一维Anderson无序模型电子局域态

本文应用一种新方法,得到了包括次近邻相互作用,且无序点阵从五百到一万的一维安德逊无序模型电子本征态。结果表明此模型的本征态随着无序点阵的增加均从扩展态变为局域态,且变化的快慢受系统无序度的影响。     

二维胶体玻璃中玻色峰与结构无序度的关联

本文从实验上研究了胶体玻璃在相同面密度下随着体系结构无序程度的增加, 振动态密度和玻色峰的变化规律. 通过调制两种不同粒径的温敏性水凝胶的数量比来改变体系的无序程度. 通过分析无序体系的声子模式得到体系的振动特性. 研究发现, 随着无序度的增加, 态密度在低频区域增强、玻色峰增高、玻色峰的峰值向低频区域移动. 不同无序程度的样品引起玻色峰的低频声子模式都表现出准局域的特点, 且低频准局域声子模式与样品中无序结构存在关联.     

弛豫铁电体队Pb(Mg,Nb)O_3系统中有序畴的生长模型

本文基于有序-无序相变模型,从热力学上给出在的Pb(Mg,Nb)O_3系统中的有序态,同时得到了长程序参量与B位离子组份的关系曲线,并在此基础上,利用电荷平衡条件,在二维平面上和三维空间里分别提出了有序畴的生长模型。计算结果与实验结果基本符合。     

非均匀无序系统中Anderson局域化的标度理论——实空间重整化群途径

针对大量具有空间调制的无序系统,本文提出一种实空间重整化群变换方案。这个方案保证了在空间映象下相对的空间调制结构不变,因此可用以研究非均匀无序系统Anderson局域化的临界性质。在有限晶格近似下,我们对无序金属超晶格的一个简化模型求解了RG方程,得到不动点和临界指数的近似值,并发现空间调制在一定程度上引起无序系统电子局域化性质的改变。 关键词：     

二维介观环中持续电流的梯度无序效应

基于紧束缚模型,考虑无序的梯度衰减,研究了无序-有序二维介观环体系中无序梯度及结构尺寸等因素对持续电流的影响.在表面无序区无梯度衰减时,持续电流随无序度的变化先减小后增大,观察到类弹道和局域性的转变.当存在梯度衰减时,无序区部分区域无序度相应减小,对有序区产生较强散射,典型电流比没有无序衰减时偏小.有趣的是,当无序度指数衰减时,上述类弹道和局域性的转变却消失了,揭示了介观实验中能否观察到该转变与无序的梯度分布密切相关.此外,计算表明表面无序渗透的深度和环的宽度对持续电流也有重要影响,呈现奇异的量子尺寸效应.这不同于以前的理论预言. 关键词： 介观环 梯度无序 持续电流     

金属玻璃低温电阻的准粒子无序构形激发模型

根据Kubo的线性响应理论,提出一种金属玻璃低温电子输运的简单模型——准粒子无序构形激发模型。这个模型基于无序构形所引起的Fermi能级“变形”来描述强无序金属系统的低温电阻率反常行为。 关键词：     

弛豫铁电体队Pb(Mg,Nb)O3系统中有序畴的生长模型

本文基于有序-无序相变模型,从热力学上给出在的Pb(Mg,Nb)O₃系统中的有序态,同时得到了长程序参量与B位离子组份的关系曲线,并在此基础上,利用电荷平衡条件,在二维平面上和三维空间里分别提出了有序畴的生长模型。计算结果与实验结果基本符合。 关键词：     

双层有机发光二极管中复合效率和复合区域宽度的研究

本文建立了双层有机发光二极管中载流子的注入、输运和复合的理论模型.模型中采用了较合理的无序跳跃模型来处理界面问题.计算和讨论了空穴传输层厚度和内界面处的空穴势垒对器件复合效率和复合区域宽度的影响.结果表明:器件结构的变化导致电场强度在器件中的重新分布,空穴传输层厚度和内界面处空穴势垒的变化对器件的复合效率和复合区域宽度有重要影响.     

