对称Anderson晶格基态的局域方法近似

本文采用格林函数技术,计算了对称Anderson晶格的H-F基态能量,然后采用局域方法近似,计算了相关能、相关基态能量、局域磁矩、电荷涨落和自旋涨落。使用平方态密度,得到了解析表达式。结果表明,当同一格点的f-f库仑相互作用U减小或d-f杂化强度V增大,局域磁矩变小。 关键词：     

铜金属变温四端电阻实验仪

本文首次使用了数显温度可控的功率电阻作为铜金属丝的加热源,在实验中采用了双臂电桥、铜金属丝的四端电阻接线方式,不仅实现了铜金属丝的温度可控性和实时测量性,而且将铜金属温度系数的测量精度提高到3%以内.     

电化学阻抗谱法研究Cu_6Sn_5合金负极相变过程

以粗糙铜箔为基底,采用一步电沉积法获得Cu-Sn合金,X射线衍射(XRD)测试结果显示其主要为Cu6Sn5合金相.扫描电子显微镜(SEM)测试结果表明该合金表面由大量"小岛"组成,且每个"小岛"上存在大量纳米合金粒子.充放电测试结果表明,以该合金为锂离子电池负极,其初始放电(嵌锂)和充电(脱锂)容量分别为461和405 mAh·g-1.电化学阻抗谱测试结果显示,Cu6Sn5合金电极在阴极极化过程中分别出现了代表固体电解质界面膜(SEI膜)阻抗、电荷传递阻抗和相变阻抗的圆弧,并详细分析了它们的变化规律.     

基于模糊证据推理的汽车制造产业网络环境复杂性测度

环境复杂性是汽车制造产业网络复杂性的主要诱因。利用指标波动程度测度复杂性的思想,建立表征汽车制造产业网络外部环境的指标体系,构建指标变动程度的模糊信度结构模型,运用模糊证据推理算法结合熵值理论对多指标进行信息融合,并利用灰色关联分析方法评估复杂性测度结果。通过2002~2012年汽车行业数据的实证研究,结果表明:经济环境与国际环境的波动是导致汽车制造产业网络复杂性的最主要因素,技术环境和市场环境次之;近10年来我国汽车制造产业网络外部环境经历了两次较大波动,总体复杂性呈现增长趋势。本研究可为汽车产业环境复杂性测度及应对提供思路参考。     

Magnetic Properties of Transverse Ising Model under a Time Oscillating Longitudinal Field

A transverse Ising spin system, in the presence of time-dependentlongitudinal field, is studied by the effective-field theory (EFT). Theeffective-field equations of motion of the average magnetization are givenfor the simple cubic lattice (Z = 6) and the honeycomb lattice (Z = 3).The Liapunov exponent λ is calculated for discussing the stability of the magnetization and it is used to determine the phase boundary. Thedynamic phase transition diagrams in h₀/ ZJ -Γ/ZJ plane and in h₀/ZJ-T/ZJ plane have been drawn, and there is no dynamical tricritical point on the dynamic phase transition boundary. The effect of the thermal fluctuations upon the dynamic phase boundary has been discussed.     

LARGE DEVIATIONS FOR SYMMETRIC DIFFUSION PROCESSES

Let a(x)=(a_(ij)(x)) be a uniformly continuous, symmetric and matrix-valued function satisfying uniformly elliptic condition, p(t, x, y) be the transition density function of the diffusion process associated with the Diriehlet space (, H_0~1 (R~d)), where(u, v)=1/2 integral from n=R~d sum from i=j to d(u(x)/x_i v(x)/x_ja_(ij)(x)dx).Then by using the sharpened Arouson's estimates established by D. W. Stroock, it is shown that2t ln p(t, x, y)=-d~2(x, y).Moreover, it is proved that P_y~6 has large deviation property with rate functionI(ω)=1/2 integral from n=0 to 1<(t), α~(-1)(ω(t)),(t)>dtas s→0 and y→x, where P_y~6 denotes the diffusion measure family associated with the Dirichlet form (ε, H_0~1(R~d)).     

THEORETICAL CALCULATION OF THE MAGNETIC PROPERTIES IN DISORDERED GROUND STATE FOR SPIN-1/2 ANTIFERROMAGNET

The spin-1/2 quantum antiferromagnet in three-dimensional space can be described by Heisenberg model:two nearest-neighbor spins with strong interaction in z direction consistitute a dimer, every dimer can be considered as a lattice site in the tetragonal lattice. In z direction, the exchange interaction between two nearest-neighbor dimers is λ'J, and in xy plane it is 2 λJ. In bond-operator representation, within the mean-field decoupling approximation, we have calculated the phase diagram for order-disorder phase transition about λ and λ' at 0 K, obtained the critical value, λ_c=0.292, within which the disordered phase is stable in two-dimensional case(λ'=0), and found that the disordered phase is always stable for λ'<1 in one-dimensional case(λ=0). For the disordered phase, the physical quantities, such as energy gap, ground-state energy, two-point correlation functions and correlation lengths in xy plane and in z direction, have been calculated as functions of parameters λ and λ'.     

一些常见的错解剖析

从初等数学转入高等数学的学习,很多学生不能适应这个转变,常常忽视阅读教材,弄清弄懂高等数学的基本概念,定义,定理的条件,结论,而忙于解习题,完成作业,结果事倍功半,收获甚微.本文列举并分析学生作业中常见的错解,希望引起初学者的重视.     

用钕玻璃片观察吸收光谱

观察钠的吸收光谱线的实验,目前一般中学还感到困难。主要原因是用在酒精内,溶钠盐和在灯焰上撒钠盐的办法,不易得到稳定的钠蒸气,且装置和调节都比较麻烦。不易掌握,很难看到清晰、稳定的吸收光谱线。     

小时间区间中的条件扩散过程

本文讨论具有一致连续系数条件扩散过程的大偏差性质。设X(t)是具有Dirichlet空间(ξ、H_0~1(P_0~d))的扩散过程,其中 ξ(f,g)=1/2 integral from n=R~d to (〈▽f,▽g〉(x)dx)。 P_a~e是过程x_6(t)=x(∈t)满足条件x_6(0)=x,x_6(1)=y的律。那么当∈→0时,(P_(?)~(?),y)具有大偏差性质,且具有速率函数 J_(x,y)(ω)=1/2 integral from n=0 to 1(〈(?)(t),a(-1)(ω(t)),(?)(t)〉dt-1/2 d~2(x,y)。