Non-axisymmetric magnetostatic equilibrium with strong twisted component of magnetic field

The perturbation theory is applied further to the discussion of the equilibrium properties of a sunspot-like magnetic field with a strong twisted component. The basic state reduces to the usual one discussed extensively for the axisymmetric magnetostatic equilibrium with twisted component of magnetic field, and the perturbed state is described by two coupled equations. As the magnetic force-line is twisted, there is a magnetic tension in the azimuthal direction. In this case, the perturbed total pressure is no longer independent of the azimuthal variable θ, and the magnetic field in the dark penumbal fibril may be either stronger or weaker relatively.

Dynamics of quantum dissipation systems interacting with fermion and boson grand canonical bath ensembles: Hierarchical equations of motion approach

A hierarchical equations of motion formalism for a quantum dissipation system in a grand canonical bath ensemble surrounding is constructed on the basis of the calculus-on-path-integral algorithm, together with the parametrization of arbitrary non-Markovian bath that satisfies fluctuation-dissipation theorem. The influence functionals for both the fermion or boson bath interaction are found to be of the same path integral expression as the canonical bath, assuming they all satisfy the Gaussian statistics. However, the equation of motion formalism is different due to the fluctuation-dissipation theories that are distinct and used explicitly. The implications of the present work to quantum transport through molecular wires and electron transfer in complex molecular systems are discussed. (c) 2007 American Institute of Physics.

Twisted duality symmetry and integrability of hybrid superstring on AdS(2) x S-2

IEECAS SKLLQG

Faddeev-Jackiw canonical path integral quantization for a general scenario, its proper vertices and generating functionals

We generalize the Faddeev-Jackiw canonical path integral quantization for the scenario of a Jacobian with J=1 to that for the general scenario of non-unit Jacobian, give the representation of the quantum transition amplitude with symplectic variables and obtain the generating functionals of the Green function and connected Green function. We deduce the unified expression of the symplectic field variable functions in terms of the Green function or the connected Green function with external sources. Furthermore, we generally get generating functionals of the general proper vertices of any n-points cases under the conditions of considering and not considering Grassmann variables, respectively; they are regular and are the simplest forms relative to the usual field theory.

BRST quantization and canonical Ward identity of the supersymmetric electromagnetic interaction system

According to the method of path integral quantization for the canonical constrained system in Becchi-Rouet-Stora-Tyutin scheme, the supersymmetric electromagnetic interaction system was quantized. Both the Hamiltonian of the supersymmetric electromagnetic interaction system in phase space and the quantization procedure were simplified. The BRST generator was constructed, and the BRST transformations of supersymmetric fields were gotten; the effective action was calculated, and the generating functional for the Green function was achieved; also, the gauge generator was constructed, and the gauge transformation of the system was obtained. Finally, the Ward-Takahashi identities based on the canonical Noether theorem were calculated, and two relations between proper vertices and propagators were obtained.

Compensation effect of polyimide thin films on normally white twisted nematic liquid crystal displays

The disadvantages of Normally White Twisted Nematic Liquid Crystal Display (NW-TN-LCD) were discussed. The reason that the negative birefringent polyimide thin films were used to compensate NW-TN-LCD to decrease off-axis leakage, improve contrast ratios and enlarge viewing angles was explained in this paper. A certain polyimide thin film was taken as an example to show compensation effect on NW-TN-LCD.

A NEW SCHEME FOR ASSIGNMENT OF A CANONICAL CONNECTION TABLE

A new algorithm for deriving canonical numbering of atoms in a molecular graph has been developed. Some graph invariants, such as node properties, degree (connectivity), topological path, the smallest node ring index, etc., are encoded together to partit

Energy conversions and storage caused by an unsteady poloidal flow in active solar regions

In this paper we discuss coupling processes between a magnetic field and an unsteady plasma motion, and analyze the features of energy storage and conversions in active region. It is pointed out that the static force-free field is insufficient for a discussion of storage processes, and also the pure unsteady plasma rotation is not a perfect approach. In order to analyze the energy storage, we must consider the addition of poloidal plasma motion. The paper shows that because the unsteady poloidal flow is added and coupling occurs between the magnetic field and both the toroidal and the poloidal plasma flows, an unsteady process is maintained which changes the force-free factor with time. Hence, the energy in the lower levels can be transferred to the upper levels, and a considerable energy can be stored in the active region. Finally, another storage process is given which is due to the pure poloidal flow. The article shows that even if there is no twisted magnetic line of force, the energy in the lower levels may still be transferred to the upper levels and stored there.