一维无序结构光子晶体的能带特性研究

通过引入结构参数a，深入研究了具有无序结构的一维二元光子晶体的能带特性。研究发现，无序结构有效拓宽了光子带隙，与均匀结构相比，拓宽率达到200％以上；无序一维光子晶体表现出从可见到红外很宽区域的高反射特性。本文还计算和分析了入射角和无序度D对光子晶体带隙的影响。     

组分调制合金的表面电子结构——CPA方法

本文在紧束缚近似下,用CPA方法结合无限级微扰理论讨论了组分调制合金的表面电子结构。数值计算包括了替位无序模型及Anderson无序模型。 关键词：     

Boundary condition model for diffractive elastic scattering

Diffractive elastic scattering is studied by a boundary condition model that does not utilize a potential model.S-matrix elements are calculated and compared to those found from an optical potential model calculation. The unitarity of the model is related to the boundary condition imposed. A radially ingoing boundary condition is imposed on the wave function at one angle only, at a scattering angle of 180 °. This condition is required to hold in the vicinity of the nuclear radius, but not for all radii. Elastic scattering peaks at forward and backward angles are reproduced and discussed. The model is applied to composite particle scattering above the Coulomb barrier.     

Exact wave field simulation for finite-volume scattering problems

An exact boundary condition is presented for scattering problems involving spatially limited perturbations of arbitrary magnitude to a background model in generally inhomogeneous acoustic media. The boundary condition decouples the wave propagation on a perturbed domain while maintaining all interactions with the background model, thus eliminating the need to regenerate the wave field response on the full model. The method, which is explicit, relies on a Kirchhoff-type integral extrapolation to update the boundary condition at every time step of the simulation. The Green's functions required for extrapolation through the background model are computed efficiently using wave field interferometry.     

Réalisabilité d'un schéma non linéaire de retour à l'isotropie de la corrélation pression-gradient d'un scalaire

The study of the equilibrium states of a homogeneous turbulence, in the absence of mean gradients, leads to an equilibrium solution with zero values for the turbulent scalar flows. Stability of this equilibrium solution is achieved by a simple condition on one of the coefficients of the model. A realisibility study of the turbulent scalar flow has been carried out an has led to a general realisibility condition imposed on the model coefficients. Moreover, it has been established that, if the return to isotropy is compatible with two supplementary constraints on the model coefficients, it is possible to substitute a sufficient yet much simpler condition for the general realisability condition. Finally, a numerical optimization on the basis of the experimental results and the direct simulation results, has proven that the proposed model ensures a better prediction of the scalar turbulence with respect to Rotta's model.     

A study on the multi-freedom broadband impedance model for time-domain simulations

The purpose of this paper is to construct a general broadband impedance model, which is suited for predicting acoustic propagation problems in time domain.A multi-freedom broadband impedance model for sound propagation over impedance surfaces is proposed and the corresponding time domain impedance boundary condition is presented.Basing on the extended Helmholtz resonator,the multi-freedom impedance model is constructed through combing with a sum of rational functions in the form of general complex-conjugate pole-residue pairs and it is proved that the impedance model is well posed.The impedance boundary condition can be implemented into a computational aeroacoustics solver by a recursive convolution technique, which results in a fast and computationally efficient algorithm.The two dimensional and three dimensional benchmark problems are selected to validate the accuracy of the proposed impedance model and time domain simulations.The numerical results are in good agreement with the reference solutions.It is demonstrated that the proposed impedance model can be used to describe the broadband characteristics of acoustic liners,and the corresponding time domain impedance boundary condition is viable and accurate for the prediction of sound propagation over broadband impedance surfaces.     

