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Dynamical turbulent flow on the Galton board with friction

A. D. Chepelianskii·D. L. Shepelyansky
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Abstract

We study numerically and analytically the dynamics of particles on the Galton board, a regular lattice of disc scatters, in the presence of a constant external force and friction. It is shown that under certain conditions friction leads to the appearance of a strange chaotic attractor in an initially conservative Hamiltonian system. In this regime the particle flow becomes turbulent and its average velocity depends in nontrivial manner on friction and other system parameters. We discuss the applications of these results to the transport properties of suspended particles in a laminar viscous flow streaming through scatters.

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A. D. Chepelianskii, D. L. Shepelyansky. 2001-01-01. Dynamical turbulent flow on the Galton board with friction. https://doi.org/10.1103/physrevlett.87.034101

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