Phase diagrams in mixed spin-3/2 and spin-2 Ising system with two alternative layers within the effective-field theory

The phase diagrams in the mixed spin-3/2 and spin-2 Ising system with two alternative layers on a honeycomb lattice are investigated and discussed by the use of the effective-field theory with correlations. The interaction of the nearest-neighbour spins of each layer is taken to be positive （ferromagnetic interaction） and the interaction of the adjacent spins of the nearest-neighbour layers is considered to be either positive or negative （ferromagnetic or antiferromagnetic interaction）. The temperature dependence of the layer magnetizations of the system is examined to characterize the nature （continuous or discontinuous） of the phase transitions and obtain the phase transition temperatures. The system exhibits both second- and first-order phase transitions besides triple point （TP）, critical end point （E）, multicritical point （A）, isolated critical point （C） and reentrant behaviour depending on the interaction parameters. We have also studied the temperature dependence of the total magnetization to find the compensation points, as well as to determine the type of behaviour, and N-type behaviour in Neel classification nomenclature existing in the system. The phase diagrams are constructed in eight different planes and it is found that the system also presents the compensation phenomena depending on the sign of the bilinear exchange interactions.

A Back Look on the Binary Phase Diagrams of Metals from the Mass Action Law and the Coexistence Theory of Metallic Melts

According to the mass action law and the coexistence theory of metallic melts, the mass action concentrations of Cu-Mg, Bi-Tl and Ni-Al melts involving compound formation have been calculated. The calculated results show that, except the ultimate case of pure element, when two elements are present in the melts, all structural units (atoms and molecules) without exception will be present in the melts, i.e., their concentrations may change from great to small, but they will not vanish into nothing, and only under such conditions, the calculated results both agree with practice and obey the law of mass action. In view of that over considerable wide composition range, the activities of both elements of the three solid binary alloys mentioned above have been measured, this seems in contradiction with the present relevant phase diagrams, in which the structural units are determined by composition range, so the latter needs further investigation and consideration.

非连通空间对象方向关系表达与推理

为了弥补现有的二维空间对象方向关系表达模型大都利用点、最小外包矩形等近似地代替空间对象,距离真实空间对象间方向关系的描述与推理仍存在差距的不足,提出了一种基于Voronoi图的非连通空间对象方向关系表达模型。该模型借助Gestalt心理学理论,通过提取非连通空间对象的特征点、特征链,构建空间对象间的可视区域,生成方向关系Voronoi图,实现了非连通、含洞的参考对象与目标对象间方向关系的表达。该模型较好地顾及了空间对象形状、大小等因素带来的影响,表达精度更高、适用范围更广。为了提高复杂空间对象方向关系复合推理的精度,基于该模型提出了一个非连通对象间主方向关系复合推理算法。该算法借助Tile-union运算和Pr运算,实现了该模型下基本主方向关系的复合推理,降低推理结果的不确定性。分析和验证的结果表明,提出的非连通空间对象方向关系模型及复合推理算法,提高了表达与推理的精度,完善和提高了对复杂空间对象方位关系的分析与处理能力。

基于滑窗OPTICS算法和DATA-SSI算法的桥梁模态参数智能化识别

针对现有基于数据驱动的随机子空间(data-driven stochastic subspace identification,DATA-SSI)算法存在的不足,无法实现稳定图中真假模态的智能化筛选,提出了一种新的模态参数智能化识别算法。首先通过引入滑窗技术来实现对输入信号的合理划分,以避免虚假模态和模态遗漏现象的出现;其次通过引入OPTICS(ordering points to identify the clustering structure)密度聚类算法实现稳定图中真实模态的智能化筛选,最后将所提算法运用于某实际大型斜拉桥主梁结构的频率和模态振型识别过程中。结果表明,所提改进算法识别的频率值结果与理论值(MIDAS有限元结果)以及实际值(现场动力特性实测结果)间的误差均在5%以内,且识别的模态振型图与理论模态振型图具有很高的相似性。

