NUMERICAL-INTEGRATION OF THE LANGEVIN EQUATION - MONTE-CARLO SIMULATION
NUMERICAL-INTEGRATION OF THE LANGEVIN EQUATION - MONTE-CARLO SIMULATION
复制标题
DOI：
10.1016/0021-9991(80)90084-4
复制
发表时间：
1980-01-01
影响因子：
4.1
通讯作者：
BUCKHOLZ, H
中科院分区：
文献类型：
--
作者：
ERMAK, DL;BUCKHOLZ, H
导出了在外力作用下求解布朗粒子的朗之万运动方程的蒙特卡罗模拟技术。这些方法允许相当自由地选择时间步长，时间步长仅受外力变化率的限制。将此方法推广到在摩擦力项中加入记忆函数的广义朗之万方程。导出了与记忆函数形式无关的一般仿真技术。对于指数记忆函数，提出了一种占用较少存储空间的特殊方法。
Monte Carlo simulation techniques are derived for solving the ordinary Langevin equation of motion for a Brownian particle in the presence of an external force. These methods allow considerable freedom in selecting the size of the time step, which is restricted only by the rate of change in the external force. This approach is extended to the generalized Langevin equation which uses a memory function in the friction force term. General simulation techniques are derived which are independent of the form of the memory function. A special method requiring less storage space is presented for the case of the exponential memory function.