Non-reciprocity and multibody interactions in acoustically levitated particle systems: A three body problem

Fuente: arXiv
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Main Authors: Wu, Brady, Mao, Qinghao, VanSaders, Bryan, Jaeger, Heinrich M.
Format: Preprint
Published: 2025
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author Wu, Brady
Mao, Qinghao
VanSaders, Bryan
Jaeger, Heinrich M.
author_facet Wu, Brady
Mao, Qinghao
VanSaders, Bryan
Jaeger, Heinrich M.
contents In active fluids and active solids the constituents individually generate movement by each extracting energy from their environment or from their own source. Non-reciprocal interactions among these active constituents then enable novel collective behavior that often can be strikingly counterintuitive. However, non-reciprocity in these cases typically requires that the interacting bodies have different physical properties or it needs to be programmed explicitly into all pairwise interactions. Here we show that collective activity in a driven system can emerge spontaneously through multibody nonreciprocal forces, even if all bodies are individually non-active and have identical properties. We demonstrate this with as few as three identical spheres, acoustically levitated in air, which exhibit collective activity as they interact through non-pairwise forces: similar to the classic gravitational three-body problem, the interaction between two spheres depends sensitively on the relative position of the third sphere. Non-reciprocity arises naturally from both near-field sound scattering and microstreaming forces among the spheres. The underdamped dynamics in air furthermore make it possible to go beyond collective center-of-mass propulsion or rotation and observe internal, engine-like reconfigurations that follow limit cycles. These findings open up new possibilities for self-assembly, where now multibody interactions not only determine the resulting structure but also drive the spontaneously emerging dynamics.
format Preprint
id arxiv_https___arxiv_org_abs_2503_12327
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Non-reciprocity and multibody interactions in acoustically levitated particle systems: A three body problem
Wu, Brady
Mao, Qinghao
VanSaders, Bryan
Jaeger, Heinrich M.
Soft Condensed Matter
In active fluids and active solids the constituents individually generate movement by each extracting energy from their environment or from their own source. Non-reciprocal interactions among these active constituents then enable novel collective behavior that often can be strikingly counterintuitive. However, non-reciprocity in these cases typically requires that the interacting bodies have different physical properties or it needs to be programmed explicitly into all pairwise interactions. Here we show that collective activity in a driven system can emerge spontaneously through multibody nonreciprocal forces, even if all bodies are individually non-active and have identical properties. We demonstrate this with as few as three identical spheres, acoustically levitated in air, which exhibit collective activity as they interact through non-pairwise forces: similar to the classic gravitational three-body problem, the interaction between two spheres depends sensitively on the relative position of the third sphere. Non-reciprocity arises naturally from both near-field sound scattering and microstreaming forces among the spheres. The underdamped dynamics in air furthermore make it possible to go beyond collective center-of-mass propulsion or rotation and observe internal, engine-like reconfigurations that follow limit cycles. These findings open up new possibilities for self-assembly, where now multibody interactions not only determine the resulting structure but also drive the spontaneously emerging dynamics.
title Non-reciprocity and multibody interactions in acoustically levitated particle systems: A three body problem
topic Soft Condensed Matter
url https://arxiv.org/abs/2503.12327