Planar matrices and arrays of Feynman diagrams:poles for higher k

Planar arrays of tree diagrams were introduced as a generalization of Feynman diagrams that enable the computation of biadjoint amplitudes m_(n)(^(k))for k>2.In this follow-up work,we investigate the poles of m_(n)(^(k))from the perspective of such arrays.For general k,we characterize the underlying polytope as a Flag Complex and propose a computation of the amplitude-based solely on the knowledge of the poles,whose number is drastically less than the number of the full arrays.As an example,we first provide all the poles for the cases(k,n)=(3,7),(3,8),(3,9),(3,10),(4,8)and(4,9)in terms of their planar arrays of degenerate Feynman diagrams.We then implement simple compatibility criteria together with an addition operation between arrays and recover the full collections/arrays for such cases.Along the way,we implement hard and soft kinematical limits,which provide a map between the poles in kinematic space and their combinatoric arrays.We use the operation to give a proof of a previously conjectured combinatorial duality for arrays in(k,n)and(n-k,n).We also outline the relation to boundary maps of the hypersimplex Δ_(k,n) and rays in the tropical Grassmannian Tr(k,n).

Planar matrices and arrays of Feynman diagrams

Recently,planar collections of Feynman diagrams were proposed by Borges and one of the authors as the natural generalization of Feynman diagrams for the computation of k=3 biadjoint amplitudes.Planar collections are one-dimensional arrays of metric trees satisfying an induced planarity and compatibility condition.In this work,we introduce planar matrices of Feynman diagrams as the objects that compute k=4 biadjoint amplitudes.These are symmetric matrices of metric trees satisfying compatibility conditions.We introduce two notions of combinatorial bootstrap techniques for finding collections from Feynman diagrams and matrices from collections.As applications of the first,we find all 693,13612 and 346710 collections for(k,n)=(3,7),(3,8)and(3,9),respectively.As applications of the second kind,we find all90608 and 30659424 planar matrices that compute(k,n)=(4,8)and(4,9)biadjoint amplitudes,respectively.As an example of the evaluation of matrices of Feynman diagrams,we present the complete form of the(4,8)and(4,9)biadjoint amplitudes.We also start a study of higher-dimensional arrays of Feynman diagrams,including the combinatorial version of the duality between(k,n)and(n-k,n)objects.

基于数值积分方法的铣削稳定性预测研究

针对立式加工中心铣削颤振现象,用数值积分方法预测铣削加工过程中的稳定性。首先用时滞微分方程表示受颤振影响的单、双自由度铣削动力学模型,对时滞周期进行离散;然后用数值积分方法求解时滞微分方程,依据Floquet判定铣削加工稳定性,获得稳定性叶瓣图;最后为验证数值积分方法求解的正确性,进行参数识别试验获取铣削力系数和模态参数,从求解得到的叶瓣图中选取加工参数进行试验验证。数值仿真结果表明,数值积分方法的计算效率和计算精度优于1st-SDM方法和1st-FDM方法。试验结果表明,数值积分方法的求解结果与试验结果相符,可以指导铣削工艺参数的选取,确保铣削加工稳定。

基于建构主义学习理论的物理化学课程思政探究

建构主义学习理论是建构主义与教育领域融合发展的一个重要理论成果,对于教学方法的革新有着重要的意义。本文尝试将建构主义学习理论运用于指导物理化学的课程思政建设,并以“简单的低共熔二元相图”这一知识点为例,介绍了一种在教学全过程中渗透融入课程思政的具体做法,以期在物理化学课程教学中推进“立德树人”目标的落实,为后续研究提供一个参考。

基于多链路连锁故障图的电网脆弱线路分析

为实现迅速正确地进行脆弱线路辨识,提出一种基于新型指标建立多链路事故链模型,并生成连锁故障图的分析方案。基于复杂网络理论对模型进行计算和分析,以系统负荷损失率为依据对线路脆弱性进行衡量,最后以IEEE39节点系统为算例验证了该方法的有效性。该方法突破了传统方法事故链模型建立过程中单对单线路的限制,并有效地实现了脆弱线路的辨识。

