Dynamics of the Random Ising Model with Long-Range Interaction

Critical dynamics of the random Ising model with long-range interaction decaying as r-(d+σ) where d is the dimensionality) is studied by the theoretic renormalization-group approach. The system is released to an evolution within a model A dynamics. Asymptotic scaling laws are studied in a frame of the expansion in = 2σ - d. In dimensions d ＜ 2σ. the dynamic exponent z is calculated to the second order in at the random fixed point.

一维杆状Thue-Morse(TM)准周期结构声子晶体带隙特性的研究

提出了一维杆状TM准周期结构声子晶体模型,采用有限元法计算了其带隙特性并与周期结构进行了比较。研究表明,TM序列准周期结构声子晶体可以有效地拓宽带隙宽度且能降低起始频率,而且在带隙范围内产生了具有高品质因子的局域共振模;此外还发现,不同代次的TM序列、不同排序的材料组合都不影响其带隙范围,但改变材料参数(密度和弹性模量)却能改变其带隙范围。此研究可供其在减振降噪、滤波、波导等方面的设计和实际应用参考。

汉化版Morse跌倒评估量表和HendrichⅡ跌倒因素模型量表在老年住院患者跌倒风险评估中的适用性比较

目的:比较汉化版Morse跌倒评估量表和HendrichⅡ跌倒因素模型量表在老年住院患者跌倒风险评估中的适用性。方法:采用方便抽样法,纳入341例老年住院患者,在临床实践中比较两个量表的跌倒高风险筛查率、高风险跌倒发生率、预测效度以及护士对两量表的理解和接受度。结果:研究期间共发生16例(发生率4.7%)跌倒;Morse跌倒评估量表的高风险筛查率为73.9%,高风险跌倒发生率4.8%、灵敏度75.0%、特异度26.2%。HendrichⅡ跌倒因素模型量表的高风险筛查率为35.8%,高风险跌倒发生率11.5%、灵敏度87.5%、特异度66.8%。两者高风险筛查率差异有统计学意义(P<0.001)。66.1%的护士认为HendrichⅡ跌倒因素模型量表的评估方法更好掌握,条目判定更清晰。结论:汉化版HendrichⅡ跌倒因素模型量表预测效度更好,护士接受度更高,更适合老年住院患者跌倒风险评估。

基于Morse势的可重建有限温度下太赫兹吸收谱的半经验模型

太赫兹吸收谱起源于对材料低频振动模或低频声子模的激发,强烈依赖于体系的化学组成和微观结构,它是材料的一种指纹特性.太赫兹振动激发能较低(0.414~414 meV),导致振动模对应的势能面较浅,且振动激发态可通过热涨落占据.较浅的势能面通常导致振动模非谐性较强,使得激发态吸收发生红移;结合较为明显的振动激发态占据,在温度升高时,太赫兹特征信号通常发生不同程度的红移.本文基于第一性原理振动分析,结合已有的低温太赫兹实验谱和Morse势函数,发展了一个半经验模型,用于描述低频振动模的非谐性效应.通过对嘌呤分子晶体的测试,模型可以重现不同温度下的太赫兹吸收谱;对实验结果的准确预测表明,该模型可用于分子晶体的太赫兹光谱表征.

Topological properties of tetratomic Su-Schrieffer-Heeger chains with hierarchical long-range hopping

We propose a new generalized Su–Schrieffer–Heeger model with hierarchical long-range hopping based on a onedimensional tetratomic chain. The properties of the topological states and phase transition, which depend on the cointeraction of the intracell and intercell hoppings, are investigated using the phase diagram of the winding number. It is shown that topological states with large positive/negative winding numbers can readily be generated in this system. The properties of the topological states can be verified by the ring-type structures in the trajectory diagram of the complex plane. The topological phase transition is strongly related to the opening(closure) of an energy bandgap at the center(boundaries) of the Brillouin zone. Finally, the non-zero-energy edge states at the ends of the finite system are revealed and matched with the bulk–boundary correspondence.

Lagrangian formulation of continuum with internal long-range interactions

Based on a new definition of nonlocal variable,this paper establishes the Lagrangian formulation for continuum with internal long-range interactions.Distinguished from the existing theories,the nonlocal term in the Lagrangian formulation automatically satisfies the zero mean condition determined by the action and reaction law.By this formulation,elastic wave in a rod with the internal long-range interactions is investigated.The dispersion of the elastic wave is predicted.

Some Thoughts upon Long-Range Interaction and Entangled States

The problems of long-range interaction and associated questions on entangled states are reconsidered in terms of a recently developed revised quantum electrodynamic theory by the author, as being applied to subatomic systems. There are indications that the theories of relativity and quantum mechanics do not necessarily have to be in conflict. But more investigations are required for a full understanding to be obtained on these problems.

