特慢扩散的一种分数阶结构导数模型

自然界和工程中存在很多比幂率慢扩散(sub-diffusion)过程更慢的扩散,即特慢扩散(ultra-slow diffusion).特慢扩散难以用传统的反常扩散建模方法来描述.Sinai(西奈)随机模型描述了一种特殊的对数关系特慢扩散.运用Mittag-Leffler(米塔格-累夫勒)函数的反函数,将Sinai扩散拓展为一般的特慢扩散.此外,该文的模型引入初始状态参量,解决了Sinai对数扩散不适用于初始时刻附近的问题.作为分数阶导数的一般情况,该文也引入了分数阶结构导数的概念,并用来建立特慢扩散的控制微分方程.

粘弹性材料特慢蠕变的局部结构导数本构模型

为描述粘弹性材料特慢力学行为,该文给出了局部结构导数本构模型。该模型以ln^(α)(1+t/τ_(0))为结构函数,物理意义清楚,能够准确描述粘弹性材料特慢力学行为的对数律依赖现象。传统整数阶和分形导数本构模型均不能描述粘弹性材料的特慢力学行为。目前,常用于粘弹性材料特慢力学行为的模型是Lomnitz模型,但该模型是一个经验本构,物理意义不清楚。为比较这4类模型在描述特慢力学行为上的差异,文章以混凝土的特慢蠕变过程为例,结合不同实验条件下的蠕变实验数据,验证了局部结构导数模型在刻画特慢蠕变行为的可行性和有效性。此外,文章也给出了特慢蠕变的局部结构导数Kelvin本构模型,并与上述的局部结构导数Maxwell本构模型进行了对比分析,给出了不同模型的适用范围。

局部结构导数及其应用

经典的导数建模方法刻画了特定物理量对时间或空间的变化率,较少直接考虑复杂系统介观时间-空间结构对其物理力学行为的重要影响.论文通过引入结构函数,提出了一种局部结构导数建模方法,以克服传统方法的不足.结构函数刻画了系统的时间-空间特征,实际上是一个时空变换,基于其上的结构导数能够描述复杂问题介观时空结构与特定物理量的因果关系,减少模型参数,降低计算成本.我们可通过问题的广义基本解或已知统计分布的概率密度函数,推导出其系统的结构函数.两类应用实例表明,基于对数结构函数的结构导数方法可以描述软物质中的特慢扩散现象,也可用来建立以Weibull分布的概率密度函数为结构函数的可靠性结构导数扩散方程.

STUDY ON THE RELATION BETWEEN STRUCTURE AND HOT CARRIER EFFECT IMMUNITY FOR DEEP SUB-MICRON GROOVED GATE NMOSFET's

Grooved gate structure Metal-Oxide-Semiconductor (MOS) device is consideredas the most promising candidate used in deep and super-deep sub-micron region, for it cansuppress hot carrier effect and short channel effect deeply. Based on the hydrodynamic energytransport model, using two-dimensional device simulator Medici, the relation between structureparameters and hot carrier effect immunity for deep-sub-micron N-channel MOSFET's is studiedand compared with that of counterpart conventional planar device in this paper. The examinedstructure parameters include negative junction depth, concave corner and effective channel length.Simulation results show that grooved gate device can suppress hot carrier effect deeply even indeep sub-micron region. The studies also indicate that hot carrier effect is strongly influencedby the concave corner and channel length for grooved gate device. With the increase of concavecorner, the hot carrier effect in grooved gate MOSFET decreases sharply, and with the reducingof effective channel length, the hot carrier effect becomes large.

Particle stratification and penetration of a linear vibrating screen by the discrete element method

A simulation of stratification and penetration was performed over a range of structural parameters that included screen width, aperture size, inclination angle, and wire diameter. The discrete element method （DEM） was used for the simulations. The terms stratification and penetration are defined and the change in fine panicle concentration is discussed. Mathematical models relating fine particle ratio to time are established using the least squares method. The effect of structural parameters on fine panicle ratio is analyzed. Stratification and penetration rate are discussed by considering the time derivative of the fine panicle ratio. The conclusions are： an increase in inclination or wire diameter has a positive effect on par- ticle stratifying; The optimal screen width is 40 mm for panicle stratification; The inclination angle has a negative effect on the penetration; The effect of wire diameter and screen width on the penetration rate is negligible.

Optimum Parameters of MgZnSSe/ZnSe BRAQ WET

A theoretical basis of optimally designed BRAQWET is pr esented. The optimum parameters of MgZnSSe/ZnSe BRAQWET are obtained by the ca lculation of band-structure according to the depletion approximation.