不同产地与不同生产方式的丹参药材质量相似性评价研究

本研究旨在明确不同产地、不同生产方式丹参药材的质量相似性,建立丹参药材主成分特征图谱以及色差指纹图谱,形成快速、科学的立体质量评价方法,并为丹参临床使用及不同地域药材生产提供数据参考。运用HPLC建立丹参药材指纹特征图谱质量分析方法,通过中药指纹图谱相似度评价系统和ModuleLab Chroman软件对丹参药材质量进行相似性评价及计量分析;采用主成分分析(PCA)、K最近邻法(KNN)等算法及可视化方法对样品丹参药材的色度值总体分布情况进行分析。结果显示,不同产地丹参药材共有11个共有峰,合成特征图谱相似度范围为0.894~0.999,表明不同产地样品化学成分差异较小,各产地丹参药材具有较好的相似度,但根据成分PCA得分载荷图与聚类分析显示,主成分贡献率为85.93%,其中丹酚酸B成分有较高的贡献率,说明丹酚酸B是造成不同产地差异的主要物质;主成分测定显示不同产地与不同生产方式的丹参药材总丹参酮类成分也具有较大差异,总丹参酮含量为1.358~7.515 mg/g,丹酚酸B含量为4.574~112.670 mg/g;药材颜色差异分析结果表明,不同产区丹参药材颜色具有显著差异,特别是广西地区丹参药材颜色差异更加明显,模型识别率达到93.75%。本试验评价方法能快速分辨丹参药材质量差异性,可为进一步进行临床疗效评价提供数据参考,为丹参药材生产方式以及临床应用提供思路。

Analysis on the Theory of Blow-up and Verification on Numerical Prediction of Heavy Rain in Sichuan Basin

By dint of V-3θ diagram from the Blown-up theory,a continuous heavy rain process in western Sichuan basin from July 14 to 17,2009 is analyzed in this paper.Situation field and precipitation of ECWMF and T213 are verified and discussed.Results show that V-3θ diagram can describe the heavy rain process accurately.Combining with additional conventional weather charts,experience and numerical forecast products,the heavy rain falling area is determined.The forecast accuracy of situation field of EC is significantly higher than that of T213 and the forecast accuracy of T213 for heavy rain forecast is relatively low.

基于晶体塑性有限元法的316LN不锈钢单轴力学行为

为了更准确描述316LN不锈钢单轴力学行为,在率相关晶体塑性理论框架下,以Ahmadzadeh-Varvani(A-V)随动硬化准则为基础,构建了多晶循环塑性本构模型.通过程序UMAT将其移植到有限元软件ABAQUS中,并通过Voronoi图建立二维多晶有限元模型;分别模拟了不同加载率、应变循环和非对称应力循环条件下316LN不锈钢的变形行为.对比模拟结果与实验数据可知:单轴拉伸条件下,两者的应力误差在±0.9%附近波动,最大应力误差仅为1.9%;应变循环条件下,两者的最大应力误差出现在第5圈,拉伸和压缩阶段应力误差分别为11.4%和12.2%,循环稳定后,拉伸和压缩阶段应力误差分别为7.4%和7.9%;应力循环条件下,两者的误差主要体现在滞环宽度上,模拟的滞环面积相对较窄,但滞环演化趋势误差较小.

Weyl矢量场的Feynman规则

在弯曲空间中,利用推广的 Faddeev-Popov 理论,实现了对具有定域 Scale 不变性和规范不变性理论的量子化.对加入了定域 Scale 不变性的 GWS 模型,给出了树图近似下 Weyl 矢量场的 Feynman 规则.整个讨论过程具有广义协变性.

基于模糊集和二叉决策图的装配式建筑施工安全风险评估

针对装配式建筑施工的安全风险,采用故障树分析法,识别装配式建筑施工过程中的危险源,通过应用模糊集理论和基于二叉决策图(BDD)结构的方法,能够对各个基本事件的模糊发生概率进行定量评估,从而推导出安全风险概率并确定各个基本事件的相对重要性。通过遍历BDD结构,管理人员可以有效把控装配式建筑施工中的薄弱环节和关键影响因素,实现安全风险的定性和定量分析。实证证明,引入模糊集理论和二叉决策图,能够更好地处理装配式建筑施工安全风险中的模糊性和随机性,并利用程序编程快速得到装配式建筑施工安全关键因素,提高了分析效率。

