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