Walkers in a wave field with memory

Devauchelle, Olivier; Lajeunesse, É.; James, François; Josserand, Christophe; Lagrée, Pierre‐Yves

doi:10.5802/crmeca.29

Cited by 7 publications

(7 citation statements)

References 40 publications

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“…In this respect, gunwale bobbing is similar to the "walking" motion of a small drop bouncing on a vertically vibrated bath [1], a system that exhibits a striking analogy to Bohmian pilot wave quantum mechanics [2]. Here, we exploit this analogy by adapting recent theories of bouncing droplets [3,4] to treat the case of gunwale bobbing. In addition to solving an interesting nonlinear dynamics problem that connects canoeing with quantum mechanics, an understanding of gunwale bobbing may find practical application in the general science of water sports.…”

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confidence: 99%

“…Next, we discuss the additional waves generated by heaving and pitching motions. Here we follow an approach inspired by recent studies of bouncing droplets on liquid surfaces and their resultant wave-fields [3]. In particular, we assume that the effect of the oscillations (4)-( 5) is akin to the effect of a corresponding source term in a linear wave equation for the surface height h(x, y, t).…”

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confidence: 99%

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Gunwale bobbing

et al. 2022

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It has been shown experimentally that small droplets, bouncing on a vibrated liquid bath, can "walk" across the surface due to their interaction with their own wave-field. Gunwale bobbing is a life-size instance of this phenomena in which a person standing on the gunwales of a canoe propels it by pumping it into oscillation with the legs. The canoe moves forward by surfing the resulting wave-field. After an initial transient, the canoe achieves a cruising velocity which satisfies a balance between the thrust generated from pushing downwards into the surface gradients of the wave-field and the resistance due to a combination of profile drag and wave drag. By superposing the linear wave theories of for steady cruising and of Helmholtz for an oscillating source, we demonstrate that such a balance can be sustained. We calculate the optimal parameter values to achieve maximum canoe velocity. We compare our theoretical result to accelerometer data taken from an enthusiastic gunwale bobber. We discuss the similarities and differences between gunwale bobbing and hydrodynamic quantum analogues, and possible applications to competitive sports.

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Gunwale bobbing

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“…Complementary to this motivation, recent numerical, theoretical and experimental studies (39)(40)(41)(42)(43)(44)(45)(46) have shown that the memory of the walker lead to chaotic dynamics characterized by anomalous diffusion similar to the run and tumble observed in bacteria (47)(48)(49), with Marangonidriven drops (50) or particles in in silico superfluid (51). All these studies (39)(40)(41)(42)(43)(44)(45)(46) pointed out the key role of the wavememory field in the emergent statistical behavior. Here we rationalize the statistical behavior of this memory-endowed self-propelled particle upon a large increase of memory, in what we call the high memory regime.…”

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confidence: 95%

“…This unique feedback between the droplet motion and the wave field dynamics is at the core of a rich and fruitful stream of research mainly motivated by the tantalizing analogy with quantum systems (27)(28)(29)(30)(31)(32)(33)(34)(35)(36)(37)(38). Complementary to this motivation, recent numerical, theoretical and experimental studies (39)(40)(41)(42)(43)(44)(45)(46) have shown that the memory of the walker lead to chaotic dynamics characterized by anomalous diffusion similar to the run and tumble observed in bacteria (47)(48)(49), with Marangonidriven drops (50) or particles in in silico superfluid (51). All these studies (39)(40)(41)(42)(43)(44)(45)(46) pointed out the key role of the wavememory field in the emergent statistical behavior.…”

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Overload wave-memory induces amnesia of a self-propelled particle

Hubert,

Perrard,

Vandewalle

et al. 2021

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Information storage, for short memory, is a key element of autonomous, out-of-equilibrium dynamics, in particular in biological entities. In synthetic active matter, however, the implementation of internal memory in agents is often limited or even absent. As a consequence, most of the investigations in the field of active matter had no choice but to ignore the influence of memory on the dynamics of these systems. We take here the opportunity to explore this question by leveraging one of the very few experimental physical system in which memory can be described in terms of a single and most importantly tunable scalar quantity. Here we consider a particle propelled at a fluid interface by self-generated stationary waves. The amount of souvenirs stored in the wave-memory field can be tuned, allowing for a throughout investigation of the properties of this memorydriven dynamics. We show numerically and experimentally that the accumulation of information in the wave field induces the loss of long-range time correlations. The dynamics can then be described by a memory-less process. We rationalize the resulting statistical behavior by defining an effective temperature for the particle dynamics and by evidencing a minimization principle for the wave field. Bouncing droplets | Wave-memory dynamics| Non-Markovian | Memoryendowed active matter MH performed the simulations. SP performed the experiments. MH, SP, ML and NV wrote the article. NV and ML supervised the work.

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“…The system has triggered a flurry of thought-provoking experiments which were previously thought to be peculiar to the quantum world [2,3]. It has also shown complex dynamical behaviors such as memory-induced diffusion, and run and tumbling [17][18][19][20][21][22][23][24][25] where the degree of freedom in the wave field plays the role of a taylored thermal bath.…”

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Statistical self-organization of a gas of interacting walking drops in a confining potential

Adrien¹,

Labousse²

2022

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A drop bouncing on a vertically-vibrated surface may self-propel forward by Faraday waves and travels along a fluid interface. This system called walker forms a non-quantum wave-particle association at a macroscopic scale. The dynamics of one particle has triggered many investigations and has resulted in spectacular experimental results in the last decade. We investigate numerically the dynamics of a large number of walkers evolving on a unbounded fluid interface in a presence of a confining potential acting on the particles. We show that even if the individual trajectories are erratic the system presents well-defined ordered internal structure that remains invariant to many parameter variations. We rationalize such non-stationary self-organization thanks to the symmetry of the waves and show that oscillatory pair potentials form a wavy collective state of active matter.

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Walkers in a wave field with memory

Cited by 7 publications

References 40 publications

Gunwale bobbing

Gunwale bobbing

Overload wave-memory induces amnesia of a self-propelled particle

Statistical self-organization of a gas of interacting walking drops in a confining potential

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