非均匀交换各向异性铁磁介质的非线性表面自旋波

利用Landau-Lifshitz 方程，研究了具有非均匀交换各向异性的半无限大铁磁体的非线性表 面自旋波理论。导出了部分钉扎纯交换铁磁介质的磁化强度所满足的边界条件和非线性表面 自旋波的色散关系，并获得了自旋波振幅沿z方向驻波的一维非线性Schrdinger方程和包 络振幅沿平面传播的二维非线性Schrdinger方程，结果表明铁磁体磁化强度的包络振幅随时空变化的性质是由二维非线性Schrdinger方程决定的。因此预言铁磁介质的表面非线性激发应是二维孤波的形式。对于弱非线性表面自旋波，对非线性Schrdinger方程存在孤子形式解的可能性作了讨论. 关键词： 表面自旋波 Landau-Lifshitz方程 非线性Schrdinger方程 孤子     

蛋白质分子链的非线性激发的孤子模型的一个改进解

通过仔细考察蛋白质分子链中体系运动方程的非线性项,得到了一个与通常非线性Schrdinger方程不同的修正的非线性Schrdinger方程,并求得了一个改进孤子解.     

两类2+1维非线性波动方程的线性叠加解

借助于计算机软件Maple将线性叠加方法应用于2+1维广义非线性Schr?dinger和Boussinesq 方程，给出此两类方程不同周期的线性叠加解以及与这些周期解相应的速度值，求解过程严 格基于一类新近发现的Jacobi椭圆函数周期循环特性及其推论. 关键词： Jacobi椭圆函数 线性叠加方法 周期循环特性 非线性Schrdinger方程 Boussine sq方程     

具有色散系数的(2+1)维非线性Schrdinger方程的有理解和空间孤子

非线性Schrdinger方程是物理学中具有广泛应用的非线性模型之一.本文采用相似变换,将具有色散系数的(2+1)维非线性Schrdinger方程简化成熟知的Schrdinger方程,进而得到原方程的有理解和一些空间孤子.     

立方五次方非线性Schrdinger方程的动力学性质研究

采用辛算法数值求解了一维立方五次方非线性Schrdinger方程,研究了不同非线性参数下非线性Schrdinger方程的动力学性质.数值结果表明,随着立方非线性参数的增加,系统经历了拟周期状态、混沌状态和周期状态,且在五次方项的调制下,呼吸子解可以退化为单孤子解.     

一类S-mKdV方程族及其扩展可积模型

由loop代数的一个子代数出发，构造了一个线性等谱问题，再利用屠格式计算出了一类Liouvelle意义下的可积系统及其双Hamilton结构，作为该可积系统的约化，得到了著名的Schrdinger方程和mKdV方程，因此称该系统为S-mKdV方程族.根据已构造的的子代数，又构造了维数为5的loop代数的一个新的子代数，由此出发设计了一个线性等谱形式，再利用屠格式求得了S-mKdV方程族的一类扩展可积模型.利用这种方法还可以求BPT方程族、TB方程族等谱系的扩展可积模型.因此本方法具有普遍应用价值.最后作为特例，求得了著名的Schrdinger方程和mKdV方程的可积耦合系统.     

变系数非线性Schrdinger方程的孤子解及其相互作用

在光孤子通信和Bose-Einstein凝聚体动力学研究中,求解广义非线性Schrdinger方程是一个重要的研究方向.稳定的孤子模式具有潜在的应用,可为实验技术的实现提供依据.本文引进一种相似变换,将变系数非线性Schrdinger方程转化成非线性Schrdinger方程,并利用已知解深入研究变系数非线性Schrdinger方程解的单孤子解、两孤子解和连续波背景下的孤子解.同时通过选择不同的具体参数,给出它们的图像分析和相应的讨论.     

变系数非线性Schr(o)dinger方程的孤子解及其相互作用

在光孤子通信和Bose-Einstein凝聚体动力学研究中,求解广义非线性Schr(o)dinger方程是一个重要的研究方向.稳定的孤子模式具有潜在的应用,可为实验技术的实现提供依据.本文引进一种相似变换,将变系数非线性Schr(o)dinger方程转化成非线性Schr(o)dinger方程,并利用已知解深入研究变系数非线性Schr(o)dinger方程解的单孤子解、两孤子解和连续波背景下的孤子解.同时通过选择不同的具体参数,给出它们的图像分析和相应的讨论.     

不均匀等离子体中孤子的传播

假设两种离子的分界面是有限长度并连续变化的,研究了由这两种离子组成的等离子体中孤子的传播.在低阶近似条件下,等离子体声波将由KdV方程或非线性Schrdinger方程来描述,由此给出了准孤子振幅、传播速度等参量在传播过程中的变化. 关键词：     

MIMO量子信道的空间自由度研究

量子通信是一个量子密钥分发过程,目前采用的通信技术严重制约了量子密钥分发的比特率.将多输入多输出（MIMO）技术应用于量子通信系统,提高量子密钥分发的比特率,促进量子通信向高速大容量发展.然而,量子场本身不可避免地存在量子噪声约束容量的增长,限制了可利用空间资源,即空间自由度.文中采用光子场的量子化和满足Schrdinger方程条件的电磁场波动方程推导出MIMO量子信道的空间自由度上限,为开发稳健的MIMO量子通信空时处理算法和优化设计高性能MIMO量子通信系统提供理论基础和技术支持. 关键词： 多输入多输出 量子密钥分发 Schrdinger方程 光子场的量子化     

