轨道抽样法研究非马尔科夫热激活过程

计算物理 ›› 1992, Vol. 9 ›› Issue (3): 257-262.

轨道抽样法研究非马尔科夫热激活过程

包景东

北京气象学院, 北京 100081

收稿日期:1991-03-16 修回日期:1992-03-23 出版日期:1992-09-25 发布日期:1992-09-25

STUDY OF NON-MARKOVIAN THERMAL ACTIVATION PROCESS USING THE SAMPLING TRAJECTORIES METHOD

Bao Jingdong

Beijing Institute of Meteorology, Beijing 100081

Received:1991-03-16 Revised:1992-03-23 Online:1992-09-25 Published:1992-09-25

摘要/Abstract

摘要： 本文基于四维相空间拓展,提出了求解简谐有色噪声驱动下含记忆阻尼的非马尔科夫Langevin方程的轨道抽样——蒙特卡罗方法。计算了晶体缺陷翻越势垒的热激活过程的逃逸速率。为得到平稳的无规力关联函数,导出了以往忽视的有色噪声的初始分布。数值模拟结果较好地显示出理论所预期的随机共振现象。

关键词: 简谐有色噪声, 非马尔科夫Langevin方程, 逃逸速率, 轨道抽样——蒙特卡罗方法

Abstract: A sampling trajectories-Monte Carlo method for solving non-Markovian Langevin equation driven by harmonic colored noise and with memory-damped is presented based on increased of four-dimensional phase space. The activation rates for the case of impurity diffusion in the host crystalline solid are calculated. An initial distribution of colored noise overlooked in the past for getting stationary correlation of random force is derived. The stochastic resonance phenomenon by expressed theoretically is better shown.

Key words: harmonic colored noise, non-Markovian langevin equation, activation rate, sampling trajectories-Monte Carlo method

包景东. 轨道抽样法研究非马尔科夫热激活过程[J]. 计算物理, 1992, 9(3): 257-262.

Bao Jingdong. STUDY OF NON-MARKOVIAN THERMAL ACTIVATION PROCESS USING THE SAMPLING TRAJECTORIES METHOD[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 9(3): 257-262.