A model of an isolated magnetic-flux tube in a stratified atmosphere

A two-dimensional model of a magnetic flux tube confined in a gravitational stratified atmosphere is discussed. The magnetic field in the flux tube is assumed to be force-free. By using the approximation of large scale height, the problem of a free boundary with nonlinear conditions may be reduced to one involving a fixed boundary. The two-dimensional features are obtained by applying the perturbation method and adopting the Luest-Schlueter model as the basic state. The results show that the configuration of a flux tube confined in a gravitational stratified atmosphere is divergent, and the more twisted the magnetic field, the more divergent is the flux tube.

Vortex dislocations in wake-type flow induced by spanwise disturbances

Vortex dislocations in wake-type flow induced by three types of spanwise disturbances superimposed on an upstream velocity profile are investigated by direct numerical simulations. Three distinct modes of vortex dislocations and flow transitions have been found. A local spanwise exponential decay disturbance leads to the appearance of a twisted chainlike mode of vortex dislocation. A stepped spanwise disturbance causes a streamwise periodic spotlike mode of vortex dislocation. A spanwise sinusoidal wavy disturbance with a moderate waviness causes a strong unsteadiness of wake behavior. This unsteadiness starts with a systematic periodic mode of vortex dislocation in the spanwise direction followed by the spanwise vortex shedding suppressed completely with increased time and the near wake becoming a steady shear flow. Characteristics of these modes of vortex dislocation and complex vortex linkages over the dislocation, as well as the corresponding dynamic processes related to the appearance of dislocations, are described by examining the variations of vortex lines and vorticity distribution. The nature of the vortex dislocation is demonstrated by the substantial vorticity modification of the spanwise vortex from the original spanwise direction to streamwise and vertical directions, accompanied by the appearance of noticeable vortex branching and complex vortex linking, all of which are produced at the locations with the biggest phase difference or with a frequency discontinuity between shedding cells. The effect of vortex dislocation on flow transition, either to an unsteady irregular vortex flow or suppression of the Kaacutermaacuten vortex shedding making the wake flow steady state, is analyzed. Distinct similarities are found in the mechanism and main flow phenomena between the present numerical results obtained in wake-type flows and the experimental-numerical results of cylinder wakes reported in previous studies.

