Fractal trajectories and anomalous diffusion for chaotic particle motions in 2D turbulence
- 9 April 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 64 (15), 1733-1736
- https://doi.org/10.1103/physrevlett.64.1733
Abstract
We consider a simple, nonlinear Hamiltonian model for particle motions in two-dimensional turbulence in which the stream function power spectrum has the form (γ constant). We show that fluid particle trajectories, (1) while differentiable and chaotic at small scale, may be fractal space curves at larger scale, (2) undergo anomalous transport, and (3) have frequency spectra ∼ in fully stochastic limit, where we obtain α=α(γ), a scaling law. Anomalous diffusion is shown to arise partly as a result of the fractal nature of the particle trajectories.
Keywords
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