查询词典 anisotropy

By employing the Jordan-Wigner transformation and a modified mean field method, we are able to determine its ground-state quantum phase diagram approximately. The chapter IV is the main part of this Thesis. It contains the main innovations in our work. We propose and study in detail a S=1 Ising chain with the interplay of single-ion anisotropy and dimerization. The main results and innovations are the following: We show that the total number of the zero-component of spins at each site is a conserved quantity. This quantity, which may intuitively called as hole's quantum number, is hidden in the system. We show further that the hole's number in the ground-state is zero; By using the Jordan-Wigner transformation, we map this model onto a series of subsystems described by the spin 1/2 dimerized transverse Ising model. We solve the subsystems exactly, by presenting the exact wave functions and spectra;We show that this system exhibits a series of quantum phase transitions by varying the dimerization strength. We determine the quantum critical points exactly. We also show that the criticality is the same as that of the uniform S = 1/2 transverse Ising chain.

第四章是本文的重点及主要创新内容，我们具体研究了自旋为1的在横向单离子晶格场中的一维二聚化Ising链，我们得到的主要结果和创新之处是：(1)证明了这一模型具有一种隐藏的对称性，即自旋第三分量为零的格点数目是一个守恒量，并证明基态出现在空穴数目为零的子空间中；(2)利用Jordan-Wigner 变换将此模型变换到一系列自旋为1/2的横磁场中的二聚化Ising 模型，并给出了相应严格的波函数及能谱；(3)我们发现系统的基态随着二聚化强度的变化将呈现出一系列量子相变，我们得到了量子临界点的精确位置，并证明其临界性质与自旋为1/2的横磁场中的均匀Ising 链中的临界行为属于同一普适类。

The Unified Tire Model for combined slip considering the anisotropy of slip stiffness and friction coefficient is established in chapter three. A more general tire model considering the complex deformation of tire carcass is presented as well.

第三章推导了考虑轮胎纵滑、侧偏刚度明显不同以及摩擦系数各向异性时的联合工况下的统一模型，并给出了考虑胎体复杂变形的更一般情况下的轮胎模型。

We find that,because of the strong spatial anisotropy of theelectron hoppings,the on-site Coulomb interaction has different effects on these magnetic orderstates.

此外，我们发现是格点和最近邻库仑相互作用的联合作用使得CE相变成相对稳定的相。

Results from the study of population spatial heterogeneity on cotton aphids and ladybirds in different directions show that both cotton aphids and ladybirds displayed similar the semi-variogram models in four directions, but the range of aphids and ladybirds model are different, it belongs to the geometric anisotropy.

对不同方向上棉蚜种群空间异质性研究表明：棉蚜、瓢虫在四个方向上的半变异函数拟合的模型相同，但空间依赖范围却不同，属几何性的各向异性。

Magnetic sus- ceptibility of these formations was obviously lower than the Archean high-graded metamorphic crystalline basements, while the responding ductile shear zones created enhanced anisotropy magnetic susceptibility attributed to their penetrative mineral lineations, both of them contributed to the crustal scale NEE-NNE striking linear aeromagnetic anomalies.

不同规模的古元古代活动带彼此并不相连，以发育变质沉积-火山岩建造为主体，岩石磁化率明显低于太古宙高级变质结晶基底，与之相关的韧性剪切带则以其透入性矿物线理产生了增强的磁化率各向异性，两者共同构建了地壳尺度北东东-北北东向线性航磁异常带。

The model of a single domain under in-plane uniaxial anisotropy is introduced to describe the GMI effect of sandwiched film. The theory is based on solving Maxwells equations and the linear Landau-Lifhitz-Gilbert equation simultaneously.

首先，在考虑各向异性场及其交变部分的基础上，通过求解Landau-Lifshtiz-Gilbert方程计算出磁导率的张量形式。

In order to reduce the effect of anisotropy on location accuracy,we design an interpolation-based localization scheme and implement it on MicaZ motes.

为了降低这种各向异性对定位精度的影响，本文设计了一个基于距离和角度进行插值的定位算法，并在MicaZ节点上加以实现。

The influences of length-to-thickness ratio, material anisotropy and torsions effect on natural frequencies and buckling loads were also investigated.

分析中同时考虑了一阶和高阶横向剪切变形、转动惯量、细长比、各向异性、扭转变形等多种因素对组合梁固有频率和屈曲载荷的影响。

The mechanism of the fracture of radially oriented toriods of sintered SmCo_5has been investigated. It showed that the fracture of radially oriented toroids af-ter sintering may be caused by wild anisotropy of thermal expansion.

研究SmCo_5辐向取向烧结环体的断裂机制指出：SmCo_5的强烈各向异性的热膨胀性质决定了辐向环在烧结后的断裂。

The invention pertains to the field of fabrication of devices of various purposes, which use anisotropic films: polarizers, retarders, etc., as well as technology of obtaining coatings with anisotropy of electric conductivity, magnetic properties, thermal conduction and other physical properties.

本发明属于多用途装置的制备领域，采用各向异性晶体薄膜：偏光器、延时器等，以及制得电导率、磁性能、导热性及其它物理性能各向异性的涂层的技术。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新