正弦力场下随机行走问题的理论分析与数值模拟

Theoretical analysis and numerical simulation of random walk under a sinusoidal force field

研究正弦力场下的随机行走问题,是解释系统对于简谐微扰的响应的关键。在基本的自由随机行走模型的基础上,通过合理假设简化扰动问题,提出了可解析求解的理论模型。另外,采用M onte Carlo方法模拟了正弦力场下随机行走问题,并得到与理论计算相近的结果。

It is crucial to study the random walk behavior under a sinusoidal force field for the explanation of the response of system under harmonic disturbances. Based on the fundamental model of random walk, a reasonable simplification of response model and solvable theoretical model were proposed. Furthermore, the simulation of this model was carried out by using the Monte Carlo method, and the results were very close to the theoretical ones.