鄂尔多斯高原景观要素空间格局及植物与环境关系的定量解析

鄂尔多斯高原是一个多层次、复杂的生态过渡带，具有复杂多样的环境条件、生态特点，因此也就具有复杂多样的植物与环境关系。本文从群落和景观两个尺度水平上研究鄂尔多斯高原植物或植被与环境关系及景观空间格局。利用鄂尔多斯高原野外植物群落样方调坦数据、微生境环境数据、气候数据，以典范对应分析（Canonical Correspondence Analysis, CCA）的方法分析了鄂尔多斯高原植物分布空间格局与环境要素的关系并对秋类环境要素对鄂尔多斯高原植物空间分布格局的贡献进行了定量分解;利用1:500 000 鄂尔多斯高原植被、土壤、土地利用、土地沙漠化类型等专题地图在GIS支持下分析了鄂尔多斯高原景观空间格局、并利用上述专题图数据加上鄂尔多斯高原气候数据库分析了土壤、土地利用、土地利用、土地沙漠化和气候等对鄂尔多斯高原植被空间分布格局的作用。通过分析，得到了以下主要结论： 1 在分析方法上、利用典范对应分析的方法，把植物分布的空间因素与环境因素分离的方法发展为植物分布空间格局不同类型影响因素作用的定量分离，提出了相应的概念模型和实现方法。 2 影响鄂尔多斯高原植物分布空间格局的主要微生境环境要素是基质类型、地下水位、覆沙厚度等，而影响鄂尔多斯高原分布空间格局的主要气候要素中，降水和干湿指标的作用大于温度和热量指标的作用。 3 通过对鄂尔多斯高原植物分布空间格局与环境关系的研究，以植物对微生境环境要素的反应为根据，把鄂尔多斯高原主要植物划分为4个大类群：梁地植物、沙地植物、草甸植物和耐盐植物。根据它们对气候要素的反应，把鄂尔多斯高原主要植物划分为典型草原植物、荒漠草原植物和草原化荒漠植物3大类。进一步，根据鄂尔多劳动保护高原植物与环境关系的研究，进行了鄂尔多斯高原植被功能型划分的尝试，得到了鄂尔多斯高原的12种主要植被功能型。 4 对鄂尔多斯高原植物分布的空间格局的影响环境因素的贡献作了定量地分解。分析结果显示：鄂尔多斯高原植物分布空间格局中有27.02％可由已知环境变量得到解释，其中21.56％与微生境环境要素相关，7.51％与气候要素的作用有关，而气候与微生境环境要素的耦合作用的份额为2.05％。根据植物生长是否直接受到地下水的影响，鄂尔多斯高原存在两大类型生态特点差异明显的生境类型：中性立地和隐域生境，对两大类型生境上影响植物空间分布格局的环境要素的作用也进行了定量分解。分析结果表明：对于植物生长不直接受地下水影响的中性立地，已知环境要素的作用可以解释植物空间分布格局总信息的29.36％，稍大于对总体上鄂尔多斯高原植物分布空间格局的解释，其中9.23％与气候要素相关，22.08％与微生境环境要素相关，而两种类型环境要素的耦合作用则占1.95％。对于植物生长直接受到地下水影响的隐域生境，所有已知环境要素对植物分布空间格局的贡献率为72.28％，其中气候要素的作用为30.31％，微生境环境要素的作用为49.08％，两类环境要素的耦合作用为7.11％。 5 描述景观空间格局的指数多种多样，这些能数在描述特定区域的景观空间格局时是有信息冗余的。本文对利用FRAGSTATS所获得的鄂尔多斯高原植被、土壤、土地利用、土地沙漠化等景观分量的20个景观指数实施了因子分析。通过因子分析，我们可以把描述鄂尔多斯高原景观空间格局的景观指数归并为以下8类：多样性指数、斑块多度指数、斑块类型丰富度指数、斑块面积指数、斑块形状指数、分形维数、空间配置指数和斑块面积变异指数。通过因子分析，还得到了这些景观指数对描述鄂尔多斯景观格局的共性特征：在描述鄂尔多斯高原景观空间格局时，作用最大的是多样性指数、斑块多度指数、面积加权平均斑块形状指数和面积加权平均分形维数，其次是斑块类型丰富度指数、平均分维指数、平均形状指数和斑块面积指数，而空间配置指数（扩散与毗连指数）和斑块面积变异指数的作用则比较微弱。 6 对鄂尔多斯高原景观指数的因子分析是非常有效和成功的。