A complex for right-angled Coxeter groups

We associate to each right-angled Coxeter group a 2-dimensional complex. Using this complex, we show that if the presentation graph of the group is planar, then the group has a subgroup of finite index which is a 3-manifold group (that is, the group is virtually a 3-manifold group). We also give an example of a right-angled Coxeter group which is not virtually a 3-manifold group.

     

Tetraethylammonium chloride tetrahydrate,a ‘double channel’ host lattice constructed from (H2O)4Cl− tetrahedra linked between vertices

Crystals of (C₂H₅)₄NCl·4H₂O are orthorhombic, space groupCcca, witha=19.104(3),b=23.084(4),c=13.330(3) , andZ=16. The structure features an anionic host lattice constructed from the linkage of (H₂O)₄Cl^– tetrahedra by hydrogen bonds between vertices, generating two open linear channel systems which accommodate the ordered cations. FinalR _F =0.080 for 1516 observed MoK data measured at 22°C. Supplementary Data relating to this article are deposited with the British Library as Supplementary Publication No. SUP 82035 (12 pages)Dedicated to Professor G. A. Jeffrey     

Linear Scheme for Finite Element Solution of Nonlinear Parabolic-Elliptic Problems with Nonhomogeneous Dirichlet Boundary Condition

The computation of nonlinear quasistationary two-dimensional magnetic fields leads to a nonlinear second order parabolic-elliptic initial-boundary value problem. Such a problem with a nonhomogeneous Dirichlet boundary condition on a part ₁ of the boundary is studied in this paper. The problem is discretized in space by the finite element method with linear functions on triangular elements and in time by the implicit-explicit method (the left-hand side by the implicit Euler method and the right-hand side by the explicit Euler method). The scheme we get is linear. The strong convergence of the method is proved under the assumptions that the boundary is piecewise of class C³ and the initial condition belongs to L₂ only. Strong monotonicity and Lipschitz continuity of the form a(v,w) is not an assumption, but a property of this form following from its physical background.     

不确定二维多项式族的稳定性检验集合

不确定二维多项式族,包括多胞形二维多项式族,区间二维多项式族,钻石形二维多项式族,其鲁棒稳定性可由其棱边多项式的稳定性确定.如果二维多项式族的不确定参数较多,被检验棱边多项式的数目可能出现所谓组合爆炸问题.为解决这一问题,提出一检验集合,该集合根据棱边二维多项式的凸方向来构造,仅对属于该检验集合棱边二维多项式进行稳定性检验,从而大大地减少被检验的棱边二维多项式数目.给出一例来说明这种新方法的可行性.     

Notes on Application of WKB Method

The notes here presented are of the modifications introduced in the application of WKB method. The problems of two- and three-dimensional harmonic oscillator potential are revisited by WKB and the new formulation of quantization rule respectively. It is found that the energy spectrum of the radial harmonic oscillator, which is reproduced exactly by the standard WKB method with the Langer modification, is also reproduced exactly without the Langer modification via the new quantization rule approach. An alternative way to obtain the non-integral Maslov index for three-dimensional harmonic oscillator is proposed.     

Heat transfer correlation for boiling flows in small rectangular horizontal channels with low aspect ratios

In the present experimental study, a correlation is proposed to represent the heat transfer coefficients of the boiling flows through horizontal rectangular channels with low aspect ratios. The gap between the upper and the lower plates of each channel ranges from 0.4 to 2 mm while the channel width being fixed to 20 mm. Refrigerant 113 was used as the test fluid. The mass flux ranges from 50 to 200 kg/m² s and the channel walls were uniformly heated up to 15 kW/m². The quality range covers from 0.15 to 0.75 and the flow pattern appeared to be annular. The modified Lockhart–Martinelli correlation for the frictional pressure drop was confirmed to be within an accuracy of ±20%. The heat transfer coefficients increase with the mass flux and the local quality; however the effect of the heat flux appears to be minor. At the low mass flux condition, which is more likely to be with the smaller gap size, the heat transfer rate is primarily controlled by the liquid film thickness. A modified form of the enhancement factor F for the heat transfer coefficient in the range of Re_LF200 well correlates the experimental data within the deviation of ±20%. The Kandlikar's flow boiling correlation covers the higher mass flux range (Re_LF>200) with 10.7% mean deviation.     

二维各向异性弹性力学的Stroh公式及其推广

Stroh公式是解决各向异性弹性体二维变形的强有力的工具。该公式形式上简洁优美、应用上方便有力。它的推广形式也日益在混合边值问题、压电材料、非对称弯曲板、三维各向异性弹性体、稳态运动、多自由度系统振动等方面得到广泛应用。本文简要介绍Stroh公式及其推广形式的研究状况与进展。     

滑移流区内微环缝槽道中的层流流动与换热

本文针对微环缝槽道采用速度滑移和温度跳跃边界条件求解了不可压缩气体的Ｎ－Ｓ方程和能量方程,理论分析了微环缝槽道在单侧或双侧不同热流密度加热条件下的流动与层流换热特性,讨论了Ｋｎ数、内外径比对流动阻力及换热特性的影响。结果表明：滑移流区微环继通道内的流阻和Ｎｕｓｓｅｌｔ数明显低于连续流区;且随着Ｋｎ数的增加,流阻和Ｎｕｓｓｅｌｔ数均减小;但其随内外径比ｒ＊的变化趋势与连续流区相似。     

Fast intra-modal and inter-modal wavelength switching of a high-speed SG-DBR laser for dynamic wavelength routing

As the SG-DBR laser is among the most attractive sources for WDM and DWDM systems, it is important and necessary to investigate its wavelength switching characteristics. This behaviour will affect wavelength routing and the capability limits for channel re-allocation in future optical networks. This paper presents detailed experimental studies on a high-speed SG-DBR laser by using a Fabry–Perot Interferometer technique adapted for the non-continuous wave case. Measurements of fast intra-modal (i.e. cavity mode) and inter-modal (i.e. super-mode) wavelength switching and insights into the device's dynamic behaviour are obtained. Implications are given for transmitter design in dynamic wavelength routing and channel re-allocation.     

银纳米粒子自组织二维有序阵列

采用液液二相转移方法合成出颗粒直径为(4.18±0.5)nm的银纳米粒子溶胶,并用紫外可见光谱对所制得的银纳米粒子溶胶的单分散性和稳定性进行了研究.结果表明,所得到的溶胶相为稳定的、粒径分布窄的单分散体系.红外光谱的分析结果表明,稳定剂1壬基硫醇包缚在银纳米粒子表面.并且,通过自组织方法获得了二维有序的银纳米粒子阵列 关键词： 银纳米粒子 液液二相转移方法 自组织 二维有序阵列