Supersolid Phase in One-Dimensional Hard-Core Boson Hubbard Model with a Superlattice Potential

The ground state of the one-dimensional hard-core boson Hubbard model with a superlattice potential is studied by quantum Monte Carlo methods. We demonstrate that besides the CDW phase and the Mott insulator phase, the supersolid phase emerges due to the presence of the superlattice potential, which reflects the competition with the hopping term. We also study the densities of sublattices and have a clear idea about the distribution of the bosons on the lattice.     

Monte Carlo Simulation on Coordinated Movement of Kinesin and Dynein Motors

Kinesin and dynein are two important classes of molecular motors which are responsible for active organelle trafficking and cell division. They can work together to carry a cargo, moving along the microtubule in a coordinated way. We use Monte Carlo method to simulate the dynamics of this coordinated movement. Based on four essential assumptions, our simulations reproduce some features of the recent in vivo experiments. The fast moving speed of the cargo is simulated and the speed distribution is presented.     

薄膜生长的随机模型

利用Monte Carlo模型研究了薄膜生长初始阶段岛的形貌与基底温度之间的关系,同时还研究了它们与汽相粒子入射剩余能量之间的关系．模型中考虑了三种动力学过程：粒子入射、吸附粒子扩散和粒子脱附,与以前薄膜生长模型的不同之一在于把入射过程看作独立于其他过程,而扩散和脱附过程是相互关联的．结果表明随基底温度的升高,岛的形貌经历了一个从分散生长、分形生长到凝聚生长的变化过程．低温下随汽相粒子入射和剩余能量增加,岛的形貌也经历了同样的变化过程. 关键词：     

结构随机分析的Monte Carlo加权残值法

本文提出一种结构随机分析的Ｍｏｎｔｅ Ｃａｒｌｏ加权残值法。文中建立了这种方法的基本列式，并通过静力挠度、固有频率和屈曲荷载等算例，表明本文方法理论简捷，计算工程量少，精度较高，是随机结构数值分析的有效方法。     

光学照明系统设计中若干问题的研究

讨论了光学照明系统设计的各种计算方案 .认为基于蒙特卡洛方法的算法简单 ,适用范围广 ,运行效率高 ,对大范围光场分布可获得一致收敛结果 .数值模拟结果显示 ,对于计算小尺度光源系统在远距离照明的问题具有优势 .围绕 2 0 0 2年数模竞赛 A题 ,给出了若干结果 ,并根据问题的特点进行了分析 .同时讨论了在数值积分中对扩展光源 (线光源 )如何正确处理剖分 :向所有方向漫射的扩展光源符合光学中的朗伯定律 ,剖分时应予考虑 .     

BAYESIAN PREDICTION FOR THE TWO-PARAMETER EXPONENTIAL DISTRIBUTION BASED ON TYPE Ⅱ DOUBLY CENSORING

The two-parameter exponential distribution is proposed to be an underlying model, and prediction bounds for future observations are obtained by using Bayesian approach. Prediction intervals are derived for unobserved lifetimes in one-sample prediction and twosample prediction based on type Ⅱ doubly censored samples. A numerical example is given to illustrate the procedures,prediction intervals are investigated via Monte Carlo method,and the accuracy of prediction intervals is presented.     

蒙特卡洛法计算空间辐射制冷器耦合因子的研究

为了研究蒙特卡洛法计算空间辐射制冷器耦合因子 ,文中通过计算平面 W型空间辐射制冷器二级冷块耦合因子 ,介绍了计算流程 ,并以积分分布概率为基础研究了相关核心算法。计算结果表明 ,采用以积分分布概率为基础的核心算法 ,蒙特卡洛法替代传统耦合因子计算方法 ,具有计算结果精度高的优点 ,达到了实用要求     

Investigating Transmission Efficiency of Light Guide by Monte Carlo Simulation

A large area neutron detector to detect the energy of about 1 GeV neutron by time-of flight method will be installed at RIBLL II of CSR. To obtain good energy resolution, the time resolution of the detector is a crucial parameter. For this purpose, the transmission efficiency of the light guide to transport the photons from detec-tor unit to light sensitive detector has been investigated by Monte-Carlo simulation. Here, the simulations were done mainly with two types of the light guides, namely type A and type B as shown in Figs.1 and 2 respectively.     

A Novel Exact Fixed-node Quantum Monte Carlo Algorithm

In this paper we proposed a novel exact fixed-node quantum Monte Carlo (EFNQMC)algorithm,which is a self-optimizing and self-improving procedure,In contrast to the previous EFNQMC method,the trial function is optimized synchronistically in the diffusion procedure,but not before the beginning of EFNQMC computation.In order to optimize the trial function,the improved steepest descent technique is used,in which the step size is automatically adjustable.The procedure is quasi-Newton and converges super linearly.We also use a novel trial function,which has correct electron-electron and electron-nucleus cusp conditions.The novel EFNQMC algorithm and the novel trial function are employed to calculate the energies of 1^1A1 state of CH2,^1Ag state of C8 and the ground-states of H2,LiH,Li2,H2O,respectively.The test results show that both the novel algorithm and the trial function proposed in the present paper are very excellent.     

纳米粒子在自吸附半柔性高分子诱导下成有序的环形结构

采用动态蒙特卡洛方法研究了自吸附半柔性高分子及其自吸附半柔性高分子与纳米粒子组成的混合物的构象行为.自吸附半柔性高分子的构象行为的研究,结果显示通过自吸附参数和弯曲能使高分子从一个线团状构象转变成一个紧密螺绕环状构象.紧密螺绕环状构象的折叠过程分为三个阶段:(i)几个分立的螺绕环(ii)一个松散的螺绕环(iii)一个紧密螺绕环.自吸附半柔性高分子与纳米粒子组成的混合物的构象行为的研究,结果表明可以采用具有紧密螺绕环结构的高分子有效地调控纳米粒子的空间排列.另外观察到一个非常有趣的现象,纳米粒子排列成一个环形结构.