EFFECTS OF NONHOLONOMIC CONSTRAINT ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF LAGRANGIAN SYSTEMS

After a Lagrangian system is constrained by nonholonomic constraints, the determining equations, the structure equation and the form of conserved quantities corresponding to the Lie symmetries will change. Some symmetries vanish and under certain conditions some Lie symmetries still remain.     

一类弹性和阻尼双分段非线性约束系统周期响应特性研究

考虑动态条件下的两种典型分段非线性约束, 根据广义耗散Lagrange原理建立一类具有弹性和阻尼双分段非线性约束系统动力学模型. 采用平均法求解得到系统在周期激励下的幅频响应关系. 分别比较系统在不同分段非线性约束条件下的时域响应、分岔响应和幅频响应, 得到受分段非线性约束的系统响应特性以及约束条件变化时系统响应的变化规律. 对比两种约束条件下的幅频响应, 研究得到系统稳定性受不同分段非线性因素影响及两种分段非线性约束之间的相互影响规律.     

基于发射率模型约束的多光谱辐射真温反演法

温度测量是工业生产或科学实验中保证产品质量、降低生产成本和确保实验安全的重要因素之一。目前非接触的测温方法以辐射测温法为主,二次测量法是多光谱辐射测温中一种常用的方法。但是,二次测量法不适用于实时数据处理。针对此问题,基于多光谱亮度温度数学模型引入了发射率模型约束条件,提出了一种多光谱辐射真温快速反演法。对于非黑体,根据不同波长下的亮度温度的关系,得出当亮度温度在一个区间内是增函数或者常数函数时,发射率在该区间内是增函数;当亮度温度在一个区间内是减函数时,则发射率在该区间内满足一个关于发射率和波长的不等式。该发射率模型约束条件根据亮度温度的信息,将发射率假设值的构建由多类减少到一类,避免了不必要的发射率的构建。实验分别采用实际发射率随波长单调下降、单调上升、先下降再上升、先上升再下降和随机变化的具有代表性的五个被测目标,针对两个被测温度点进行了仿真对比分析。结果表明,与二次测量法相比,对于同一个被测目标,在相同的温度初值和相同的发射率搜索范围下,新算法在保证精度的情况下,不仅所得结果相同,而且处理速度提升了19.16%～43.45%。     

Generalized statistics variational perturbation approximation using q-deformed calculus

A principled framework to generalize variational perturbation approximations (VPAs) formulated within the ambit of the nonadditive statistics of Tsallis statistics, is introduced. This is accomplished by operating on the terms constituting the perturbation expansion of the generalized free energy (GFE) with a variational procedure formulated using q-deformed calculus. A candidate q-deformed generalized VPA (GVPA) is derived with the aid of the Hellmann-Feynman theorem. The generalized Bogoliubov inequality for the approximate GFE are derived for the case of canonical probability densities that maximize the Tsallis entropy. Numerical examples demonstrating the application of the q-deformed GVPA are presented. The qualitative distinctions between the q-deformed GVPA model vis-á-vis prior GVPA models are highlighted.     

Tripartite states Bell-nonlocality sudden death in a quantum-critical environment

We demonstrate that multipartite Bell-inequalities violations can be fully destroyed in finite time in three-qubit states under a quantum-critical environment, which is an Ising model in a transverse field. We use the Mermin--Ardehali--Belinksii--Klyshko (MABK) inequality to detect the degree of nonlocality as measured by the extent of their violations. The effects of system-environment couplings, the size of degrees of freedom of environment and the strength of transverse field on the Bell-inequality violations are given for two different initial states, namely, the W class and GHZ class states. The results indicate that the Bell-inequality violations of the tripartite states will be completely destroyed by the decoherence under certain conditions.     

一种基于多目标约束的互连线宽和线间距优化模型

优化线宽和线间距已经成为改善系统芯片性能的关键技术.本文基于互连线线宽和线间距对互连延时、功耗、面积和带宽的影响,提出了基于多目标优化方法实现优化线宽和线间距的思路,并利用曲线拟合方法得到了多目标约束的解析模型.Hspice验证结果显示,该解析模型精度较高,平均误差不超过5%,算法简单,能有效弥补应用品质因数方法的缺陷,可以应用于纳米级互补金属氧化物半导体系统芯片的计算机辅助设计.     

水化磷脂层中蛋白质和多肽的高分辨固体核磁共振波谱学

有序样品的固体核磁共振(NMR)已快速发展成测定蛋白质和多肽在“仿真”水化磷脂层中高分辨结构的重要谱学方法. 由于与膜相连的蛋白质和多肽的结构、动力学和功能往往都和其周边自然环境密切相关,因此人们把蛋白质和多肽有序排列于水化磷脂层中进行固体NMR测量, 从而获得与取向相关的各向异性自旋相互作用. 这些取向约束可作为结构参数重构蛋白质在水化磷脂层中的高分辨三维结构. 近十年来在样品制备,NMR探头和实验方法方面的显著发展,极大地促进了有序样品的固体NMR的发展,并使之成为测定与膜相连的蛋白质和多肽结构的有效方法. 该综述介绍有序样品的固体NMR谱学方法,并总结此领域里的最新研究进展.