Fractal particle trajectories in capillary waves: Imprint of wavelength

Adam E. Hansen, Elsebeth Schröder, Preben Alstrøm, Jacob Sparre Andersen, Mogens T. Levinsen

24 Citationer (Scopus)


We examine particle trajectories in capillary waves formed on a water surface subject to vertical vibrations. We focus on the role of a distinct length scale present in our experiment, namely, the wavelength λ of the surface waves. We observe non-Brownian particle trajectories with a fractal dimension D different from the random walk value D = 2. A crossover is observed from one anomalous behavior at length scales below λ, to another at larger length scales. Data collapse is shown to be feasible, and scaling functions characterizing the crossover are identified. Our results are compared to those obtained from observations of drifters in the upper ocean. The distinct length scale λ allows us to divide the particle trajectories into flights and traps. The distribution of flight times shows a power-law behavior with an exponent between 2.3 and 3.

TidsskriftPhysical Review Letters
Udgave nummer10
Sider (fra-til)1845-1848
Antal sider4
StatusUdgivet - 1997
Udgivet eksterntJa


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