Monte Carlo Simulation of the Non-universal Short-Time Behavior for a Kinetic 2-D Ising Model

The short-time dynamic process for the two-dimensional Ising model with the nearest-neighbor coupling and the next-nearest-neighbor antiferromagnetic coupling in the critical domain is simulated by the Monte Carlo method. From the power law behavior of the initial order increase, the critical points and the initial dynamic exponent θ are determined.     

TWO-DIMENSIONAL ANGULAR MOMENTUM AND FERMION IN THE FIELD OF MAGNETIC-FLUX-TUBE

In this paper, we showed that the eigenvalues of two-dimensional angular momentum of a particle with charge a are integer valued. The problems of a Dirac particle in a field of vortex were discussed. When the vortex tends-to string, we found that the system admits of the existence of θ vacua. For massless fermions, a change in θ is equivalent to a Γ_s rotation, while the physical result is independent of θ. For massive fermions, CP invariance is broken except for θ=0,π; and the system exhibits the Witten effect.     

From Continuous to First Order Phase Transition in a Generalized XY Model

A generalized XY model with interaction V(θ) = 2 J{1 - [cos² (θ/2)]^p2} is studied by Monte Carlo renormalization group method on two-dimensional random triangle lattice. For p = √2, a line of fixed points has been found. It characterizes that there is a Kosterlitz-Thouless phase transition. For p = 2, a first order phase transition has been found. Both of them show the relationship between the nature of phase transition and the class of interactions.     

化学气相沉积中影蔽效应对硅薄膜表面形貌和微结构的影响

采用斜入射热丝化学气相沉积技术(OAD-HWCVD),研究了气流入射角度(θ)对氢化非晶硅(a-Si:H)薄膜表面和微结构的影响.实验发现,薄膜厚度为1μm时,均方根粗糙度与tanθ成指数关系;在入射角度为75°时,薄膜表面由自仿射表面转变为mound表面.采用拉曼谱和红外谱表征了硅薄膜的微结构随气流入射角度的变化.在薄膜转变为mound表面生长之前,随入射角度的增加,准局域的影蔽效应使得薄膜中微空洞的数目及尺寸增加,导致薄膜微结构因子升高、致密度下降、薄膜质量变差.在薄膜转变为mound表面生长之后,非局域的影蔽效应导致大尺度的空洞,同时薄膜中以Si-Hn(n 2)形式存在的氢增多.本文以非晶硅薄膜为例,结合标度理论,分析了薄膜生长过程中的表面形貌和微结构与影蔽效应的关系.     

θ-ANGLE AND THE THREE-DIMENSIONAL CHERN SIMONS TERM

Compactification of the θ-term for QCD in the high temperature limit leads to a relation between θ-angle and the gluon magnetic mass μ. The quantization on θ-angle at high temperature arises from the quantization on μ.     

Thermal transport in twisted few-layer graphene

Twisted graphene possesses unique electronic properties and applications, which have been studied extensively. Recently, the phonon properties of twisted graphene have received a great deal of attention. To the best of our knowledge,thermal transports in twisted graphene have been investigated little to date. Here, we study perpendicular and parallel transports in twisted few-layer graphene(T-FLG). It is found that perpendicular and parallel transports are both sensitive to the rotation angle θ between layers. When θ increases from 0° to 60°, perpendicular thermal conductivity κ_(||) first decreases and then increases, and the transition angle is θ = 30°. For the parallel transport, the relation between thermal conductivity κand θ is complicated, because intra-layer thermal transport is more sensitive to the edge of layer than their stacking forms. However, the dependence of interlayer scattering on θ is similar to that of κ⊥. In addition, the effect of layer number on the thermal transport is discussed. Our results may provide references for designing the devices of thermal insulation and thermal management based on graphene.     

