逐事件分析中高阶矩统计起伏的消除

逐事件分析是目前高能重离子碰撞研究中受到广泛注意的方法.由于单个事件的粒子数有限,在运用这一方法时,首先要解决统计起伏的消除问题.在现有文献中只讨论过低阶矩(最高到三阶)统计起伏的消除.本文研究了高阶矩中统计起伏的消除,给出了普遍公式.     

一种在冲击噪声环境中基于协变异的二维波达方向估计算法

构造了一种特殊的阵列结构,定义了子阵列输出信号之间的互协变异矩阵,提出了一种在SαS噪声环境中基于分数低阶矩的二维子空间测向算法。该算法利用SαS过程具有p(p≥α)阶矩无限、而分数p(0≤p<α)阶矩有限等特点,扩展了二维测向算法的信号模型和应用环境,对加性SαS噪声有较好的抑制作用,弥补了传统的基于二阶和高阶统计量的子空间测向算法不能应用于冲击噪声环境的不足。计算机仿真验证了该算法的可行性和有效性。     

基于Krawtchouk矩和Contourlet变换的多目的水印

提出了一种基于Krawtchouk矩和Contourlet变换的多目的水印算法.首先对图像进行两级Contourlet分解,通过计算其低频分量的Krawtchouk低阶矩不变量来构建鲁棒水印,然后在剩下的带通分量中选择一个作为水印嵌入域并在其中嵌入半脆弱水印,给出了实验结果,并从水印的不可见性、抗攻击能力及篡改的定位能力三个方面进行了定量评测.实验结果表明,该算法具有很强的鲁棒性和较好的脆弱性,能同时有效地保护版权和认证图像.     

强非局域非线性介质中光束传输的厄米高斯解

利用强非局域非线性介质中空间对称实响应函数的泰勒展开简化了非局域非线性薛定谔方程 ，文章基于强非局域非线性空间中的线性模型得到了矩空间1+D(D=1，2)维的厄米高斯 型解，得到了高阶孤子波的解析式，高斯解是最低阶孤子，即基模光孤子，并得到了入射光 束的临界功率．图示展现了几个低阶光孤子解，并发现了强非局域非线性介质中存在非对称 光孤子． 关键词： 高阶孤子 强非局域介质 厄米高斯     

解析计算SM中电子混合链图传播下Compton 散射微分截面

采用电弱统一标准模型(SM), 对由参与电弱相互作用的各种混合圈构成的电子重整化链图传播子的构架方式作了详细分析, 并完成了有关解析计算, 进而获得了电子重整化链图传播子的解析计算结果. 作者又将此结果应用到Compton散射, 精确计算了电子混合链图传播下Compton散射微分截面的解析结果 . 此外, 作者还将计算结果与最低阶微分截面 和量子电动力学(QED)中电子链图传播下的Compton散射微分截面 做了具体的数值计算与对比分析, 发现 比 能更加精细的反应辐射修正效应.     

瞬时频率序列及其低阶矩的应用研究

频谱分析已被广泛应用于信号处理技术中。本文介绍了瞬时频率序列分析方法，讨论了频谱分析与时间域瞬时频率分析之间的关系．重点介绍了瞬时频率序列及其低阶矩在水声信号处理中的应用．海试及湖试结果与理论分析和计算机仿真结果一致．本文提出的瞬时频率方差估计器用于窄ＣＷ脉冲的检测可显著提高抗脉冲干扰的能力。     

ILC上ee对撞产生tt夸克对

本文结合国际直线对撞机(ILC)的实验 讨论了 湮灭产生 对过程．在具体计算过程中,本文采用一种新的计算方式,即“混合链图传播子”修正下的反应截面,首先对QED中Dyson链图传播子理论在电弱统一标准模型中做了推广,获得WS中的光子、中间玻色子混合链图传播子,进而计算了 混合链图修正下 反应总截面 ,并与单圈修正下的总截面 和最低阶总截面 做了对比分析,发现在国际直线对撞机对撞能区, 对 和 的修正很大．此外,作者还结合国际直线对撞机的对撞亮度,讨论了每年可在ILC上产生 对的事例数．     

基于Radon变换和四元数实矩阵的彩色图像零水印算法

为了提高空间域彩色图像零水印算法的水印嵌入和检测精度以及抵抗旋转几何变换的能力,提出了一种基于Radon变换和四元数实矩阵表示的抗旋转攻击空间域零水印算法。首先将原始彩色图像使用四元数实矩阵来表征,并计算实数字矩阵的Radon变换不变矩;然后利用少量低阶Radon变换不变矩来设计和构建零水印信息;在水印检测前,通过Radon变换几何校正算法对可能遭受旋转攻击的待检测图像进行旋转角度的校正,然后进行水印的提取。实验结果表明,该方法可以获得良好的图像视觉效果,对于旋转几何攻击具有很强的鲁棒性,同时对滤波、JPEG压缩和剪切攻击也具有一定的鲁棒性。     

ILC上e~+e~-对撞产生t~+t~-夸克对

本文结合国际直线对撞机(ILC)的实验讨论了e+e-湮灭产生t+t-对过程.在具体计算过程中,本文采用一种新的计算方式,即"混合链图传播子"修正下的反应截面,首先对QED中Dyson链图传播子理论在电弱统一标准模型(WS)中做了推广,获得WS中的光子、中间玻色子混合链图传播子,进而计算了γ,Z0混合链图修正下e+e-→t+t-反应总截面σchain,并与单圈修正下的总截面σloop和最低阶总截面σ0做了对比分析,发现在国际直线对撞机对撞能区,σchain对σloop和σ0的修正很大.此外,作者还结合国际直线对撞机的对撞亮度,讨论了每年可在ILC上产生t+t-对的事例数.     

