Selective and collective actuation in active solids

Active solids consist of elastically coupled out-of-equilibrium units performing work 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 – 13 . They are central to autonomous processes, such as locomotion, self-oscillations and rectification, in biological systems 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21...

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Vydané v:	Nature physics Ročník 18; číslo 10; s. 1234 - 1239
Hlavní autori:	Baconnier, P., Shohat, D., López, C. Hernández, Coulais, C., Démery, V., Düring, G., Dauchot, O.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	London Nature Publishing Group UK 01.10.2022 Nature Publishing Group Nature Publishing Group [2005-....]
Predmet:	639/766/530/2803 639/766/530/2804 Actuation Atomic Autonomy Bifurcation theory Classical and Continuum Physics Complex Systems Condensed Matter Condensed Matter Physics Equilibrium Lattice vibration Locomotion Mathematical and Computational Physics Molecular Nodes Optical and Plasma Physics Physics Physics and Astronomy Simulation Soft Condensed Matter Solids Symmetry Theoretical
ISSN:	1745-2473, 1745-2481
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Abstract	Active solids consist of elastically coupled out-of-equilibrium units performing work 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 – 13 . They are central to autonomous processes, such as locomotion, self-oscillations and rectification, in biological systems 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 – 25 , designer materials 26 and robotics 27 , 28 , 29 , 30 – 31 . Yet, the feedback mechanism between elastic and active forces as well as the possible emergence of collective behaviours in a mechanically stable elastic solid remains elusive. Here we introduce a minimal realization of an active elastic solid in which we characterize the emergence of selective and collective actuation resulting from the interplay between activity and elasticity. Polar active agents exert forces on the nodes of a two-dimensional elastic lattice. The resulting displacement field nonlinearly reorients the active agents. For a large-enough coupling, a collective oscillation of the lattice nodes around their equilibrium position emerges. Only a few elastic modes are actuated and crucially, they are not necessarily the lowest energy ones. By combining experiments with the numerical and theoretical analyses of an agent’s model, we unveil the bifurcation scenario and selection mechanism by which the collective actuation takes place. Our findings may provide a new mechanism for oscillatory dynamics in biological systems 14 , 19 , 21 , 24 and the opportunity for bona fide autonomy in metamaterials 32 , 33 . In active solids, work is performed by elastically coupled units. By studying a minimal experimental model of an active solid, actuation mechanisms resulting in a collectively oscillating displacement field that drives work cycles are now identified.
AbstractList	Active solids consist of elastically coupled out-of-equilibrium units performing work 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 – 13 . They are central to autonomous processes, such as locomotion, self-oscillations and rectification, in biological systems 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 – 25 , designer materials 26 and robotics 27 , 28 , 29 , 30 – 31 . Yet, the feedback mechanism between elastic and active forces as well as the possible emergence of collective behaviours in a mechanically stable elastic solid remains elusive. Here we introduce a minimal realization of an active elastic solid in which we characterize the emergence of selective and collective actuation resulting from the interplay between activity and elasticity. Polar active agents exert forces on the nodes of a two-dimensional elastic lattice. The resulting displacement field nonlinearly reorients the active agents. For a large-enough coupling, a collective oscillation of the lattice nodes around their equilibrium position emerges. Only a few elastic modes are actuated and crucially, they are not necessarily the lowest energy ones. By combining experiments with the numerical and theoretical analyses of an agent’s model, we unveil the bifurcation scenario and selection mechanism by which the collective actuation takes place. Our findings may provide a new mechanism for oscillatory dynamics in biological systems 14 , 19 , 21 , 24 and the opportunity for bona fide autonomy in metamaterials 32 , 33 . In active solids, work is performed by elastically coupled units. By studying a minimal experimental model of an active solid, actuation mechanisms resulting in a collectively oscillating displacement field that drives work cycles are now identified. Active solids consist of elastically coupled out-of-equilibrium units performing work1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12–13. They are central to autonomous processes, such as locomotion, self-oscillations and rectification, in biological systems14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24–25, designer materials26 and robotics27, 28, 29, 30–31. Yet, the feedback mechanism between elastic and active forces as well as the possible emergence of collective behaviours in a mechanically stable elastic solid remains elusive. Here we introduce a minimal realization of an active elastic solid in which we characterize the emergence of selective and collective actuation resulting from the interplay between activity and elasticity. Polar active agents exert forces on the nodes of a two-dimensional elastic lattice. The resulting displacement field nonlinearly reorients the active agents. For a large-enough coupling, a collective oscillation of the lattice nodes around their equilibrium position emerges. Only a few elastic modes are actuated and crucially, they are not necessarily the lowest energy ones. By combining experiments with the numerical and theoretical analyses of an agent’s model, we unveil the bifurcation scenario and selection mechanism by which the collective actuation takes place. Our findings may provide a new mechanism for oscillatory dynamics in biological systems14,19,21,24 and the opportunity for bona fide autonomy in metamaterials32,33.In active solids, work is performed by elastically coupled units. By studying a minimal experimental model of an active solid, actuation mechanisms resulting in a collectively oscillating displacement field that drives work cycles are now identified.
Author	Baconnier, P. Dauchot, O. Démery, V. López, C. Hernández Shohat, D. Düring, G. Coulais, C.
Author_xml	– sequence: 1 givenname: P. orcidid: 0000-0003-3526-7605 surname: Baconnier fullname: Baconnier, P. email: paul.baconnier@espci.fr organization: Gulliver UMR CNRS 7083, ESPCI Paris, Université PSL – sequence: 2 givenname: D. surname: Shohat fullname: Shohat, D. organization: Gulliver UMR CNRS 7083, ESPCI Paris, Université PSL, School of Physics and Astronomy, Tel Aviv University – sequence: 3 givenname: C. Hernández surname: López fullname: López, C. Hernández organization: Instituto de Física, Pontificia Universidad Católica de Chile, ANID—Millenium Nucleus of Soft Smart Mechanical Metamaterials – sequence: 4 givenname: C. orcidid: 0000-0002-3174-5836 surname: Coulais fullname: Coulais, C. organization: Van der Waals-Zeeman Institute, Institute of Physics, Universiteit van Amsterdam – sequence: 5 givenname: V. orcidid: 0000-0001-7546-0384 surname: Démery fullname: Démery, V. organization: Gulliver UMR CNRS 7083, ESPCI Paris, Université PSL, Univ Lyon, ENSL, CNRS, Laboratoire de Physique – sequence: 6 givenname: G. surname: Düring fullname: Düring, G. organization: Instituto de Física, Pontificia Universidad Católica de Chile, ANID—Millenium Nucleus of Soft Smart Mechanical Metamaterials – sequence: 7 givenname: O. orcidid: 0000-0002-7039-5787 surname: Dauchot fullname: Dauchot, O. email: olivier.dauchot@espci.fr organization: Gulliver UMR CNRS 7083, ESPCI Paris, Université PSL
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Snippet	Active solids consist of elastically coupled out-of-equilibrium units performing work 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 – 13 . They are central... Active solids consist of elastically coupled out-of-equilibrium units performing work1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12–13. They are central to autonomous...
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SubjectTerms	639/766/530/2803 639/766/530/2804 Actuation Atomic Autonomy Bifurcation theory Classical and Continuum Physics Complex Systems Condensed Matter Condensed Matter Physics Equilibrium Lattice vibration Locomotion Mathematical and Computational Physics Molecular Nodes Optical and Plasma Physics Physics Physics and Astronomy Simulation Soft Condensed Matter Solids Symmetry Theoretical
Title	Selective and collective actuation in active solids
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