Laser-Plasma Interaction in Presence of an Obliquely External Magnetic Field: Application to Laser Fusion without Radioactivity

In this paper, the nonlinear interaction of ultra-high power laser beam with fusion plasma at relativistic regime in the presence of obliquely external magnetic field has been studied. Imposing an external magnetic field on plasma can modify the density profile of the plasma so that the thermal conductivity of electrons reduces which is considered to be the decrease of the threshold energy for ignition. To achieve the fusion of Hydrogen-Boron (HB) fuel, the block acceleration model of plasma is employed. Energy production by HB isotopes can be of interest, since its reaction does not generate radioactive tritium. By using the inhibit factor in the block model acceleration of plasma and Maxwell's as well as the momentum transfer equations, the electron density distribution and dielectric permittivity of the plasma medium are obtained. Numerical results indicate that with increasing the intensity of the external magnetic field, the oscillation of the laser magnetic field decreases, while the dielectric permittivity increases. Moreover, the amplitude of the electron density becomes highly peaked and the plasma electrons are strongly bunched with increasing the intensity of external magnetic field. Therefore, the magnetized plasma can act as a positive focusing lens to enhance the fusion process. Besides, we find that with increasing θ-angle (from oblique external magnetic field) between 0 and 90°, the dielectric permittivity increases, while for θ between 90° and 180°, the dielectric permittivity decreases with increasing θ.     

Optimization of Neutrino Oscillation Parameters Using Differential Evolution

We show how the traditional grid based method for finding neutrino oscillation parameters m2 and tan 2θ can be combined with an optimization technique,Differential Evolution(DE),to get a significant decrease in computer processing time required to obtain minimal chi-square(χ2) in four different regions of the parameter space.We demonstrate efficiency for the two-neutrinos case.For this,the χ2 function for neutrino oscillations is evaluated for grids with different density of points in standard allowed regions of the parameter space of m2 and tan 2θ using experimental and theoretical total event rates of chlorine(Homestake),Gallex+GNO,SAGE,Superkamiokande,and SNO detectors.We find that using DE in combination with the grid based method with small density of points can produce the results comparable with the one obtained using high density grid,in much lesser computation time.     

Four-Level Transition Analysis of the Polar Kerr Effects in Ferrornagnetics

In ferromagnetics, besides originating from the splitting of the excited state resulting from the spin-orbit interaction, magneto-op tical effects also stem from the splitting of the ground state caused by the exchange interaction and the applied field. Theoretical calculation according to this view shows that, in ferromagnetics, there are electron transitions corresponding to two pairs of left- and right-handed circularly polarized lights, and the polar Kerr rotation θ_κ depends linearly on magnetization M in both regions of low temperature and high temperature for the material with high Curie temperature T_c. When considering the different oscillator strengths in normal temperature region between the above two regions, we obtain the expressions of θ_κ as forms similar to θ_κ ≅∑_n=0α(M/T)ⁿ and θ_κ≅∑_n=0βM^n+l/Tⁿ.     

不同核轴取向的O2的高次谐波

分子的高次谐波是强场超快物理的重要研究课题. 采用建立在形式散射理论基础上的频域方法计算了O₂在线偏振激光场下的高次谐波, 探讨了核轴被准直在与激光传输方向垂直的平面内时, 高次谐波随核轴与光电场偏振方向所成夹角θ₀的依赖关系. 结果表明: 各次谐波都是在θ₀约为45°时强度最大, 并有较宽的峰值宽度; 当偏离此角度, 高次谐波的强度变小; 到达平行或垂直取向时, 降到最低. 分析表明, 这是由于高次谐波的强度取决于分子基态的电子在动量空间中的电场方向的布居. 针对核轴被准直在激光传输方向与电场偏振方向所确定的平面内的情况, 计算了高次谐波随θ₀的依赖关系, 结果与前一种情况基本相同. 分析发现, 当核轴被准直固定后, 分子绕核轴旋转的角度ψ没有固定, 所以最后的高次谐波强度需要对不同的ψ 时的高次谐波的贡献求和平均. 平均后相当于波函数相对于核轴旋转对称, 从而导致O₂的高次谐波仅与θ₀有关, 而与核轴被准直在哪个面上无关.     

