Special Issue for the Chinese Chemical Society＇s 13th National Chemical Dynamics Symposium

Chemical kinetics and reaction dynamics, as a crucial branch of physical chemistry, mostly concerns with the ＂how, why and when＂ of chemical reactions, which is not only an exciting intellectual frontier but also addresses grand societal needs. These two aspects promote rapidly developing a series of experimental techniques, including ultrafast lasers, high resolution mass spectrometry and optical spectroscopy, and crossed molecular beam etc. Thanks to the rapid development of computer sci- ence, nowadays it is possible to calculate the reaction rates of complex reaction systems by advanced statistical kinetic theories based on accurate potential energy surfaces,     

金融发展、资本形成与区域效应差异——基于动态面板数据模型的经验分析

金融发展是促进资本形成以及经济增长的重要因素,中国金融体系的形成和发展对于我国资本形成究竟产生怎样影响?采用系统广义矩估计(SYS-GMM)方法,依据我国30个省市1990年至2009年的面板数据,研究金融发展、资本形成与区域效应差异.结果表明,当期和不同滞后期的金融发展水平对于我国总体及东、中、西部地区的当期资本形成有正或负效应,且这种正负效应在不同区域间存在着明显的地区性差异.     

Application of DEM modified with enlarged particle model to simulation of bead motion in a bead mill

We applied the discrete element method （DEM） of simulation modified by an enlarged particle model to simulate bead motion in a large bead mill. The stainless-steel bead mill has inner diameter of 102 mm and mill length of 198 mm. The bead diameter and filling ratio were fixed respectively at 0.5 mm and 85%. The agitator rotational speed was changed from 1863 to 3261 rpm. The bead motion was monitored experimentally using a high-speed video camera through a transparent mill body. For the simulation, enlarged particle sizes were set as 3-6 mm in diameter. With the DEM modified by the enlarged particle model, the motion of enlarged particles in a mill was simulated.The velocity data of the simulated enlarged particles were compared with those obtained in the experiment. The simulated velocity of the enlarged particles depends on the virtual frictional coefficient in the DEM model. The optimized value of the virtual frictional coefficient can be determined by considering the accumulated mean value. Results show that the velocity of the enlarged particles simulated increases with an increase in the optimum virtual frictional coefficient, but the simulated velocity agrees well with that determined experimentally by optimizing the virtual frictional coefficient in the simulation. The computing time in the simulation decreases with increased particle size.     

空间直角坐标系下平面法向量的求法

1.平面法向量的＂内积＂求法 设平面α的法向量=（x,y,z）,在平面α内任找两个不共线的向量、b作为基底.根据⊥平面α,得·=0且·b=0,由此得到关于x,y,z的三元方程组,解此方程组时,先用其中一元表示另两元,再令该元为一恰当值,即可得到.例1设=（1,-2,3）,b=（-2,-1,2）是平面α的一组基底,求平面α的一法向量.     

非线性Black-Scholes模型下算术平均亚式期权定价问题

在非线性Black-Scholes模型下,研究了算术平均亚式期权定价问题.首先利用单参数摄动方法,将亚式期权适合的偏微分方程分解成一系列常系数抛物方程.其次通过计算这些常系数抛物型方程的解,给出了算术平均亚式期权的近似定价公式.最后分析了近似结论的误差估计,并通过数值算例验证了所得近似结论的合理性.     

古埃及利用湿沙建造金字塔

<正>沙子上的滑动对土木工程和地震动力学领域有重要影响。考古学家在公元前1800年古埃及省长杰胡提霍特普墓中的壁画(图中站在木撬前方的人正在向沙子中注水)中发现,把沙子弄湿对古埃及的建筑施工至关重要。荷兰阿姆斯特丹大学(University of Amsterdam)的波恩(Daniel Bonn)和同事做了细致的实验研究,发现     

基于傅立叶变换的SVJ模型的欧式期权定价

为了更加精确的计算期权价格,将结合随机波动和跳扩散模型(以下简称SVJ模型)以更好的描述期权标的资产价格过程,然而这样的价格过程无法得到概率密度函数的封闭形式,而只能得到包含特殊函数和无限求和的复杂的表达式.不过它们的特征函数都是封闭且是唯一的,因而可以通过它们的特征函数,并运用两种傅立叶变换的方法来求出期权价格.其中FFT算法计算的结果将与Monte Carlo模拟得出的结果进行比较,然后再将SVJ模型的计算结果和Black-Scholes模型进行比较.     

在LHC上寻找希格斯粒子

 大型强子对撞机(Large Hadron Collider,简称LHC)2010 年3 月开始运行,对撞能量为7TeV,这是设计能量14 TeV 的一半。瞬时亮度从10²⁷cm^-2s^-1迅速上升,2010 年底达到10³²cm^-2s^-1,2011 年底达到10³³cm^-2s^-1,积分亮度有5/fb, 超过原来的预期。LHC 进入出成果阶段。