跨界面目标电磁散射Sommerfeld积分的双重广义函数束拟合离散复镜像方法

混合势积分方程（mixed-potential electric field integral equation, MPIE）由于其Green函数的低阶奇异性是矩量法（MoM）等数值方法求解散射问题的主要方程.在跨界面目标的散射问题中,MPIE中的矢量势和标量势Green函数包含Sommerfeld类型的谱域积分,利用离散复镜像法（discrete complex image method, DCIM）和Sommerfeld恒等式,将其转化为有限项复镜像Green函数的求和运算,避免了烦杂的谱域积分运算. 关键词： Sommerfeld积分 离散复镜像法 广义函数束     

Molecular extended thermodynamics of rarefied polyatomic gases and wave velocities for increasing number of moments

Molecular extended thermodynamics of rarefied polyatomic gases is characterized by two hierarchies of equations for moments of a suitable distribution function in which the internal degrees of freedom of a molecule is taken into account. On the basis of physical relevance the truncation orders of the two hierarchies are proven to be not independent on each other, and the closure procedures based on the maximum entropy principle (MEP) and on the entropy principle (EP) are proven to be equivalent.     

Maximum entropy principle for rarefied polyatomic gases

The aim of this paper is to show that the procedure of maximum entropy principle for the closure of the moments equations for rarefied monatomic gases can be extended also to polyatomic gases. The main difference with respect to the usual procedure is the existence of two hierarchies of macroscopic equations for moments of suitable distribution function, in which the internal energy of a molecule is taken into account. The field equations for 14 moments of the distribution function, which include dynamic pressure, are derived. The entropy and the entropy flux are shown to be a generalization of the ones for classical Grad’s distribution. The results are in perfect agreement with the recent macroscopic approach of extended thermodynamics for real gases.     

On the Three-Dimensional Central Moment Lattice Boltzmann Method

A three-dimensional (3D) lattice Boltzmann method based on central moments is derived. Two main elements are the local attractors in the collision term and the source terms representing the effect of external and/or self-consistent internal forces. For suitable choices of the orthogonal moment basis for the three-dimensional, twenty seven velocity (D3Q27), and, its subset, fifteen velocity (D3Q15) lattice models, attractors are expressed in terms of factorization of lower order moments as suggested in an earlier work; the corresponding source terms are specified to correctly influence lower order hydrodynamic fields, while avoiding aliasing effects for higher order moments. These are achieved by successively matching the corresponding continuous and discrete central moments at various orders, with the final expressions written in terms of raw moments via a transformation based on the binomial theorem. Furthermore, to alleviate the discrete effects with the source terms, they are treated to be temporally semi-implicit and second-order, with the implicitness subsequently removed by means of a transformation. As a result, the approach is frame-invariant by construction and its emergent dynamics describing fully 3D fluid motion in the presence of force fields is Galilean invariant. Numerical experiments for a set of benchmark problems demonstrate its accuracy.     

On special solutions of second and fourth Painlevé hierarchies

In this Letter, we give special solutions of second and fourth Painlevé hierarchies derived by Gordoa, Joshi, and Pickering. We show that for certain choice of the parameters each nth member of these hierarchies has a special solution in terms of an nth order differential equation. Furthermore we derive a relation between these two hierarchies.     

On the mechanics of rim instabilities in viscoelastic polymer thin films

We determine appropriate attractors for higher than third-order central moments for the relaxation process in three-dimensional lattice Boltzmann methods. It was previously assumed that the appropriate attractors for the relaxation of these moments were their equilibria values as derived from a Maxwell-Boltzmann distribution. However, when the attractor for fourth-order central moments is derived that way, the solution of three-dimensional lattice Boltzmann differs significantly from the analytical solution of the Navier-Stokes equation for simple test cases like Poiseuille flow. We show that the Navier-Stokes solution is recovered when we chose products of low order central moments as the attractors of the higher order central moments.     

Rigorous results for two-dimensional random phonon systems

We present some rigorous sharp lower and upper bounds for the integrated phonon density of states and for the phonon specific heat of various types of two-dimensional disordered systems of masses and springs which are placed on triangular lattices. The bounds are given by quadrature formulas involving the first moments of the underlying probability distribution. We compare the results obtained for random systems up to the fourth order in moments with exact expressions corresponding to ordered systems with the same dimension and lattice structure.     

Two hierarchies of multi-component Kaup-Newell equations and theirs integrable couplings

Two hierarchies of multi-component Kaup-Newell equations are derived from an arbitrary order matrix spectral problem, including positive non-isospectral Kaup-Newell hierarchy and negative non-isospectral Kaup-Newell hierarchy. Moreover, new integrable couplings of the resulting Kaup-Newell soliton hierarchies are constructed by enlarging the associated matrix spectral problem.     

Statistical properties in the chaotic regime of the Maxwell-Bloch equations

The statistical properties of the electric field solution of the Maxwell-Bloch equations describing a single mode, homogeneously broadened laser in the mean field limit are investigated in the strange attractor regime. The electric field distribution sis calculated and it is found that the low order intensity moments are somewhat higher than those for thermal-chaotic light whilst the higher order moments are substantially lower. The field and intensity correlation functions are also calculated and found to exhibit radically different behaviour. The results are interpreted in terms of iterative map which is dederived using multiple time-scale perturbation theory. It is shown that a simple random phasor model is compatible with the numerical data.