Weak wave turbulence scaling theory for diffusion and relative diffusion in turbulent surface waves
Center for Chaos and Turbulence Studies, The Niels Bohr Institute
Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
Accepted: 26 February 2002
We examine the applicability of the weak wave turbulence theory in explaining experimental scaling results obtained for the diffusion and relative diffusion of particles moving on turbulent surface waves. For capillary waves our theoretical results are shown to be in good agreement with experimental results, where a distinct crossover in diffusive behavior is observed at the driving frequency. For gravity waves our results are discussed in the light of ocean wave studies.
PACS: 47.27.Qb – Turbulent diffusion / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 47.20.Dr – Surface-tension-driven instability
© EDP Sciences, 2002