倾斜沙漏流与颗粒休止角研究

本文发现在测量误差内颗粒物质的下列三个临界角度相等: 1)从直径为D的倾斜孔洞流出的Beverloo颗粒流的流量开始停止的临界倾角θ_c 向大孔径极限线性外推θ_c∞≡θ_c(D→∞) 的补角θ_s∞= 180°-θ_c∞;2) 从靠近堆顶的点源向光滑底板缓慢下落颗粒形成的圆锥形堆的休止角θ_r; 3) 直接剪切矩形颗粒固体测得的库仑内摩擦角φ. 该结果倾向支持倾斜孔洞和颗粒堆自由表面的固-液转变与颗粒固体内部的库仑屈服均来自材料的同一临界性质. 由于三种情况样品的内部应力和变形等都是目前还远不能定量分析的复杂非均匀分布, 我们仅从定性角度对此给出一些讨论.     

Effects of Ellipticity Angle on Modulation Instabilities in Birefringent Optical Fibers

Previous studies on modulation instabilities(MIs) in birefringent optical fibers focus on the ordinary linearly and circularly ones. This paper reports an analysis of MIs in the general elliptically birefringent fibers with the emphasis on investigating the effects of ellipticity angle(0? ≤θ≤ 90?). Both symmetric and antisymmetric CW states are considered. In the anomalous dispersion regime, for the symmetric(antisymmetric) CW states, we show that MI gain increases dramatically(reduces first and then enhances greatly) as the increment of θ. In the normal dispersion regime, for the both CW states, the distinctive feature is that the gain of the MI bands reduces first, vanishes at θ = 45?,reappears across this ellipticity angle, and quickly increases after then.     

The Universality of Dynamic Exponent θ' Demonstrated by the Dynamical Two-Dimensional Ising Model

By means of Monte-Carlo simulation, we calculate the dynamic exponent θ', which governs the initial slip in the critical. relaxation, in triangular lattice with both heat-bath and Metropolis dynamical algorithms. Our best estimation for θ' is 0.1934(6) with the heat-bath algorithm and 0.195(2) with Metropolis algorithm. Comparing also to the results obtained in squeare lattices, we conclude that the universality hypothesis is consistent in our calculation.     

Thermoelectric Phenomena in a Quantum Dot Attached to Ferromagnetic Leads in Kondo Regime

We have studied the thermoelectric properties through ferromagnetic leads-QD coupled system (F-QD-F) in the Kondo regime by nonequilibrium Green's functions method. The spin-flip effect induced by ferromagnetic leads and Kondo effect influence the thermoelectric properties significantly. The peak-valley structure emerges at the low temperature due to Kondo resonance, and the peak-valley structure also relies on the polarization angle θ, the spin-dependent linewidth function Γ_γσ and the energy level of QD ε_d. Novel resonant peak also emerges in the curve of ZT_c versus polarization angle θ. The Kondo effect suppresses the figure of merit ZT_c and the spin-dependent figure of merit ZT_s. In addition, the spin-dependent figure of merit ZT_s is relate with the gap between Γ_γ↑ and Γ_γ↓.     

FROM THREE-TORUS TO FRACTAL AND THEN TO CHAOS

We use numerical methods to study the model x(n+l)=λx(n) (x(n)-1)+ef(θ(n),φ(n)),θ(n+1)=θ(n)+A, φ(n+1)=φ(n)+B. As e is small, we get doubled three-tori. Increasing e the tori become fractal three-tori, the dimension is not integer, while the trajectory does not diverge exponentially. Finally it changes into chaos. The critical parameter values.for chaos are approximately calculated. So one of the roads from three-tori to chaos is three-tqri→fractal three-tori (not chaos)→chaos.     

