An－1(1)面模型反射方程的多参数解

利用面型因式化L算子,通过An－1(1)面模型反射方程的对角解,构造了一个含有n+1个任意参数的非对角解.     

15顶角模型反射方程的常数解

得到了15顶角模型A2(1)模型和超对称t–J模型反射方程的非对角解,结果发现,A2(1)模型具有三种形式的非对角解,超对称t–J模型具有一种形式的非对角解,每种形式的非对角解均含有两个解,每个非对角解中均含有三个任意参数.关于对角解也得到了一些新的形式的解.     

结构振动模态之间耦合对预测结构声功率的影响

以简支矩形板为例,分析结构振动模态之间的耦合对声功率的影响。通过对声功率传递矩阵计算方法的改进,得到计算声功率传递矩阵对角元素和非对角元素(模态耦合项)的解析解,并进行数值计算和分析。所得解析解结果同前人发表的数值解非常吻合。     

Zn Belavin模型反射方程的多参数解

利用A_(n－1)⁽¹⁾面模型反射方程的对角解,得到了ZnBelavin模型反射方程的含有n+1个参数的解.当n=2时,其结果与侯伯宇等人给出的8项角反射方程的解是一致的.     

19顶角模型反射方程的常数解

通过直接解反射方程,给出了19顶角模型A2(2)模型反射方程的所有矩阵元非零形式以及其它几种非对角形式的常数解.     

(3+1)维 KdV 方程新的精确解和孤子解

用普通Korteweg-de Vries(KdV)方程作变换,构造(3 1)维KdV方程的解,获得了新的孤子解、Jaoobi椭圆函数解、三角函数解和Weierstrass椭圆函数解.     

一维分子链中的极化子

研究一维分子链中的极化子,考虑了晶格动力学矩阵非对角元对声子Hamiltonian的贡献,得出与原有文献形式不同的极化子解. 关键词：     

无序效应对1T-TaS_2材料中Mott绝缘相的影响

电子强关联效应使得过渡金属硫化物1T-TaS_2在低温时为Mott绝缘体,而层间堆叠错位及杂质又会引入相当强的无序效应.利用统计动力学平均场理论数值方法研究了无序效应对Mott绝缘相的影响,发现非对角跃迁无序和对角无序效应均不会引起从绝缘体到金属的相变.杂质引入的对角无序达到一定强度后Mott能隙会完全闭合,而堆叠错位引入的非对角跃迁无序不论多强都无法关闭Mott能隙.在半满情况,非对角无序会导致上下Hubard带对称地分别出现一个奇异态,而通过晶格尺寸标度研究证明了这种反常的电子态仍然是Anderson局域态.     

(2+1) 维Broer-Kau-Kupershmidt方程一系列新的精确解

借助于符号计算软件Maple，通过一种构造非线性偏微分方程(组)更一般形式精确解的直接方法即改进的代数方法，求解(2+1) 维 Broer-Kau-Kupershmidt方程，得到该方程的一系列新的精确解，包括多项式解、指数解、有理解、三角函数解、双曲函数解、Jacobi 和 Weierstrass 椭圆函数双周期解. 关键词： 代数方法 (2+1) 维 Broer-Kau-Kupershmidt 方程 精确解 行波解     

(2+1)维Broer-Kaup方程的广义dromion解结构

利用推广的齐次平衡方法,首先将(2+1)维Broer-Kaup方程线性化,然后构造出丰富的广义孤子解,包括单孤子解,单曲线孤子解,单dromion解,多dromion解。此方法直接而简单,可推广应用一大类(2+1)维非线性可积方程。     

Boundary A1(1) Face Model

In this paper, we study the boundary state and its dual state in A₁⁽¹⁾ face model with a fixed boundary weight condition, which corresponds to the diagonal solution to boundary Yang-Baxter equation in face model. We also give the correlation functions in this boundary A₁⁽¹⁾ face model.     

Mg_xZn_(1-x)O粉体的制备及性能表征

MgxZn1-xO材料是一种新型的光电功能材料,近年来受到人们的广泛关注.文章采用Sol-Gel法制备了MgxZn1-xO粉体,研究Mg含量对MgxZn1-xO结构和发光性能的影响,结果表明在x从0到1的整个区间中MgxZn1-xO样品存在六方纤锌矿与面心立方两种结构,当x＜0.2时为六方纤锌矿结构,x＞0.8时为面心立方结构,在两者之间为其混合结构;光谱分析表明不同组分的MgxZn1-xO样品均具有紫外和可见发射特性,紫外发射峰位于370～384 nm,可见发射峰位于468 nm附近;粉体的平均粒径在100 nm左右.     

Multiple-beams Mutually Pumped Phase Conjugation Generated by a Bridge Phase Conjugator in Photorefractive Ba1 - xSrxTi03 Crystal

A new method generating multiple-beams mutually pumped phase conjugation (MMPPC) in a photorefractive Bat- xSrxTiO3 crystal is demonstrated, in which a pumping beam is incident upon a-face of the crystal and two signal beams are introduced into + c face of the crystal with the almost same incident angle and position. The time evolution of the phase conjugations from signal beams and the dependence of phase-conjugate reflectivities on the input-beam intensity ratios are presented. Also, the amplitude coupled-wave equations based on the model of two interaction reigns is derived. The results obtained by numerical calculation of the corresponding coupled-wave equations show qualitative agreement with the experimental results.     

