摘要
本文将以二维曲面为研究对象,建立正则曲面上布朗运动轨迹与测地线之间的联系,通过测地线的相关理论,实现曲面上的布朗运动数值计算。通过对布朗运动均方位移的计算验证爱因斯坦关系。
In this paper, the two-dimensional manifold surface is taken as the research object, and the relationship between the Brownian motion trajectory and the geodesic line on the regular surface is established. The theory of the geodesic is used to simulate the Brownian motion on the manifold. The Einstein relationship is verified by the calculation of the mean square displacement of the Brownian motion on the manifold.
出处
《科技创新导报》
2019年第14期14-14,18,共2页
Science and Technology Innovation Herald
关键词
布朗运动
二维曲面
测地线
数值计算
Brownian motion
Two-dimensional manifold surface
Geodesic
Numerical Simulation
