稠密气固两相QL-EMMS曳力模型及改进

通过引入颗粒加速度,改进现有EMMS曳力模型中的颗粒受力平衡关系,耦合流动的整体参数、局部参数与曳力,提出了基于流态化多尺度最小能量原理的QL-EMMS曳力模型.实验检验表明,模型精度高,普适性好.进一步采用O-S经验曳力模型的单峰函数,修正了颗粒团直径公式,改进后的QL-EMMSn模型更加合理地体现了非均匀曳力变化的...     

Structure of ^6He in the frame of a cluster model

A microscopic cluster model with a fully correlated Gaussian basis is developed. In the model, the stochastic variational method is used in order to calculate the ground-energy and the mean-square radius conveniently. Based on this model, the ground-energy level and radius of the neutron halo nucleus, ⁶He, are calculated as a α+n+n three-cluster model. The results are in good agreement with the experimental data.     

Resonance response of a single-degree-of-freedom nonlinear vibro-impact system to a narrow-band random parametric excitation

The resonant response of a single-degree-of-freedom nonlinear vibro-impact oscillator with a one-sided barrier to a narrow-band random parametric excitation is investigated. The narrow-band random excitation used here is a bounded random noise. The analysis is based on a special Zhuravlev transformation, which reduces the system to one without impacts, thereby permitting the applications of random averaging over "fast" variables. The averaged equations are solved exactly and an algebraic equation of the amplitude of the response is obtained for the case without random disorder. The methods of linearization and moment are used to obtain the formula of the mean-square amplitude approximately for the case with random disorder. The effects of damping, detuning, restitution factor, nonlinear intensity, frequency and magnitude of random excitations are analysed. The theoretical analyses are verified by numerical results. Theoretical analyses and numerical simulations show that the peak response amplitudes will reduce at large damping or large nonlinear intensity and will increase with large amplitude or frequency of the random excitations. The phenomenon of stochastic jump is observed, that is, the steady-state response of the system will jump from a trivial solution to a large non-trivial one when the amplitude of the random excitation exceeds some threshold value, or will jump from a large non-trivial solution to a trivial one when the intensity of the random disorder of the random excitation exceeds some threshold value.     

How likely is Polya's drunkard to stay in x⩾ y⩾z?

In his celebrated paper, Polya has considered the random walk in the three-dimensional (cubic) lattice and showed that the probability of return to the origin is less than 1. Subsequent authors have shown that the probability is %34.053.... Here we consider the same random walk, with the restriction that the drunkard is only allowed to stay inxyz. It is shown that his probability of returning to the originand staying in the allowed region is %6.4844....     

某些稀土氧化物的高温高压合成及其结构稳定性研究

 首次用高压高温方法，在3.2~4.0 GPa，1 000~1 300 ℃下，对CeO₂-R₂O₃（R=Eu，Gd），CeO₂-Tb₄O₁₁，Pr₆O₁₁-Tb₄O₇稀土氧化物进行合成实验，得到具有F型结构的CeEuO_3.5，CeGdO_3.5，CeTbO_3.5；B型结构的CeEuO₃，CeGdO₃，CeTbO₃，PrTbO₃和P型结构的PrTbO₃。PrTbO₃是迄今自然界尚未发现，文献未见报导过的新物质。对上面的产物和NdYbO₃、PrTmO₃，利用高、低温X射线衍射实验，检测了其结构的稳定性，结果指出：从300 ℃直到1 000 ℃，发生由B型CeRO_x向F型CeRO_x（R=Eu，Gd，Tb）、B型PrTbO₃向C型PrTbO₃的结构转变。F型CeRO_x属于氧缺位萤石型结构。     

改进的光波导标量近似有限元分析

本文首次将波矢量的匹配条件应用于标量近似有限元法求解条形波导,从而将二维问题简化成两个一维问题.其结果除了具有标量近似有限元法的一切优点外,还为节省计算机的存储和时间提供了一条新的途径.     

软X射线条纹相机用于激光等离子体辐射温度的测量方法

本文提出了软X射线条纹相机与吸收膜相耦合测量等离子体温度的实验原理与方法,编制了数值计算程序SCC,给出了平面金靶在1.06μm激光(LF—II~=激光装置)作用下,靶面功率密度约10~(14)W/cm~2的辐射温度。并对温度处理中存在的误差,以及把此方法推广到能谱的时间分辨和温度的空间分辨测量中的可能性进行了讨论。     

Superdegenerate point in FCC phase diagram: CVM and Monte Carlo investigations

We investigate the topology of the phase diagram of binary alloys on the fee lattice with first-neighbor antiferromagnetic interactions around the superdegenerate point, where the L1₀ and L1₂ phases meet. We treat the system as a hard-constraint lattice gas, following a procedure previously described by Lebowitzet al. We perform cluster variation method calculations in theT0 limit and Monte Carlo simulations directly atT=0 K on the ground states of the superdegenerate point. We find that: (i) there is no disordered phase in the neighborhood of this point; (ii) a phase L for which two of the four cubic sublattices have the same average occupancy and each of the two others are different appears between L1₀ and L1₂; (iii) the transition L/L1₂ is of first order.     

Transient dynamical behavior and phase transitions in magnetic systems

It was recently suggested that transient dynamical properties were of some use to predict equilibrium critical properties of 2D and 3D models of statistical mechanics on the lattice. We investigate such dynamical properties for three related models with competitive interactions, namely the ANNNI model, the brickwork model, and the BNNNI model. In spite of known differences in their equilibrium phase diagrams, our simulations display similar transient dynamical behaviors for all three models. The reliability of this method for probing equilibrium properties seems therefore questionable even for rather simple magnetic models without any structural disorder.On leave from Centre de Physique Théorique, Ecole Polytechnique, 91128, Palaiseau Cedex, France.     

航天光学遥感器像移速度矢计算数学模型

随着地面影像分辨力愈来愈高的要求,航天光学遥感器实时精确补偿摄影时地物产生的像移,已成为必需解决的关键技术之一。论述了航天光学遥感器在对星下点摄影时,通过建立从地面景物到像面的七个坐标系,进行14次线性变换,获得了具有15个参量的像面位置方程、像面速度方程,推导出像面上像移速度矢的计算公式,对影响像移速度矢的11个参量进行误差分配,以及应用蒙特卡罗法(统计试验法)进行误差综合。该理论方法已得到了实际应用,从获得的遥感图像达到的分辨力、奈奎斯特(Nyquist)频率处的传递函数、信噪比和平均灰度层次均充分证明了该研究结果的正确性。