约瑟夫森效应的一种初等阐述

用初等方法导出了约瑟夫森公式，阐述了约瑟夫森效应及其简单应用．     

平面静电场的试探法和复变函数法

本文中给出了平面静电场的两种简捷解法，即试探法和复变函数法．     

从立方抛物线谈起(1)--余弦型振动,椭圆余弦型振动与双曲线型非周期运动

从立方抛物线的特性谈起 ,用较初浅的方法 ,借助于雅可比椭圆函数求椭圆方程的解来说明一大类一维保守系统的余弦振动、椭圆余弦型振动与双曲线型非周期运动 .并以杜芬振子、单摆、倒摆、转动圆环上的小环运动为典型实例作了详细讨论     

厚度不均对纳米多孔镀层发热极限及熔毁失效的影响

采用纳米多孔膜可以实现新型的具有极高热流密度的薄液膜沸腾相变传热。在薄液膜沸腾的基础研究中,通过在纳米多孔膜表面加工纳米级别厚度的铂镀层实现加热和测温。通过扫描电镜观察,发现实验样品残骸表面有“河流”状形貌形成,结合元素分析推断铂镀层局部发生热熔。本文对铂镀层进行简化并建立电网络模型,计算并分析了铂镀层局部厚度不均对整体发热极限及熔毁失效的影响。分析结果表明,镀层厚度的不均,将会使镀层在达到极限热流密度后,极易出现“河流”状熔毁,使镀层永久失效;而厚度更加均匀的铂镀层,有助于获得更高的极限热流密度。     

Raman scattering of high-temperature phase transition in KH2PO4

Raman scattering was applied to study the high-temperature phase transition (near 175°C) in KH₂PO₄. Drastic temperature-dependent changes were observed to take place in the normal modes of B₁ symmetry between 1000–3400 cm^?1. The disintegration of the dominant broad feature near 2500 cm^?1 when temperature rises beyond 150°C suggests that the alteration of the hydrogen-bond network is closely connected with this high-temperature phase transition.     

A new compound: Xyloketal H from mangrove fungus <Emphasis Type=Italic>Xylaria</Emphasis> sp. from the South China Sea coast

A new metabolite xyloketal H (1), was isolated from mangrove fungus Xylaria sp. (No.2508) obtained from the South China Sea. By spectroscopic analyses, primarily 2D NMR methods and X-ray diffraction experiments, its structure was elucidated. Published in Khimiya Prirodnykh Soedinenii, No. 1, pp. 5–6, January–February, 2008.     

A new class of penalized NCP-functions and its properties

In this paper, we consider a class of penalized NCP-functions, which includes several existing well-known NCP-functions as special cases. The merit function induced by this class of NCP-functions is shown to have bounded level sets and provide error bounds under mild conditions. A derivative free algorithm is also proposed, its global convergence is proved and numerical performance compared with those based on some existing NCP-functions is reported.     

Nickel and potassium co-modified β-Mo2C catalyst for CO conversion

Nickel and potassium co-medified β-Mo2C catalysts were prepared and used for CO hydrogenation reaction. The major products over β-Mo2C were C1-C4 hydrocarbons, only few alcohols were obtained. Addition of potassium resulted in remarkable selectivity shift from hydrocarbons to alcohols at the expense of CO conversion over β-Mo2C. Moreover, it was found that potassium enhanced the ability of chain propagation with a higher C2+OH production. Modified by nickel, β-Mo-2C showed a relatively high CO conversion, however, the products were similar to those of pure β-Mo2C. When co-modified by nickel and potassium,β-Mo2C exhibited high activity and selectivity towards mixed alcohols synthesis, and also the whole chain propagation to produce alcohols especially for the stage of C1OH to C2OH was remarkably enhanced. It was concluded that the Ni and K had, to some extent, synergistic effect on CO conversion.     

A semi-algebraic approach for asymptotic stability analysis

This paper deals with the problem of computing Lyapunov functions for asymptotic stability analysis of autonomous polynomial systems of differential equations. We propose a new semi-algebraic approach by making advantage of the local property of the Lyapunov function as well as its derivative. This is done by first constructing a semi-algebraic system and then solving this semi-algebraic system in an adaptive way. Experiment results show that our semi-algebraic approach is more efficient in practice, especially for low-order systems.