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Emergent order in hydrodynamic spin lattices

Abstract : Macroscale analogues(1-3) of microscopic spin systems offer direct insights into fundamental physical principles, thereby advancing our understanding of synchronization phenomena(4) and informing the design of novel classes of chiral metamaterials(5-7). Here we introduce hydrodynamic spin lattices (HSLs) of 'walking' droplets as a class of active spin systems with particle-wave coupling. HSLs reveal various non-equilibrium symmetry-breaking phenomena, including transitions from antiferromagnetic to ferromagnetic order that can be controlled by varying the lattice geometry and system rotation(8). Theoretical predictions based on a generalized Kuramoto model(4) derived from first principles rationalize our experimental observations, establishing HSLs as a versatile platform for exploring active phase oscillator dynamics. The tunability of HSLs suggests exciting directions for future research, from active spin-wave dynamics to hydrodynamic analogue computation and droplet-based topological insulators. A macroscopic analogue of a spin system is shown to emerge in an ensemble of droplets bouncing on the surface of a vibrating bath, revealing symmetry-breaking phenomena such as 'magnetic' ordering.
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https://hal.archives-ouvertes.fr/hal-03330801
Contributor : Laurent Jonchère Connect in order to contact the contributor
Submitted on : Monday, September 20, 2021 - 3:44:41 PM
Last modification on : Monday, September 20, 2021 - 3:44:45 PM

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Pedro J. Saenz, Giuseppe Pucci, Sam E. Turton, Alexis Goujon, Rodolfo R. Rosales, et al.. Emergent order in hydrodynamic spin lattices. Nature, Nature Publishing Group, 2021, 596 (7870), pp.58-62. ⟨10.1038/s41586-021-03682-1⟩. ⟨hal-03330801⟩

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