已知结构的短肽段的不同位点之间氨基酸残基的相关性

构筑了一个9个残基长度的短肽段库，根据短肽段的结构把它们分成不同的簇，用卡方分析每个簇，鉴别不同位点之间的相关性．同时还构筑了一个序列比对的评分函数，这个评分函数不但包含单个位点的信息，也包含不同位点之间相关性的信息．结果表明, 位点之间的相关性能够提供一些新颖的信息，这些信息一般都与短肽段不同位点之间的相互作用有关，相关性信息的引入能够明显的提高短肽段结构的预测准确度．     

Some applications of dilatation invariance to structural questions in the theory of local observables

In a dilatation-invariant theory it is shown that there is a unique locally normal dilatation-invariant state. Furthermore a gauge transformation of a local algebra cannot be implemented by a unitary operator from the local algebra. If the local field algebras are factors then so are the local observable algebras. The superselection structure of the theory can be determined locally.     

Detecting local community structures in complex networks based on local degree central nodes

Detecting local communities in real-world graphs such as large social networks, web graphs, and biological networks has received a great deal of attention because obtaining complete information from a large network is still difficult and unrealistic nowadays. In this paper, we define the term local degree central node whose degree is greater than or equal to the degree of its neighbor nodes. A new method based on the local degree central node to detect the local community is proposed. In our method, the local community is not discovered from the given starting node, but from the local degree central node that is associated with the given starting node. Experiments show that the local central nodes are key nodes of communities in complex networks and the local communities detected by our method have high accuracy. Our algorithm can discover local communities accurately for more nodes and is an effective method to explore community structures of large networks.     

Hydration Free Energies by Energetic Partitioning of the Potential Distribution Theorem

In the quasichemical theory of molecular solutions, the hydration free energy is spatially partitioned in a three-step thermodynamic process: cavity formation, solute insertion into the cavity, and relaxation of the cavity constraint. In the alternative local molecular field theory that focuses on the relationship of fluid structure and forces, the interaction energies are directly partitioned into local and far-field components; a restructured local potential incorporates information from the far-field interactions at the mean-field level. Here the quasichemical and local molecular field theories are related via energetic partitioning of the potential distribution theorem free energy. The resulting theory leads to a free energy division in which the local contribution requires direct evaluation, but the far-field component can be accurately estimated at the Gaussian level. A numerical approach for computing hydration free energies is developed that employs interaction energy distributions from several sampling states. Classical model problems of nonpolar, polar, and ionic hydration are presented to illustrate the theory. Extensions of the theory for estimating free energies at the quantum level are also discussed.     

On the relations between quantum fields and local algebras of observables

It is shown that quantum fields which are relatively local to a given local algebra of observables can be recovered from this algebra.     

Effect of local rewiring in adaptive epidemic networks

We investigate the dynamics of a susceptible-infected-susceptible (SIS) epidemic model on adaptive (co-evolutionary) networks. In most of these models, the rewiring mechanism is based on information known globally. Here, we propose local rewiring where rewiring decision is based on local information around a given node. Our results show that there are phase overlaps between local and global rewirings. The results suggest that under a certain circumstance, even with limited local information, outcomes from both rewirings are statistically similar. Furthermore, we found that the epidemic threshold does not depend on the amount of information. This could be useful for planned intervention of an epidemic spreading using minimal information.     

NiZr,AlZr和BCr相局域原子短程序特征

晶体和非晶合金具有以近邻多面体团簇为特征的微结构,这些团簇包含有形成其母相的空间局域原子短程序结构信息.本文正是从局域原子团簇特征出发,详细分析了传统晶体相描述中具有相同结构的NiZr,AlZr和BCr相,结果表明它们却具有不同的局域原子特征.这种不同可能是由单胞大小及原子占位略有不同造成的.由于这种不同于传统的晶体学描述方法给出了微观结构特点,对晶体相的重新认知及材料设计会大有帮助.     

Deconstructing spatiotemporal chaos using local symbolic dynamics

We find that the global symbolic dynamics of a diffusively coupled map lattice is well approximated by a very small local model for weak to moderate coupling strengths. A local symbolic model is a truncation of the full symbolic model to one that considers only a single element and a few neighbors. Using interval analysis, we give rigorous results for a range of coupling strengths and different local model widths. Examples are presented of extracting a local symbolic model from data and of controlling spatiotemporal chaos.     

EXAFS characterization of ferric oxyhydroxides

The EXAFS method has been used for investigating the local structures of ferric oxyhydroxides which are reaction products formed on an iron surface exposed to air or immersed in salt water. Fe K EXAFS spectra of two references of ferric oxyhydroxides, i.e. goethite and lepidocrocite, which are often detected as components of reaction products, have been also studied for comparison thereof. The two reference oxyhydroxides demonstrated different EXAFS spectra, which are interpreted based on the atomic local structures. Fe K EXAFS spectra and their radial distribution functions of the reaction products formed on an iron surface have been compared with those of the reference oxyhydroxides. This comparison shows that the first and second nearest neighboring structures around ferric ions in the reaction products are different from those of the two references. These results indicate that the local structures around ferric ions in the reaction products are disordered, although the atomic local structures of Fe–O may be described as being local structural units.