因子分析对鄂尔多斯高原植被、土壤、土地利用、土地沙漠化景观指数的分析分别得到了5-6个主要因子，可以表达原有20个景观指数所表达信息的91.1-96.0％，即可以反应鄂尔多斯高原景观空间格局的大部分信息。本文所进行的因子分析对因子进行了方差最大化(Varimax)正交旋转的处理，因子分析得到的每一个主要因子都有一个或几个与之相关性非常高的景观指数与之对应，因此，就可以用与因子分析所得主要因子相关性最高的景观指数代替该主要因子来表达鄂尔多斯高原的景观空间格局。另外还因为有些景观指数之间具有极高的相关系数，所以对因子分析所得到的景观指数可以进一步精减，最后利用因子分析成功地把原有20个景观指数减少到了11个。最后被选来描述鄂尔多斯高原景观格局的景观指数有下列11个：MSIEI（修正的Simpson均匀度指数）、AWMPFD（面积加权平均斑块分形维数）、AWMSI（面积加权平均形状指数）、NP（斑块数目）、PR（斑块类型丰富度）、MSI（平均形状指数）、MPFD（平均斑块分形维数）、MPS（平均斑块面积）、PSCV（斑块面积变异系数）、DLFD（双对数分形维数）和IJI（扩散与毗连指数）。 7 鄂尔多斯高原植被、土壤、土地利用在景观组成结构上具有一个共同特点，就是各种类型的面积差异极大，少数类型占有极大比重，而其余面积则很小。产生这一情形的原因主要与人为活动的强烈影响有关，表现在地带性的植被与土壤面积所占的比重不高，沙地、沙生植被与风沙土则占有很大比重。 8 以地带性植被和滩地隐域性植被表示的鄂尔多斯高原的原生植被仅占高原面积的不足30％，而以地带性土壤和滩地隐域性土壤表示的原生性土壤占鄂尔多斯高原总面积的近40％，说明土壤退化不如植被退化严重，或滞后于植被退化。 9 鄂尔多斯高原各景观指数的空间变化曲线，植被与土壤很相近，具有非常相似的格局;土地利用景观格局空间变化特征与植被、土壤等明显不同;土地沙漠化的景观格局空间变化曲线介植被曲线、土壤曲线与土地利用曲线之间，说明土地沙漠化不仅是一个受人为活动影响的过程，而且与自然过程密切相关。 10 鄂尔多斯高原景观格局的空间梯度变化表现出了东西向和南北向的梯度，但总体上以东西向的变化比较明显。 11 通过鄂尔多斯高原土壤类型、土地利用、土地沙漠化等景观要素、气候、空间要素与鄂尔多斯高原植被空间分布格局的CCA分析，探讨了它们之间的相互关系。以对鄂尔多斯高原植被组成数据的总方差解释的百分率为标准，土壤对鄂尔多斯植被分布的空间格局的作用最大，其方差贡献率可达44.28％，其次是土地利用与鄂尔多斯高原植被的关系也很密切，土地利用对鄂尔多斯高原植被空间分布格局的方差贡献率为22.45％，空间因素对鄂尔多斯高原植被空间分布格局的贡献率为17.51％，土地沙漠化对鄂尔多斯高原植被空间分布格局的贡献为15.65％，排在第四位;气候因素对鄂尔多斯高原植被空间格局的贡献率为11.95％，居第五位。 12 在气候要素对鄂尔多斯高原植被空间分布格局的作用中，降水与干湿指标的作用大于温度与热量指标的作用。这一点与利用野外调查样方的群落数据植物与气候关系的分析是完全一致的。CCA分析还表明鄂尔多斯高原植被空间格局的东西向变化大于南北向分异。 13 在群落和景观水平上，鄂尔多斯高原植物空间分布或植被格局的影响因素的作用具有相似的格局，即气候因子的作用明显地小于地质、土壤、水文等微生境环境要素（群落水平）或土壤（景观水平）的作用，并在这两个尺度上气候要素对植物空间分布或植被格局的定量解释份额上也是非常相近的，都仅有10％左右。气候因子对鄂尔多斯高原植物空间分布格局的这种弱的解释能力，从侧面说明了人为活动等非自然因素对鄂尔多斯高原植物空间分布格局的强烈作用。 14 在鄂尔多斯高原生态系统管理上，应协调人与自然的关系;加强鄂尔多斯高原的生物多样性保育，对于本区生态和经济对非常重要的滩地，应协调好对其开发利用与保护的关系;在鄂尔多斯高原土地沙漠化防治方面，应把调整人地关系与自然生态背景与条件相结合，如使用“三圈”模式等生态系统管理模式等。