Transcription's bubble under the influence of long-range interactions and helicoidal coupling

The influence of power-low long-range interactions （LRI） and helicoidal coupling （HC） on the properties of localized solitons in a DNA molecule when a ribonucleic acid polymerase （RNAP） binds to it at the physiological temperature is analytically and numerically investigated in this paper. We have made an analogy with the Heisenberg model Hamiltonian of an anisotropic spin ladder with ferromagnetic legs and anti-ferromagnetic rung coupling. When we limit ourselves to the second-order terms in the Taylor expansion, the DNA dynamics is found to be governed by a completely integrable nonlinear Schr？dinger （NLS） equation. In this case, results show that increasing the value of HC force or LRI parameter enhances the bubble height and reduces the number of base pairs which form the bubble. For the fourth-order terms in a Taylor expansion, results are closely resembling those of second-order terms, and are confirmed by numerical investigation. These results match with some experimental data and thus provide a better representation of the base pairs opening in DNA which is essential for the transcription process.

基于Morse理论的矿区地表模型构建方法

矿区地表模型的高效构建关系到矿区动态地表形变的监测,本文通过研究Morse理论,构建了基于Morse理论的矿区地表模型,并通过实验提取矿区形变信息,验证了该模型算法的科学合理性。该模型可以矿山的治理和生态环境的改善提供重要依据。

Existence of long-range magnetic order in Heisenberg spin nanoribbons with edge modification

Long-range magnetic order appears on a side decorated Heisenberg spin nanoribbon at nonzero temperature,although no spontaneous magnetization exists in a one-or two-dimensional isotropic Heisenberg model at any nonzero temperature according to the Mermin-Wagner theorem.By use of the spin Green's function method,we calculated the magnetizations of Heisenberg nanoribbons decorated by side spins with single-ion anisotropy and found that the system exhibits a nonzero transition temperature,whether the decorated edge spins of the system link together or separate from each other.When the width of the nanoribbon achieves infinite limit,the transition temperatures of the system tend to the same finite constant eventually whether one edge or both edges are decorated by side spins in the nanoribbon.The results reveal that the magnetism of a low-dimensional spin system is different from that of a threedimensional spin system.When the single-ion anisotropy of edge spins in a Heisenberg spin nanoribbon can be modulated by an electric field experimentally,various useful long-range magnetic orders of the system can be obtained.This work can provide a detailed theoretical basis for designing and fabricating next-generation low-dimensional magnetic random-access memory.

基于新型柔性触觉传感器的摩尔斯电码分类识别研究

触觉是人类与外界联系的重要方式,在人机交互系统中赋予机器人触觉感知能力具有重要意义。基于聚偏氟乙烯(Polyvinylidene fluoride,PVDF)的压电特性、利用3D打印技术、设计并制备了一种具有高灵敏度(15.02 mV/N)的新型压电式柔性触觉传感器。通过在传感器表面轻敲“0~9”数字的摩尔斯电码,采集3000组传感器输出的4000维电压时序信号作为实验样本集。在此基础上构建具有强大特征提取能力的卷积神经网络(Convolutional Neural Network,CNN)与门控循环单元(Gated Recurrent Unit,GRU)的融合网络模型CNN-GRU,用以实现对数字“0~9”摩尔斯电码的识别,其平均识别准确率为98.17%。实验结果表明,所研究的新型柔性触觉传感器能够准确感知并区分不同摩尔斯电码的敲击模式,具有优良时序记忆能力的CNN-GRU模型能够很好地应用于柔性触觉传感器不同接触模式的分类识别。

A risky asset model based on Lvy processes and asymptotically self-similar activity time processes with long-range dependence

In the paper, using Levy processes subordinated by ＇asymptotically self-similar activity time＇ pro- cesses with long-range dependence, we set up new asset pricing models. Using the different construction for gamma （F） based ＇asymptotically self-similar activity time＇ processes with long-range dependence from Fin- lay and Seneta （2006） we extend the constructions for inverse-gamma and gamma based ＇asymptotically self- similar activity time＇ processes with integer-vMued parameters and long-range dependence in Heyde and Leo- nenko （2005） and Finlay and Seneta （2006） to noninteger-valued parameters.

TIME SERIES MODEL OF LONG-RANGE PREDICTION AND ITS APPLICATION

By generalizing the concept of mean in mathematical statistics to a mean generation function(MGF), the extended matrix of MGF is defined and then a new model of time series is presented.A calculatingseheme for modelling of monovariate time series is deduced cooperating with a normalization procedure of vector and a couple score criterion.An example of climatic prediction for ten-year scale is given in this paper,the tendency of variation for every year can be predicted skillfully with the model.

