Multi-stable free states of an active particle from a coherent memory dynamics

Abstract

We investigate the dynamics of a deterministic self-propelled particle endowed with coherent memory. We evidence experimentally and numerically that it exhibits several stable free states. The system is composed of a self-propelled drop bouncing on a vibrated liquid driven by the waves it emits at each bounce. This object possesses a propulsion memory resulting from the coherent interference of the waves accumulated along its path. We investigate here the transitory regime of the build-up of the dynamics which leads to velocity modulations. Experiments and numerical simulations enable us to explore unchartered areas of the phase space and reveal the existence of a self-sustained oscillatory regime. Finally, we show the co-existence of several free states. This feature emerges both from the spatio-temporal non-locality of this path memory dynamics as well as the wave nature of the driving mechanism.

References in corpus (14)

• Active Particles in Complex and Crowded Environments
• Collective motion
• Motility-Induced Phase Separation
• Emergence of macroscopic directed motion in populations of motile colloids
• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• Intermittent search strategies
• Collective Motion of Vibrated Polar Disks
• Path-memory induced quantization of classical orbits
• Brownian Particles far from Equilibrium
• Self-organization into quantized eigenstates of a classical wave driven particle
• Chaos driven by interfering memory
• Build-up of macroscopic eigenstates in a memory-based constrained system
• Transition to chaos in wave memory dynamics in a harmonic well : deterministic and noise-driven behaviour
• Self-propulsion and crossing statistics under random initial conditions

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