正弦力场下随机行走问题的理论分析与数值模拟

J4 ›› 2010, Vol. 45 ›› Issue (9): 74-78.

正弦力场下随机行走问题的理论分析与数值模拟

王耀

中国科学技术大学少年班学院, 安徽合肥 230026

收稿日期:2010-06-23 出版日期:2010-09-16 发布日期:2010-10-12
作者简介:王耀 (1991-), 男,中国科学技术大学少年班学院本科,研究方向为凝聚态物理模型及统计物理.Email:wy910414@126.com

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

WANG Yao

School for the Gifted Young, University of Science and Technology of China, Hefei 230026, Anhui, China

Received:2010-06-23 Online:2010-09-16 Published:2010-10-12

摘要/Abstract

摘要：

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Monte 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。

关键词: 正弦力场;随机行走;微元分析;数值模拟

Abstract:

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

Key words: sinusoidal force field; random walk; differential analysis; numerical simulation

王耀. 正弦力场下随机行走问题的理论分析与数值模拟[J]. J4, 2010, 45(9): 74-78.

WANG Yao. Theoretical analysis and numerical simulation of random walk under sinusoidal force field[J]. J4, 2010, 45(9): 74-78.

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