Multiple-beams Mutually Pumped Phase Conjugation Generated by a Bridge Phase Conjugator in Photorefractive Ba1-xSrxTi03 Crystal

A new method generating multiple-beams mutually pumped phase conjugation (MMPPC) in a photorefractive Bat- xSrxTiO3 crystal is demonstrated, in which a pumping beam is incident upon a-face of the crystal and two signal beams are introduced into + c face of the crystal with the almost same incident angle and position. The time evolution of the phase conjugations from signal beams and the dependence of phase-conjugate reflectivities on the input-beam intensity ratios are presented. Also, the amplitude coupled-wave equations based on the model of two interaction reigns is derived. The results obtained by numerical calculation of the corresponding coupled-wave equations show qualitative agreement with the experimental results.     

On two-point boundary correlations of the gl(1|1) supersymmetric vertex model

The gl(1|1) supersymmetric vertex model with domain wall boundary conditions (DWBC) on an N ×N square lattice is considered. We obtain the reduction formulae for the two-point boundary correlation functions of the model.     

In-phase step wandering on vicinal Si(1 1 1) surfaces

The step structure transition between a regular step and a bunched step on vicinal Si(1 1 1) surfaces induced by DC is studied by the kinetic Monte Carlo simulation in a terrace-adatom-step-kink (TASK) model. In the TASK model, effective force due to DC is taken into account explicitly on the mass transport of Si adatoms. In the diffusion-limited regime corresponding to the experimental temperature range II, step bunching is induced by step-up force and in-phase wandering of a regular step is formed by step-down force. The in-phase wandering of a regular step is formed by nucleation growth mode and the amplitude of wandering grows with time in proportion to . The period of in-phase wandering decreases as the effective force increases, consistent with the recent experimental results.     

Combined investigation of water sorption on TiO2 rutile (1 1 0) single crystal face: XPS vs. periodic DFT

XPS and periodic DFT calculations have been used to investigate water sorption on the TiO₂ rutile (1 1 0) face. Two sets of XPS spectra were collected on the TiO₂ (1 1 0) single crystal clean and previously exposed to water: the first set with photoelectrons collected in a direction parallel to the normal to the surface; and the second set with the sample tilted by 70°, respectively. This tilting procedure promotes the signals from surface species and reveals that the first hydration layer is strongly coordinated to the surface and also that, despite the fact that the spectra were recorded under ultra-high vacuum, water molecules subsist in upper hydration layers. In addition, periodic DFT calculations were performed to investigate the water adsorption process to determine if molecular and/or dissociative adsorption takes place. The first step of the theoretical part was the optimisation of a dry surface model and then the investigation of water adsorption. The calculated molecular water adsorption energies are consistent with previously published experimental data and it appears that even though it is slightly less stable, the dissociative water sorption can also take place. This assumption was considered, in a second step, on a larger surface model where molecular and dissociated water molecules were adsorbed together with different ratio. It was found that, due to hydrogen bonding stabilisation, molecular and dissociated water molecules can coexist on the surface if the ratio of dissociated water molecules is less than ≈33%. These results are consistent with previous experimental works giving a 10-25% range.     

Neutralization of Li ions scattered by the Cu (1 0 0) and (1 1 1) surfaces: A localized picture of the atom-surface interaction

Large and face dependent neutral fractions have been found recently in the scattering of Li⁺ by Cu(1 0 0) and Cu(1 1 1) surfaces. These results for high work function surfaces are unexpected within the ‘traditional’ picture of a Li⁺ ion departing from a jellium surface model. In the present work the Li⁺/Cu(1 0 0) and Li⁺/Cu(1 1 1) interacting systems are described by a previously developed bond-pair model based on the localized interactions between the projectile ion and the atoms of the surface, and on the extended features of the electronic band structure through the surface local density of states. By only including the resonant neutralization to the Li atom ground state we explained the face and energy dependences of the measured neutral fractions for large outgoing energy values. We found that the downward shift of the Li ionization level below the Fermi level caused by the short range chemical interactions, is the main responsible of a high neutralization by the resonant mechanism. The remaining differences between theory and experiment values can be explained in terms of the energy gaps and image potential states appearing in these surfaces. The calculated distance behaviours of the energy levels corresponding to the first excited (Li-1s²2p) and the negative (Li-1s²2s²) atomic configurations indicate that they can also participate in the ion-surface charge exchange process.     

Cu掺杂LaMn1－xCuxO3体系的磁转变和导电行为研究

系统研究了LaMn_1-xCu_xO₃(x=0.05，0.10，0.20，0.30，0.40)体系的磁转变和导电行为.结果表明，在LaMnO₃反铁磁母体中掺杂极少量的Cu(x=0.05)使该体系在157K左右出现强的铁磁转变，随着Cu掺杂浓度的增加，居里温度逐渐降低，而铁磁性则是先增强后减弱.与磁特性相对应，样品的电阻率随着Cu掺杂浓度的增加表现出先减小后增大的特征，并且在整个测量温区内始终呈现绝缘体型导电行为——从顺磁绝 关键词： 1-xCu_xO₃')" href="#">LaMn_1-xCu_xO₃ 导电行为 磁特性     

Simulating the immune response to the HIV-1 virus with cellular automata

Two cellular automata models are presented which simulate the immune response to the HIV-1 virus at the early stage of the infection. The simple model A is based on the generalized nearest neighbor interaction, and the complex model B on the explicitly defined local interactions between the neighboring sites. These two models are discussed in the context of related work by Pandey.