High-density percolation: Exact solution on a Bethe lattice

A new percolation problem is posed where the sites on a lattice are randomly occupied but where only those occupied sites with at least a given numberm of occupied neighbors are included in the clusters. This problem, which has applications in magnetic and other systems, is solved exactly on a Bethe lattice. The classical percolation critical exponents=gg=1 are found. The percolation thresholds vary between the ordinary percolation thresholdp _c (m=1)=l/(z – 1) andp _c(m=z) =[l/(z – 1)]¹/(z–1). The cluster size distribution asymptotically decays exponentially withn, for largen, p p _c .Supported in part by National Science Foundation grant DMR78-10813.     

Origin of the Landau-Lifshitz hydrodynamic fluctuations in nonequilibrium systems and a new method for reducing the Boltzmann equation

The Landau-Lifshitz fluctuating fluxes in fluctuating hydrodynamics are derived from the deterministic Boltzmann equation with the aid of a reduction method developed by Fujisaka and Mori. Thus it is shown that the hydrodynamic fluctuations innonequilibrium systems are generated by the reduction of variables from the-space distribution function to its five momentum moments, i.e., the hydrodynamic variables. This differs from the Bixon-Zwanzig and Fox-Uhlenbeck theories, in which the Landau-Lifshitz fluctuating fluxes are derived from the molecular fluctuating force in thestochastic Boltzmann-Langevin equation, which is, however, negligible in nonequilibrium systems. Thus the present method improves the Chapman-Enskog reduction method so as to include the hydrodynamic fluctuations generated by the reduction of variables.Supported in part by the Scientific Research Fund of the Ministry of Education.     

Generalized nonlinear master equations for local fluctuations: Dimensionality expansions and augmented mean field theory

By application of a projection operator technique we derive a formally exact generalization of the nonlinear mean field master equation introduced recently for the study of local fluctuations in a reacting medium. Our starting point is a phenomenological cell master equation. The results of our theory are applicable to the theory of a fluctuating hydrodynamic reacting system. The mean field equation is placed on a firm theoretical foundation by showing it to be the lowest order approximation in an expansion in the dimensionality of the physical space keeping the product of the number of nearest neighbors (an increasing function of dimensionality) and the typical diffusion coefficient constant. A more accurate nonlinear master equation that allows for the correlation and fluctuations in the environment of a given volume element is derived in the form of an augmented mean field equation.Work supported in part by a grant from the National Science Foundation.     

高压烧结镀Cr、Ti膜金刚石/铜复合材料热导率研究

 采用磁控溅射方法,在金刚石表面镀覆活性金属Cr膜和Ti膜,在高温高压下合成了镀活性金属膜金刚石/铜复合材料。实验发现,活性金属的加入增强了金刚石与铜界面间的结合强度,减少了界面热阻,提高了复合材料的热导率。复合材料热导率随着金刚石体积分数的增加而降低,随着金刚石的粒度增大而提高。这主要是由界面热阻引起的,可以通过增大金刚石粒度和改善界面状态来提高复合材料热导率。     

电子束放射照相的特性与参数优化

短脉冲强激光产生的电子束具有源尺寸小、脉宽窄、准单能谱等特点, 在放射照相诊断中具有独特作用. 本文通过分析电子在材料中散射并采用蒙特卡罗方法数值模拟, 研究了100 keV到几百MeV能量电子束对有厚度起伏或存在界面的靶的透视, 并与质子、X射线束透视结果比较, 给出了电子束放射照相的特性与参数优化: 基于电子在材料中非弹性散射或能量损失, 选用能量使其射程与靶厚度接近的电子束来诊断靶厚度不均匀性; 基于电子在材料中的弹性散射, 选用射程超过靶厚度的电子束来诊断靶界面.     

江西宜黄中华秋沙鸭自然保护区鱼类资源初步调查

2012年7月,对江西宜黄中华秋沙鸭自然保护区的鱼类资源展开初步调查。结果显示,该保护区分布有鱼类4目7科25种,兴凯鱊、棒花鱼、鲫为优势种,且渔获量丰富、鱼类个体较小。同时分析了保护区面临的潜在威胁,并提出了相应的保护措施。更多还原     

一种嵌入式关系模型的形式化描述

在 Ｎ Ｒ／ Ｔ 网的基础上,对基于嵌入式关系模型的数据库信息系统的行为,给出了一种形式化的描述方法,并设计了一个变迁点火执行算法     

面向对象建模语言AML的设计与实现

ＡＭＬ语言吸取了Ａｄａ９５ 基本原理和思想,引进它的基本数据类型、语句等设施,对其作更高层次的抽象和扩充．用３ 种有相同名字不同类型的程序包从不同的侧面描述给定模块的模型,提高了系统的完整性和一致性;同时运用二级并发模型和限制设施,详述了系统的并发性和不确定性的描述问题．     

一类三阶非线性非自治系统解的有界性

本文利用一为三阶非线性自治系统的李雅夫函数,给出了一类三阶非线性非自治系统解有界的充分性准则,推广了文「１－２」的结果。     

二环戊二烯基钛(IV)配合物的合成及表征 Ⅰ———水杨酸和阿斯匹林茂钛配合物的合成及表征

选择具有抗菌、抗氧化或抗炎镇痛的药物———水杨酸(HLⅠ)、阿斯匹林(HLⅡ)与具有抗癌活性的二氯二茂钛(Cp2Ti Cl2)在非水介质中反应, 得到两种具有潜在药理活性的茂钛配合物 :Cp2Ti(LⅠ)2,Cp2Ti(LⅡ)2.经过元素分析、摩尔电导、核磁共振氢谱与碳谱、红外及紫外光谱等测试, 表明水杨酸、阿斯匹林均与二氯二茂钛形成含 Ti-O 键的单齿配位的羧酸二取代二茂钛配合物.