Analysis of kinetics regimes in grain boundary self-diffusion†

The evolution of self-diffusion concentration depth profiles into a bulk polycrystalline material from a thin-film tracer source was studied using the lattice Monte Carlo method. The onset of the Type-B kinetics regime from the Type-A kinetics regime was investigated for a cubic grain model, which can be expected to capture the three-dimensional nature of the problem better than the usual grain boundary slab model. The solutions of Whipple–Le Claire (derived for the constant source condition), Suzuoka (derived for the instantaneous source condition), Bokstein and colleagues (derived for the constant source condition) and Levine and MacCallum (derived for the constant source condition) are tested. All these solutions describe the tail region of the profiles well for this model (provided that a simple empirical factor in the case of the first three solutions is introduced). The intermediate Type-AB kinetics regime proposed by Divinski and Larikov between the Type-A and Type-B kinetics regimes was also investigated but could not be located from analyses of best-fit exponents. Forcing the fitting nonetheless to the tail regions shows that their analysis needs some further refinement before application to this model.     

A Remark on the Courant-Friedrichs-Lewy Condition in Finite Difference Approach to PDE's

The Courant-Friedrichs-Lewy condition (The CFL condition) is appeared in the analysis of the finite difference method applied to linear hyperbolic partial differential equations. We give a remark on the CFL condition from a view point of stability, and we give some numerical experiments which show instability of numerical solutions even under the CFL condition. We give a mathematical model for rounding errors in order to explain the instability.     

平面LED阵列远场条件研究与实验验证

平面LED(light-emitting diode)阵列远场条件是实现其光度学参数正确测量的前提,为了确定不同平面LED阵列的远场条件,基于点光源发光强度的测量原理建立了面光源光轴上的不同距离下照度与距离平方乘积的函数关系模型,用其表征面光源光轴上光场的分布规律.在此基础上利用照度平方反比定律,以及平面LED阵列远场...     

The propagation of in-plane P-SV waves in a layered elastic plate with periodic interface cracks: exact versus spring boundary conditions

The propagation of in-plane (P-SV) waves in a symmetrically three-layered thick plate with a periodic array of interface cracks is investigated. The exact dispersion relation is derived based on an integral equation approach and Floquet's theorem. The interface cracks can be a model for interface damage, but a much simpler model is a recently developed spring boundary condition. This boundary condition is used for the thick plate and also in the derivation of plate equations with the help of power series expansions in the thickness coordinate. For low frequencies (cracks small compared to the wavelength) the three approaches give more or less coinciding dispersion curves, and this is a confirmation that the spring boundary condition is a reasonable approximation at low frequencies.     

Energy conditions of the f(T,B) gravity dark energy model with the validity of thermodynamics

In this article, the analysis of Tsallis holographic dark energy(which turns into holographic dark energy for a particular choice of positive non-additivity parameter δ) in modified f(T, B) gravity with the validity of thermodynamics and energy conditions for a homogeneous and isotropic FLRW Universe has been studied. The enlightenment of the field equation towards f(T,B)=αT~m+βB~n, made possible by the fact that the model is purely accelerating,corresponds to q=-0.54(Mamon and Das 2017 Eur. Phys.J.C 77 49). The generalized second law of thermodynamics is valid not only for the same temperature inside the horizon, but also for the apparent horizon for a change in temperature. The essential inspiration driving this article is to exhibit the applicability that the holographic dark energy achieved from standard Tsallis holographic dark energy and the components acquired from f(T, B) gravity are identical for the specific bounty of constants. The analysis of energy conditions confirms that the weak energy condition and the null energy condition are fulfilled throughout the expansion, while violation of the strong energy condition validates the accelerated expansion of the Universe.With the expansion, the model becomes a quintessence dominated model. The dominant energy condition is not observed initially when the model is filled with genuine baryonic matter,whereas it appears when the model is in the quintessence dominated era.     

Spontaneous supersymmetry breaking and superconductivity in a non-relativistic model

The conjecture that supersymmetry breaking implies superconductivity is supported by the analysis of a class of supersymmetric non-relativistic models involving only fermions. Here the investigation is extened to a non-relativistic model involving both fermions and bosons, which in a sense is the non-relativistic version of the Wess-Zumino model. A sufficient condition is established for the validity of the conjecture. This condition can be possibly violated at most in a two-dimensional subspace of the three-dimensional space of the coupling constants.