计算物理 ›› 1989, Vol. 6 ›› Issue (2): 241-247.

• 论文 • 上一篇    下一篇

Monte Carlo方法模拟Langevin方程中的时间步长问题

包景东, 许淑艳, 卓益忠   

  1. 中国原子能科学研究院, 北京
  • 收稿日期:1988-06-24 出版日期:1989-06-25 发布日期:1989-06-25

THE TIME STEP PROBLEM OF MONTE-CARLO SIMULATION FOR LANGEVIN EQUATION

Bao Jingdong, Xu Shuyan, Zhuo Yizhong   

  1. INstitute of Atomic Energy, P. O. Box 275(41), Beijing
  • Received:1988-06-24 Online:1989-06-25 Published:1989-06-25

摘要: 本文讨论了Langevin方程中的无规力在物理上应满足的统计规律,通过计算机产生高斯随机数用Monte-Carlo方法模拟了布朗粒子在谐振子势中的运动,研究了Langevin方程的解随时间步长的变化关系,为此类问题的数值计算提供了一条依据。

Abstract: In this paper, The statistical laws satisfied by the random force of the Langevin equation in physics are discussed.The Monte-Carlo method is used to simulate the motion of Browian particles in the ha ornic oscillator potential with a computer germinated the Gaussian random numbers.The variation of the solutions of the Langevin equation with time step is studied. A foundation of the numerical calculation for such a problem is provided.