热涨落对斜面落体运动的影响  

Effect of Thermal Fluctuation on the Movement of a Falling Object on the Inclined Plane

作　　者：欧阳文泽[1] 金准智[1] 邹宪武[1] 

机构地区：[1]武汉大学物理科学与技术学院,湖北武汉430072

出　　处：《武汉大学学报（理学版）》2002年第3期332-334,共3页Journal of Wuhan University:Natural Science Edition

基　　金：国家自然科学基金重点项目(19834070)

摘　　要：用蒙特卡洛方法,模拟并分析了在二维刚性斜面上粒子的随机行走.发现了在重力的作用下沿斜面作随机行走的粒子的平均平方位移随时间呈指数变化,引入一有效指数以研究有取向性的粒子的扩散运动.发现在不同时间(蒙特卡洛步)下粒子坐标在x轴(斜面横向)上投影呈Gauss分布,分布的半高宽与时间平方根成正比,并与取向参数有关.Random walks of particles on 2D inclined plane have been simulated and analysed using the Monte Carlo method. The particle walks randomly along the inclined plane in the gravitative field. It was found the mean square end-end distance varying with time t can be described by power law. We introduce a effective exponent to study the biased diffusion. The projection of the particle coordinate on x axis ( transverse direction of the inclined plane) appears to be the Gaussian distribution. The half-highness width of the Gaussian distribution is related to the square root of time, as well as related to the bias parameter.

关 键 词：蒙特卡洛方法 随机行走 热涨落 斜面 

分 类 号：O414.22[理学—理论物理]