抄録
An experimental study of the motion of a marked particle on the vertically vibrated thin granular layer forming standing waves with square cells was made under atmospheric pressure. The trajectory of the test particle whose diameter D is larger than that of the medium d is characterized by a fractional Brownian motion, reflecting the advection due to wave motion. In the range of time τ shorter than about 10 times of the period of oscillation, the relation between the variance of particle displacements and time VD(τ ) ∝ τ2h is found, where the Holder exponent 2h changes slightly from 1.88 to 1.84 as D/d decreases from 12 to 6, while it decreases drastically toward 1 as D/d decreases from 4 to 1.A simple numerical model is proposed to simulate the irregular motion of the marked particle on thin vibrating granular layer, which qualitatively explains the experimental results.
