Abstract
We introduce a map which reproduces qualitatively many fundamental properties of the dynamics of heavy particles in fluid flows. These include a uniform rate of decrease of volume in phase space, a slow-manifold effective dynamics when the single parameter s (analogous of the Stokes number) approaches zero, the possibility of fold caustics in the “velocity field”, and a minimum, as a function of s, of the Lyapunov (Kaplan-Yorke) dimension of the attractor where particles accumulate.
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Vilela, R.D., de Oliveira, V.M. A map for heavy inertial particles in fluid flows. Eur. Phys. J. Spec. Top. 226, 2079–2088 (2017). https://doi.org/10.1140/epjst/e2017-70035-3
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DOI: https://doi.org/10.1140/epjst/e2017-70035-3