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PreprintCC BY 4.0arXiv

Emergent activity powers a path to chaos for pairs of acoustically trapped spheres

Abstract

Pairs of spheres sharing an acoustic trap sometimes spin intermittently despite having no self-propulsion, no obvious power source, and no symmetry-breaking mechanism, switching between rocking and spinning within a single trajectory. Nonreciprocal wave scattering powers this emergent activity, and drag shapes their dynamics by coupling rotations to translations. Mismatched pairs can pass through a supercritical Hopf bifurcation into a quasiperiodic torus on which the pair's orbit reverses regularly and, farther from equilibrium, into deterministic chaos. Experiments motivate this mechanism and share its qualitative signatures; simulations reveal a full noise-free route from passivity to chaos, and suggest how analogous dynamics can emerge in other active-matter systems.

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BibTeX
@misc{gronert2026emergent,
  title = {{Emergent activity powers a path to chaos for pairs of acoustically trapped spheres}},
  author = {Matthew K. Gronert and Ben Cao and Ella M. King and David G. Grier},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.37946},
  eprint = {2609.37946},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.37946},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Emergent activity powers a path to chaos for pairs of acoustically trapped spheres
AU  - Matthew K. Gronert
AU  - Ben Cao
AU  - Ella M. King
AU  - David G. Grier
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.37946
UR  - https://arxiv.org/abs/2609.37946
AB  - Pairs of spheres sharing an acoustic trap sometimes spin intermittently despite having no self-propulsion, no obvious power source, and no symmetry-breaking mechanism, switching between rocking and spinning within a single trajectory. Nonreciprocal wave scattering powers this emergent activity, and drag shapes their dynamics by coupling rotations to translations. Mismatched pairs can pass through a supercritical Hopf bifurcation into a quasiperiodic torus on which the pair's orbit reverses regularly and, farther from equilibrium, into deterministic chaos. Experiments motivate this mechanism and share its qualitative signatures; simulations reveal a full noise-free route from passivity to chaos, and suggest how analogous dynamics can emerge in other active-matter systems.
ER  -