Exact Solutions of Schrödinger Equation with Improved Ring-Shaped Non-Spherical Harmonic Oscillator and Coulomb Potential

We propose improved ring shaped like potential of the form, V(r,θ)=V(r)+(?²/2Mr²) [(βsin²θ +γcos²θ +λ)/sin θcosθ]² and its exact solutions are presented via the Nikiforov-Uvarov method. The angle dependent part V(θ)=(?²/2Mr²) [(βsin²θ +γcos²θ +λ)/sin θcosθ]², which is reported for the first time embodied the novel angle dependent (NAD) potential and harmonic novel angle dependent potential (HNAD) as special cases. We discuss in detail the effects of the improved ring shaped like potential on the radial parts of the spherical harmonic and Coulomb potentials.     

Short-Time Dynamics of the Random n-Vector Model

Short-time critical behavior of the random n-vector model is studied by the theoretic renormalization-group approach.Asymptotic scaling laws are studied in a frame of the expansion in ε = 4 - d for n ≠ 1 and √ε for n = 1respectively.In d ＜ 4,the initial slip exponents θ′ for the order parameter and θ for the response function are calculated up to the second order in ε ＝ 4 - d for n ≠ 1 and √ε for n ＝ 1 at the random fixed point respectively.Our results show that the random impurities exert a strong influence on the short-time dynamics for d ＜ 4 and n ＜ n_c.     

第Ⅰ类多模叠加态|ψ1(3)〉q中广义磁场的高次和压缩

构造了由多模相干态|{Z_j} > _q、多模真空态|{O_j} >_q和多模相干态的相反态|{-Z_j} > _q三者的线性叠加所组成的第Ⅰ类三态叠加多模叠加态光场|ψ₁⁽³⁾ > _q,利用多模压缩态理论,研究了态|ψ₁⁽³⁾ > _q中广义磁场分量的等幂次高次和压缩效应.结果发现:态|ψ₁⁽³⁾ > _q是一种典型的三态叠加多模非经典光场;当各模的初始相位和 满足一定的取值条件、并且态|ψ₁⁽³⁾〉_q中任意两态的态间初始相位差(θ_pq^(R)-θ_0q⁽⁰⁾)、(θ_nq^(R)-θ_0q⁽⁰⁾)和(θ_pq^(R)-θ_nq^(R))等分别在各自的闭区间内连续变化时,则态|ψ₁⁽³⁾ > _q的广义磁场分量(即第一正交相位分量)总可分别呈现出周期性变化的、等幂次的奇数模-偶数次、偶数模-奇数次、偶数模-偶数次或者奇数模-奇数次的高次和压缩效应.     

反应物分子初始振动激发对H+CH~+→C~++H_2反应的影响

在CH_2~+体系的电子基态势能面上运用准经典轨线方法,研究了当碰撞能E=500 me V时,反应物分子的振动激发对H(~2S)+CH~+(X~1Σ~+)→C+(~2P)+H_2(X1_gΣ~+)反应的反应概率、反应截面和立体动力学性质的影响.分别计算了两矢量相关k-j′的P(θ_r)分布,三矢量相关k-k′-j′的P(φr)分布以及反应产物的四个极化微分截面.结果表明,产物分子转动角动量不仅在Y轴方向有取向效应,还定于Y轴的正方向.并且发现,随着振动量子数的增加,对反应体系产物分布的影响就越明显.     

基于复合抛物面集光器的LED教室灯具的配光设计

为了对LED教室灯具配光,建立了复合抛物面集光器配光系统。分析了LED光源发光特性,阐明了对LED光源进行二次配光的必要性。建立了三维复合抛物面集光器（CPC）模型,并由边缘光线原理计算得出三维复合抛物面集光器（CPC）模型各参数与最大出射半角m的关系,分析了m的制约因素。由阅读灯照度均匀度要求,确定了复合抛物面集光器（CPC）模型各参数的值,在光学分析软件Tracepro中建立了CPC模型,将LED光源置于其焦平面上,结合教室桌面与灯具距离,模拟了基于CPC配光的LED教室灯具的照度分布。试验结果表明,CPC配光系统最大出光半角为30时,光照均匀度超过0.7,满足建筑照明设计标准 GB 50034 2004对阅读照明的要求,该灯具有效光通可达95%以上。