Statistical analysis of particle drifts on Faraday waves

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© 1995 The Japan Society of Fluid Mechanics and IOP Publishing Ltd
, , Citation N Tokugawa et al 1995 Fluid Dyn. Res. 16 43 DOI 10.1016/0169-5983(94)00013-P

1873-7005/16/1/43

Abstract

Drift motion of particles floating on standing waves excited parametrically in a container (Faraday wave) was studied experimentally, and particle displacements and drift speeds were analyzed statistically. Particle trajectories were reproduced from video images. It is found that the mean square of the drift speed is described by approximate linear dependence on the squared driving amplitudes, and that the displacements follow a law of fractional Brownian motions. Persistent correlation of the particle displacements and velocity correlations in the longitudinal and transversal directions were also estimated. Drift motion tends to normal Brownian at larger driving amplitudes and larger separtion times.

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