O(△_t~2 h~(k 1) h~(-d/2)H~(4k 4)),其中k为逼近空间的多项式的次数,d为空间维数.该估计对H的选取起了很大的作用.对于粗网格上的非线性计算,本文给出了L~p(2≤p<∞)模误差估计.     

MICROSTRUCTURE AND FRACTAL FORMATION OF ANNEALED Ge-Au FILM AND Ge-Au/Au BILAYER FILMS

The as-deposited and annealed Ge-Au film and Ge-Au/Au bilayer films have been observed by transmission electron microscopy. The bilayer with a composition of Ge-5at%Au film is amorphous, while the Ge-22at%Au film is polycrystalline. Higher concentration of Au raises the structural heterogeneity and instability. Fractals can be observed in the Ge-5at%Au/Au bilayer samples annealed at 60-100℃. The difference of the fractal patterns generated from Ge-Au/An and a-Ge/Au films call be attributed to the higher heterogeneity and instability in Ge-Au/An bilayers.     

声学随机共振实验

在特定的非线性系统中,噪声的存在能够增强信号的响应, 这种现象为随机共振. 本文实验通过观察噪声对听觉阈限的影响,使学生了解声学中的随机共振现象.     

Mixed Symmetry Isomeric States in Nuclei

Mixed symmetry states are studied in the framework of the neutron-proton interacting boson model.It is found that some of the mixed symmetry states with moderate high spins change very fast with respect to the Majorana interaction.Under certain conditions,they become the yrast state or yrare state.These states are difficult to decay and become very stable.This study suggests that a possible new mode of isomers may exist due to the special nature in their proton and neutron degrees of freedom.     

Suppression of Phase and Amplitude Damping Decoherence in a Three-Level Atom in A-Configuration Using Bang-Bang Controls

In this paper, we present decoupling bang-bang operations for the suppression of general decoherence, both amplitude and phase damping, in a three-level system in A-configuration. We give a program to design a sequence of periodic twinborn pulses to suppress the decoherence in such the system.     

Abel Chern-Simons项与复标量场耦合系统的正则量子化

应用Faddeev-Jackiw方法对Abel Chern-Simons项与复标量场耦合系统进行正则量子化,它表明用这种方法进行量子化更加直接和优美.     

Simulation of Helium Behaviour in Titanium Crystals Using Molecular Dynamics

The behaviour of helium in Ti crystals at 300 K has been investigated by means of the molecular dynamics. The study is focused on the influences of He-Ti interaction on the aggregation of helium atoms in the substrate. When a Born-Mayer potential is used to describe the He-Ti interaction, the He atoms are unable to cluster with each other due to the weak bridge barrier that cannot trap the helium atoms, Whereas using a He-Ti potential that is constructed by fitting the ab initio pairwise He-Ti potential, the clustering of He atoms can be observed. The results indicate that suitable He-Ti potential plays an important role in the formation of He clusters in metals. Moreover, it is noted that the shape of the formed He cluster is irregular, and the produced defect prefers to congregating on one side of the He cluster rather than spreading symmetrically around it.     

两指标点过程的停止及σ-域

本文给出两指标点过程的跳线刻划、停止方法,论述了跳线的可测性及点过程有关的σ-域的结构和特征。     

壳聚糖抗庭院植物病原真菌的活性

分别用过氧化氢和溶菌酶降解壳聚糖,制备得到了系列分子量(3.8×105,7.8×104,4.8×104,1.7×104,2.3×103)的壳聚糖样品.采用平板法研究了壳聚糖系列样品对大叶黄杨炭疽病、沿阶草炭疽病、广玉兰炭疽病和对节白蜡腐烂病等庭院植物病原真菌的体外抗菌性能.结果表明:水不溶性壳聚糖酸溶液均表现出抑菌活性,且随着浓度的增大而抑菌活性增强;中等分子量(7.8×104)壳聚糖比大分子量(3.8×105)壳聚糖和低分子量(1.7×104,2.3×103)壳聚糖抗菌作用强.