The influence of lattice structure on the dynamic performance of metal hollow sphere agglomerates

This paper addresses the dynamic performances of partially bonded or unbonded metallic hollow sphere structure (MHSS). Under the condition that the densities of MHSS are the same, three morphologies, that is, simple cubic (SC), body-centered cubic (BCC) and face-centered cubic (FCC) are investigated to see the topological effect of lattice structure on the dynamic performance of MHS agglomerates.     

Thermodynamic properties and rheology of sterically stabilized colloidal dispersions

A procedure for predicting thermodynamic, dynamic, and rheological properties of polymerically stabilized colloidal dispersions in good solvents by mapping onto an effective hard sphere dispersion is investigated and evaluated for its range of applicability. Configurational pressures and energies, calculted by Monte Carlo simulations, are used to assess the model's accuracy for predicting thermodynamic data. Similarly, long-time self-diffusivities, calculated by equilibrium Brownian Dynamic simulations, are used to assess the model's feasibility for predicting dynamic properties. Finally, zero shear viscosities are calculated by the method of hydrodynamic preaveraging and compared to rheological measurements. The various testing methods demonstrate the effectiveness of the procedure and suggest the model's range of applicability. Received: 13 March 2000 Accepted: 28 June 2000     

Some considerations for high‐order ‘incremental remap’‐based transport schemes: edges,reconstructions, and area integration

The problem of two‐dimensional tracer advection on the sphere is extremely important in modeling of geophysical fluids and has been tackled using a variety of approaches. A class of popular approaches for tracer advection include ‘incremental remap’ or cell‐integrated semi‐Lagrangian‐type schemes. These schemes achieve high‐order accuracy without the need for multistage integration in time, are capable of large time steps, and tend to be more efficient than other high‐order transport schemes when applied to a large number of tracers over a single velocity field. In this paper, the simplified flux‐form implementation of the Conservative Semi‐LAgrangian Multi‐tracer scheme (CSLAM) is reformulated using quadratic curves to approximate the upstream flux volumes and Gaussian quadrature for integrating the edge flux. The high‐order treatment of edge fluxes is motivated because of poor accuracy of the CSLAM scheme in the presence of strong nonlinear shear, such as one might observe in the midlatitudes near an atmospheric jet. Without the quadratic treatment of upstream edges, we observe at most second‐order accuracy under convergence of grid resolution, which is returned to third‐order accuracy under the improved treatment. A shallow‐water barotropic instability also reveals clear evidence of grid imprinting without the quadratic correction. Consequently, these tests reveal a problem that might arise in tracer transport near nonlinearly sheared regions of the real atmosphere, particularly near cubed‐sphere panel edges. Although CSLAM is used as the foundation for this analysis, the conclusions of this paper are applicable to the general class of incremental remap schemes. Copyright © 2012 John Wiley & Sons, Ltd.     

Thermodynamics and Hydrodynamics (Statistical Foundations): 4. Kinetic Processes in Multicomponent Systems

We use the BBGKY hierarchy and the mass, momentum, and intrinsic energy conservation laws, which are consequences of this hierarchy, to obtain the hydrodynamic equations for multicomponent systems and the diffusion equations. We formulate several restrictions on the thermodynamic equations for irreversible processes.     

Small-angle scattering of polarized light. IV. Isotropic to birefringent transition for spheres

The Rayleigh-Gans-Debye approximation is used to investigate the small-angle, cross-polarized light scattering by a sphere of radius a, birefringence Δμ and relative index μ. If θ_max is the polar scattering angle of the intensity maxima, the quantity Û_max = 4πa/λ × sin (θ_max/2) behaves in two different ways according to the signs of Δμ and μ ? 1. When Δμ > 0, μ > 1 or Δμ < 0, μ < 1, then Û_max varies from 2.8 to 4.1 as Δμ increases from zero. If Δμ < 0, μ > 1 or Δμ > 0, μ < 1, then Û_max goes from 2.8 to about 6, thereafter decreasing to 4.1. Another interesting result is that the value of Û_max for a highly briefringent sphere is 4.1 only for large diameters. It decreases to 4.0 when the diameter decreases.     

铝靶激光反射率的动态研究

本文分析了强激光作用下铝合金靶表面反射率的时间变化规律。利用转镜调Ｑ钕玻璃激光器和积分球装置对铝ＬＹ１２的表面激光反射率动态变化规律进行了测量，得到了功率密度在１０￣６～１０￣９Ｗ／ｃｍ￣２范围内的相应结果。同时，从金属近自由电子模型－Ｄｒｕｄｅ理论出发，对金属铝的电导率与温度变化关系进行了数值模拟，亦得到了相应的反射率变化规律，实验结果与数值模拟结果基本符合。当激光功率密度更同时（１０￣１１～１０￣１５Ｗ／ｃｍ￣２），由等离子体模型和局部热力学平衡（ＬＴＥ）理论，得到了反射率随温度变化的数值模拟结果，与国外的实验结果符合得较好。     

β-SiC的电子结构和物态方程

 给出了用LMTO-ASA方法计算的共价晶体β-SiC的电子结构和物态方程。其压缩比σ＝1.0~2.5。我们在维格纳－赛兹原胞中放入两个空球来模拟原子球的密堆积效果。结果表明，对于开结构体系晶体物性的计算，本方法也是适用的。     

The fuzzy supersphere

We introduce the fuzzy supersphere as sequence of finite-dimensional, noncommutative ₂-graded algebras tending in a suitable limit to a dense subalgebra of the ₂-graded algebra of ^∞-functions on the (2|2)-dimensional supersphere. Noncommutative analogues of the body map (to the (fuzzy) sphere) and the super-deRham complex are introduced. In particular we reproduce the equality of the super-deRham cohomology of the supersphere and the ordinary deRham cohomology of its body on the “fuzzy level”.     

球面径纬线图的带宽

C_(mn)表球面上有m条径线与n条纬线构成的图,本文确定了Ci_m,i=1,2,3的宽带。