高雷诺数气固湍流射流的直接数值模拟

本文对流动雷诺数 Re=5990的空间发展的气固两相湍流射流进行了直接数值模拟。其中对流场的求解采用具有四阶精度的紧致差分格式,对颗粒场的跟踪采用拉格朗日方法。结果表明,湍流拟序结构逐渐由对称模式发展到非对称模式;较小 Stokes 数的颗粒在流场中均匀分布,较大 Stokes 数的颗粒沿横向没有明显的扩散,而 Stokes 数为 1的量级的颗粒则大量聚集在大涡结构的外围。     

基于有限元法的光子并矢格林函数重整化及其在自发辐射率和能级移动研究中的应用

任意微纳结构中量子点的自发辐射率和能级移动均可用并矢格林函数表达.当源点和场点在同一位置时,格林函数的实部是发散的.为解决这一发散问题,可采用重整化格林函数方法.本文提出一种计算重整化格林函数和散射格林函数的方法.该方法利用有限元,计算点电偶极子的辐射场,将其在量子点体积内做平均得到重整化的并矢格林函数,减去均匀空间中解析的重整化格林函数,得到重整化的散射格林函数.在均匀空间情况下,本方法所得数值结果与解析解一致.将该方法应用到银纳米球系统,以解析的散射格林函数作为参考,结果表明该方法能准确处理散射格林函数的重整化问题.将该方法应用到表面等离激元纳米腔中,发现有极大的自发辐射增强和能级移动,且该结果不依赖于量子点的体积.这些研究在光与物质相互作用领域具有积极的意义.     

二维声子晶体带结构研究

声子晶体是近十年来提出的新课题，对声子晶体带结构的研究具有理论和应用价值。论文介绍了用平面波展开法计算二维正方点阵的固体／固体声子晶体带隙的方法，并应用于各向同性的铅柱体填充物以正方点阵排列于各向同性的环氧树脂基体中所形成的二维双组分复合体系。计算了柱体横截面是长方形时晶体的带隙，结果发现随着长方形截面的长宽比（l1／l2≥1时）的增加，带隙宽度逐渐减小，最后消失。     

Quantum correlation dynamics of three non-coupled two-level atoms in different reservoirs

Time evolution dynamics of three non-coupled two-level atoms independently interacting with their reservoirs is solved exactly by considering a damping Lorentzian spectral density.For three atoms initially prepared in Greenberger-Horne-Zeilinger-type state,quantum correlation dynamics in a Markovian reservoir is compared with that in a nonMarkovian reservoir.By increasing detuning quantity in the non-Markovian reservoir,three-atom correlation dynamics measured by negative eigenvalue presents a trapping phenomenon which provides long-time quantum entanglement.Then we compare the correlation dynamics of three atoms with that of two atoms,measured by quantum entanglement and quantum discord for an initial robuster-entangled type state.The result further confirms that quantum discord is indeed different from quantum entanglement in identifying quantum correlation of many bodies.     

Centrality and energy dependence of rapidity correlation patterns in relativistic heavy ion collisions

The centrality and energy dependence of rapidity correlation patterns are studied in Au+Au collisions by using AMPT with string melting,RQMD and UrQMD models.The behaviors of the shortrange correlation(SRC)and the long-range correlation(LRC)are presented clearly by two spatial-position dependent correlation patterns.For centrality dependence.UrQMD and RQMD give similar results as those in AMPT,i.,e., in most central collisions,the correlation structure is flatter and the correlation range is larger,which indicates a long range rapidity correlation.A long range rapidity correlation showing up in RQMD and UrQMD implies that patton interaction is not the only source of long range rapidity correlations.For energy dependence,AMPT with string melting and RQMD show quite different results.The correlation patterns in RQMD at low collision energies and those in AMPT at high collision energies have similar structures,i.e.aconvex curve.while the correlation patterns in RQMD at high collision energies and those in AMPT at low collision energies show fiat structures,having no position dependence.Long range rapidity correlation presents itself at high energy and disappears at low energy in RQMD,which also indicates that long range rapidity correlations may come from some trivial effects,rather than the parton interactions.     

骑行波的非线性演化方程

从能量的角度出发,采用Ｈａｍｉｌｔｏｎ描述交结合变分原理和摄动分析,并借助于符号运算导出了骑行在大波上的小波的Ｈａｍｉｔｏｎ密度函数和非线性动力学方程。这里的大流和小波是对波高而言的。在Ｈａｍｉｌｔｏｎ描述中,正则变量取为波高和速度势。本文导出了描述小波演化的二阶方程,在一阶近下的方程与Ｈｅｎｙｅｙ等人（１９８８）的结果一致。     

椭圆曲线y2=px（x2＋2）的正整数点

本文研究了椭圆曲线y2＝px(x2+2)的正整数点(x,y).通过改进四次Diophantine方程解数的上界,证明了:当p≠3时,该椭圆曲线至多有2组正整数点(x,y).     

广义Ramanujan-Nagell方程x~2+D~m=p~n的解数

设a是正整数,D=3a2+1,P=4a2+1,其中p是素数.本文证明了:如果a不是4的倍数,则除了当(D,p)=(4,5)时方程x2+Dm=pn恰有3组正整数解(x,m,n)=(1,1,1),(3,2,2),(11,1,3)以外,该方程恰有2组正整数解(x,m,n)=(a,1,1)和(8a3+3a,1,3).     

基于泊位偏好与岸桥干扰的泊位和岸桥分配

泊位和岸桥是集装箱港口资源中最紧缺的资源,合理的泊位分配和岸桥调度可以提高集装箱港口的资源利用率和港口的运作效率和效益。针对泊位偏离和岸桥工作损失两个因素,文章建立了集装箱港口泊位和岸桥的混合整数线性规划模型;运用采集自宁波某典型集装箱港口的数据,用Gurobi优化软件和两阶段启发式算法对模型进行了求解;对计算结果进行了经济性分析。计算结果表明:该港口的岸线资源利用率为46%时,1000m~1600m基本没被利用;18台岸桥要比16台岸桥的目标值更优,求解时间更短,而且18台岸桥的平均利用率为80%,为此,建议该港口再增加两台岸桥。同时发现:随着船舶规模的增加,Gurobi优化求解的时间增长较快,而两阶段启发式算法仍能在很短时间内求得准优解。     

多孔硅量子点中的电子局域态

经过激光辐照和高温退火加工能够生成多孔硅样品,在650—780 nm处检测到很强的光致荧光（PL）峰,并且有明显的钉扎和增强效应.实验表明,这种PL发光的强度与样品受辐照和退火的时间短密切相关.通过第一性原理模拟计算发现,样品表面用SiO 双键和Si—O—Si桥键钝化,能隙中会出现电子局域态.激光辐照和高温退火的时间长短决定了样品表面SiO双键和Si—O—Si桥键的密度,而该密度正是影响多孔硅量子点中电子局域态生成的关键. 关键词： 多孔硅量子点 硅氧钝化键 电子局域态