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- W2063045957 abstract "A bouncing droplet on a vibrated bath can couple to the waves it generates, so that it becomes a propagative walker. Its propulsion at constant velocity means that a balance exists between the permanent input of energy provided by the vibration and the dissipation. Here we seek a simple theoretical description of the resulting non-Hamiltonian dynamics with a walker immersed in a harmonic potential well. We demonstrate that the interaction with the recently emitted waves can be modeled by a Rayleigh-type friction. The Rayleigh oscillator has well defined attractors. The convergence toward them and their stability is investigated through an energetic approach and a linear stability analysis. These theoretical results provide a description of the dynamics in excellent agreement with the experimental data. It is thus a basic framework for further investigations of wave-particle interactions when memory effects are included." @default.
- W2063045957 created "2016-06-24" @default.
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- W2063045957 date "2014-08-26" @default.
- W2063045957 modified "2023-10-17" @default.
- W2063045957 title "Non-Hamiltonian features of a classical pilot-wave dynamics" @default.
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- W2063045957 doi "https://doi.org/10.1103/physreve.90.022913" @default.
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