Influence of silicate anions structure on desilication in silicate-bearing sodium aluminate solution

The structural changes of silicate anions in the desilication process with the addition of calcium hydrate alumino-carbonate were studied by measuring Raman spectra, infrared spectra and corresponding second derivative spectra. The results show that the desilication ratio in the solution prepared by the addition of sodium silicate(solution-SS) is much greater than that in the solution by the addition of green liquor(solution-GL), and low alumina concentration in the sodium aluminate solutions facilitates the desilication process. It is also shown that alumino-silicate anions in the solution-GL, and Q^3 polymeric silicate anions in solution-SS are predominant, respectively. In addition, increasing the concentration of silica favors respectively the formation of the alumino-silicate or the Q^3 silicate anions in the solution-GL or the solution-SS. Therefore, it can be inferred that the low desilication ratio in the silicate-bearing aluminate solution is mainly attributed to the existence of alumino-silicate anions.

The Level Structures of the Kernel and Hull on Lattice—Valued Funcetions and Induced Spaces

It is studied systematically for the level strcture of the kernel and hull on continuous-lattice- calued function.In terms of these results,the level characterixations of induced space are odtained.

Transport Properties of Si and Ge Liquid Semiconductor Metals

In the present article, we study the electrical resistivity ρ, the thermoelectric power （TEP） α, thermal conductivity σ, Knight-Shifts and temperature coefficient of the Knight-Shifts of the liquid Si and Ge using the well known model potential for the first time. The structure factor used in the present work is derived from the Percus-Yevick （PY） theory. Various local field correction functions are used to study the screening influence. The present results of resistivity are found in qualitative agreement with available experimental and theoretical whenever exists.

Numerical Analysis of Neodymium Magnet Influence in Relation Induction/Weight Structures of Sumo Robots

Since neodymium magnet possesses an extremely strong magnetic field, resulting from the combination of neodymium, iron and boron, it has become the most used in designing autonomous sumo robots. When it is mounted under the structure of this robot, the magnet produces a large amount of normal force resulting from the interaction between its field lines and the steel frame of the arena, reducing the risk of slipping its wheels. Thus, the heavier a robot, the greater the difficulty for the opponent to remove it from the arena. This article explains the properties of Nd-Fe-Br magnets and analyzes the influence of these characteristics in the relation induction/weight. Additionally, to a comparative analysis, this research analyzes the positioning, geometry and polarization of the magnets under study, based on numerical results obtained using Inventor and K ＆ J Magnets Calculator software, given that these factors influence in their energetic product generation. Furthermore, more than just working with what we believe is a subject of great interest for sumo robot＇s teams, this study encourages their competitiveness, an essential factor for the competition.

Crystal structure and superconductivity at about 30 K in ACa_2Fe_4As_4F_2(A = Rb,Cs)

We have synthesized two iron fluo-arsenides ACa2Fe4As4Fz with A = Rb and Cs, analogous to the newly discovered superconductor KCazFe4As4F2. The quinary inor- ganic compounds crystallize in a body-centered tetragonal lattice with space group I4/mmm, which contain double Fe2As2 layers that are separated by insulating Ca2F2 layers. The electrical and magnetic measurements on the polycrys- talline samples demonstrate that the new materials undergo superconducting transitions at Tc = 30.5 and 28.2 K, respec- tively, without extrinsic doping. The correlations between Tc and structural parameters are discussed.

Fractal structure reconstruction for alumina-silicate refractory fiber and simulation of the thermal conductivity

In this paper, it is proved that the intemal porous structure of alumina-silicate refractory fiber has fractal characteristics, which is reconstructed by the computer and the reconstructed structure further proved to have fractal characteristics. Based on the reconstructed structure, the network-thermal-resistance model is established to calculate the thermal conductivity of the fiber. It is shown that the calculated results agree well with the previous experimental ones, proving the correctness of the method.

On convergence analysis of a derivative-free trust region algorithm for constrained optimization with separable structure

In this paper,we propose a derivative-free trust region algorithm for constrained minimization problems with separable structure,where derivatives of the objective function are not available and cannot be directly approximated.At each iteration,we construct a quadratic interpolation model of the objective function around the current iterate.The new iterates are generated by minimizing the augmented Lagrangian function of this model over the trust region.The filter technique is used to ensure the feasibility and optimality of the iterative sequence.Global convergence of the proposed algorithm is proved under some suitable assumptions.