“自动控制原理”中频域串联校正的教学探讨

基于系统期望开环伯德图,阐述了滞后环节和超前环节的有利和不足。以一个系统的完整校正过程为例,给出补偿环节的类型和幅穿频率的选择,提供环节参数的公式计算,使读者能够对系统串联校正这个复杂工程问题获得更深入和全面理解。通过对“自动控制原理”课程中频域串联校正的教学内容和思路、改革措施和实践效果进行探讨,为频域串联校正教学提供一个参考。

重大改建船的原船重量重心分布推算

文章以“海州湾之星”改建船为例,演算了如何在没有初始重量重心分布的情况下,利用静力学原理推算原船重量重心分布的方法,并利用该方法得到原船空船重量重心分布,核算了改建后船舶的总纵强度,并取得船级社的认可,可为同行提供借鉴。

Influence of material models on theoretical forming limit diagram prediction for Ti-6Al-4V alloy under warm condition

Forming limit diagram (FLD) is an important performance index to describe the maximum limit of principal strains that can be sustained by sheet metals till to the onset of localized necking. It offers a convenient and useful tool to predict the forming limit in the sheet metal forming processes. In the present study, FLD has been determined experimentally for Ti?6Al?4V alloy at 400 °C by conducting a Nakazima test with specimens of different widths. Additionally, for theoretical FLD prediction, various anisotropic yield criteria (Barlat 1989, Barlat 1996, Hill 1993) and different hardening models viz., Hollomon power law (HPL), Johnson?Cook (JC), modified Zerilli–Armstrong (m-ZA), modified Arrhenius (m-Arr) models have been developed. Theoretical FLDs have been determined using Marciniak and Kuczynski (M?K) theory incorporating the developed yield criteria and constitutive models. It has been observed that the effect of yield model is more pronounced than the effect of constitutive model for theoretical FLDs prediction. However, the value of thickness imperfection factor (f0) is solely dependent on hardening model. Hill (1993) yield criterion is best suited for FLD prediction in the right hand side region. Moreover, Barlat (1989) yield criterion is best suited for FLD prediction in left hand side region. Therefore, the proposed hybrid FLD in combination with Barlat (1989) and Hill (1993) yield models with m-Arr hardening model is in the best agreement with experimental FLD.

Magnetic hysteresis, compensation behaviors, and phase diagrams of bilayer honeycomb lattices

Magnetic behaviors of the Ising system with bilayer honeycomb lattice（BHL） structure are studied by using the effective-field theory（EFT） with correlations. The effects of the interaction parameters on the magnetic properties of the system such as the hysteresis and compensation behaviors as well as phase diagrams are investigated. Moreover, when the hysteresis behaviors of the system are examined, single and double hysteresis loops are observed for various values of the interaction parameters. We obtain the L-, Q-, P-, and S-type compensation behaviors in the system. We also observe that the phase diagrams only exhibit the second-order phase transition. Hence, the system does not show the tricritical point（TCP）.

SPACE TIME ON THE POINCARE DIAGRAMS

Relations between the experience of space technology and theory of space and time are found in this paper. A nontraditional approach to the concepts of space and time is introduced. The approach is based upon the the analysis of the detailed mechanism of radar measurement and nonlinear Doppler effects as measured by an astronaut. The Lorentz factor and four-dimensional interval may be interpreted from the point of view of a space technologist. A 'geometrical mean' notion for computing time interval is introduced parallelly with the usual arithmetic mean formulas, giving results comparable with those of special relativity theory. Space time relationships are demonstrated on the Poincare diagrams.

A Study of the p-Adic Frobenius Lifts and p-Adic Periods, from a Deformation Theory Viewpoint

A canonical p-adic Frobenius lift is defined in the context of p-adic numbers, viewed as deformations of the corresponding finite field. Applications to p-adic periods are considered, including to the classical Euler gamma and beta functions and their p-adic analogues, from a cohomological point of view. Connections between various methods for computing scattering amplitudes are related to the moduli space problem and period domains.