一种姿态无关的人体模型骨骼提取方法

随着三维扫描技术的逐渐成熟,三维人体扫描模型的骨骼提取逐渐成为虚拟人建模研究领域的热点之一.现有的三维人体模型骨骼提取方法,存在手工标注任务繁重、对模型姿态过于敏感、计算结果不准确等问题.提出了一种新的三维人体模型的骨骼提取算法:首先,根据Morse原理,将测地距离作为Morse函数的要素,实现姿态无关的人体模型特征点以及拓扑结构的提取;其次,将测地距离等值面作为基础数据,采用截面似圆性判别准则提取模型关节中心所在等值面,从而获得关节中心的准确结果.实验结果表明,与已有算法相比,该方法具有模型姿态无关、计算结果准确等特性,并且能够完全自动地提取三维人体扫描模型的骨骼.

微弱高频CW信号的自适应滤波

高频电报(CW)是强噪声背景下战术应急通信的主要工作方式,由于高频信道是典型的随参信道,不可能事先已知干扰噪声的统计特性。该文提出了一种基于ARMA新息模型的CW信号自适应Kalman滤波方法,以解决高斯背景下高频电报系统干扰噪声方差未知的问题。根据CW信号的时频域特征定义状态空间随机信号模型,构造ARMA新息模型,通过在线辨识新息模型参数来估计Kalman滤波增益,实现CW信号的自适应跟踪滤波。仿真结果表明,该方法能够有效估计微弱高频CW信号时域波形,算法可递推实现,实时性强。

微波场中冶金固体废弃物脱硫脱硝的非热效应分析

从微波的非热效应对微波改性吸收剂的吸附机理进行了分析,应用莫尔斯振子模型和拉曼谱峰图,讨论吸收剂在微波改性前后莫尔斯势能的变化情况。结果显示,微波改性后吸附剂的莫尔斯势能从原样的118.59kJ/mol降至70 kJ/mol以下。

用Hugoniot数据计算高压状态方程

提出了利用Hugoniot数据、变形Morse势和Grtineisen模型来确定固体材料的高压状态方程的方法。该方法物理意义明确，表达式简洁。用此方法计算Au的高压状态方程，将所得的状态方程与Sesame数据库中Au的状态方程进行比较。发现在密度20～28g／cm3内两者吻合较好，相对误差在0～10％的范围内．表明运用Hugoniot数据结合Grtineisen模型计算材料的状态方程是很适合的。

ARMA–GARCH model with fractional generalized hyperbolic innovations

In this study,a multivariate ARMA–GARCH model with fractional generalized hyperbolic innovations exhibiting fat-tail,volatility clustering,and long-range dependence properties is introduced.To define the fractional generalized hyperbolic process,the non-fractional variant is derived by subordinating time-changed Brownian motion to the generalized inverse Gaussian process,and thereafter,the fractional generalized hyperbolic process is obtained using the Volterra kernel.Based on the ARMA–GARCH model with standard normal innovations,the parameters are estimated for the high-frequency returns of six U.S.stocks.Subsequently,the residuals extracted from the estimated ARMA–GARCH parameters are fitted to the fractional and non-fractional generalized hyperbolic processes.The results show that the fractional generalized hyperbolic process performs better in describing the behavior of the residual process of high-frequency returns than the non-fractional processes considered in this study.

矩阵代数在图书馆若干管理问题中的应用探讨

图书馆管理学可分为三部分图书馆管理理论、图书馆管理方法与技术、图书馆管理应用。这其中既有理论,又有技术方法与应用,实践性很强。而数学方法又是图书馆管理方法与技术的重要一环,本文拟从管理技术与方法的观点,浅谈矩阵代数在图书馆管理上的可能应用。

基于RLPM模型的ET反演参数在时间尺度上的敏感性分析

为研究和提高RLPM模型反演ET精度,探究各项气象参数和遥感参数对于ET反演值就时间尺度变化规律的影响,基于RLPM反演模型,采用改进的摩尔斯分类筛选法,将黄土高原2010-2015年98个站点ET值结果对NDVI、相对湿度,日照时数、气温和太阳辐射在月尺度和年尺度变化进行敏感度分析研究。研究表明除相对湿度外,各项因子的敏感系数的绝对值在夏天达到最高值,而相对湿度的敏感系数在冬季达到最高值。ET反演值对于太阳辐射的敏感性最强,对NDVI和日照时数的敏感性次之,而对气温和相对湿度的敏感性最小。