Study of the Reconstruction of Fractal Structure of Closed-cell Aluminum Foam and its Thermal Conductivity

Based on the characteristics of the internal structure of closed-cell aluminum foam, this paper attempts to illus- trate the process of reconstructing the internal structures of closed-cell aluminum foam in Monte-Carlo method and the fractal characteristics of the reconstructed model. Furthermore, Binary Array Method is proposed by analyzing the reconstructed model and the thermal conductivity model of closed-cell aluminum foam is established. At the same time, the thermal conductivity of the foam materials with different porosity is calculated by Binary Array Method, and the calculated value coincides with the experimental results in the reference, which proves the correctness of these methods.

A Fourier spectrum-based strain energy damage detection method for beam-like structures in noisy conditions

In this paper,the Fourier spectrum-based strain energy damage detection method for beam-like structures is proposed based on the discrete Fourier transform.The classical strain energy damage detection method localizes damage by the comparison of the strain energy between the intact and inspected structures.The evaluation of the 2nd-order derivative term in the strain energy plays a crucial part in the comparison.The classical methods are mostly based on a numerical derivative estimation for this term.The numerical derivative,however,introduces additional disturbances into damage indications.To address this problem,a discrete Fourier transform-based strain energy is proposed with the emphasis of enhancing the performance in noisy condition.The validations conducted on the simulated and experimental data show that the developed method is effective enough for composite beam damage detection in noisy environments.

On Regularity of Incompressible Fluid with Shear Dependent Viscosity

The authors consider a non-Newtonian fluid governed by equations with p-structure in a cubic domain.A fluid is said to be shear thinning(or pseudo-plastic) if 1 < p < 2,and shear thickening(or dilatant) if p > 2.The case p > 2 is considered in this paper.To improve the regularity results obtained by Crispo,it is shown that the secondorder derivatives of the velocity and the first-order derivative of the pressure belong to suitable spaces,by appealing to anisotropic Sobolev embeddings.

Reconstruction of solid oxide fuel cell electrode microstructure and analysis of its effective conductivity

The effective conductivity （aeff） of solid oxide fuel cell （SOFC） electrode is an important parameter for predicting the ohmic loss in SOFC. This paper investigates the effective conductivity of SOFC electrodes recon- structed numerically by packing spherical particles in a computational domain, followed by a dilation process to simulate the sintering procedure. The effects of various parameters on the effective conductivity of the electrodes are investigated, including material composition, porosity, particle size and contact angle. Results show that the effective conductivity ratio （aeff/ao） of the computed con- ducting phase is mainly affected by its total volume frac- tion （VF） in electrode （including the porosity）. The effective conductivity can be improved by increasing the VF, electrode particle size or the contact angle between electrode particles. Based on the numerical results, the conventional percolation model for the calculation of O＇eft is improved by adjusting the Bruggeman factor from 1.5 to 2.7. The results are useful for understanding the microstructure properties of SOFC composite electrode and for subsequent electrode optimization.

Effects of QCD Vacuum and the Instanton Induced-Contributions to the Nucleon Structure Functions

The instanton induced cross section in deep inelastic kinematics is a subject which people are tendentious to investigate it. Instanton induced contributions are well defined for the nucleon structure function. The non-perturbative contribution to the quark distributions of structure function, F2（x, Q2）, is considered within an instanton model for the QCD vacuum. We find that the structure function may possess numerically large non-perterbative contributions which are related to the violation of chirality and correspond to the correction of parton distribution of the leading twist. It is shown that the instantons give a negative contribution to the structure function at the NLO approximation. A comparison between our results, considering instantaon effect, and the case when we do not take this effect is done. Taking into account the instanton size, p, via the modified running coupling constant we get to a good agreement between our results at the NLO and NNLO approximations and the available experimental data, specially at the low values of the Bjorken variable x 〈 0.1 which confirms the validity of our calculations.

Borates as a new direction in the design of oxide ion conductors

Lowering the operating temperature of solid oxide fuel cells(SOFCs)has extensively stimulated the development of new oxide ion conductors.Here,inspired by the structural commonalities of oxide ion conductors,the inability to accommodate oxygen vacancies in the rigid,isolated,3-fold tetrahedral rings of SrSi/GeO_(3)-based materials,and the considerable flexibility of BO_(n) polyhedra in terms of coordination number,rotation,deformation,and linkage,we report the first borate-base family of oxide ion conductors,(Gd/Y)_(1−x)Zn_(x)BO_(3−0.5x),through combined computational prediction and experimental verification.The oxygen vacancies in(Gd/Y)BO_(3)can be accommodated by forming B_(3)O_(8)units in isolated,3-fold,tetrahedral rings of B_(3)O_(9)and transported through a cooperative mechanism of oxygen exchange between the B_(3)O_(9)and B_(3)O_(8)units,which is assisted by the intermediate opening and extending of these units.This study opens a new scientific field of the borate system for designing and discovering oxide ion conductors.