| 热涨落对斜面落体运动的影响 |
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| 引用本文： | 欧阳文泽,金准智,邹宪武.热涨落对斜面落体运动的影响[J].武汉大学学报(理学版),2002,48(3):332-334. |
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| 作者姓名： | 欧阳文泽 金准智 邹宪武 |
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| 作者单位： | 武汉大学,物理科学与技术学院,湖北,武汉,430072 |
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| 基金项目： | 国家自然科学基金重点项目(19834070) |
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| 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主根成正比，并与取向参数有关。
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| 关 键 词： | 热涨落 斜面 落体运动 随机行走 |
| 文章编号： | 0253-9888(2002)03-0332-03 |
| 修稿时间： | 2001年11月12 |
Effect of Thermal Fluctuation on the Movement of a Falling Object on the Inclined Plane |
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| OUYANG Wen-ze,JIN Zhun-zhi,ZOU Xian-wu.Effect of Thermal Fluctuation on the Movement of a Falling Object on the Inclined Plane[J].JOurnal of Wuhan University:Natural Science Edition,2002,48(3):332-334. |
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| Authors: | OUYANG Wen-ze JIN Zhun-zhi ZOU Xian-wu |
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| Abstract: | 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. |
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| Keywords: | Monte Carlo method random walk thermal fluctuation? inclined plane |
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