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Tuning collective actuation of active solids by optimizing activity localization.

Davi Lazzari1, Olivier Dauchot2, Carolina Brito1

  • 1Instituto de Física, Universidade Federal do Rio Grande do Sul, Caixa Postal 15051, CEP 91501-970, Porto Alegre, Rio Grande do Sul, Brazil. davi.lazzari@ufrgs.br.

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|October 21, 2024
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Summary
This summary is machine-generated.

Researchers explored how to control collective actuation in active solids by localizing activity to specific vibrational modes. An algorithm was developed to optimize this localization, showing promise for designing targeted actuation, especially in disordered systems.

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Area of Science:

  • Physics
  • Materials Science
  • Mechanical Engineering

Background:

  • Active solids, particularly elastic lattices with polar active units, display collective actuation when elasto-active feedback surpasses a critical threshold.
  • System dynamics condense onto a subset of vibrational modes, with selection rules governed by nonlinear dynamics, complicating targeted actuation design.

Purpose of the Study:

  • To numerically investigate how localizing activity to specific vibrational modes enables the selection of non-trivial collective actuation.
  • To develop and assess an algorithm for optimizing the localization of activity to achieve targeted energy distribution across modes.

Main Methods:

  • Numerical simulations using an agent-based model on triangular and disordered lattices.
  • Varying the concentration and localization of active agents on lattice nodes.
  • Introducing an algorithm to evolve activity localization for maximizing/minimizing energy distribution on targeted modes.

Main Results:

  • Both agent concentration and localization influence elastic energy distribution across modes.
  • The developed algorithm demonstrated effectiveness in optimizing activity localization for targeted actuation.
  • The algorithm outperformed manual trials in disordered lattices, while a well-informed guess was superior in ordered lattices.

Conclusions:

  • Localizing activity to specific modes is a viable strategy for controlling collective actuation in active solids.
  • The developed algorithm offers a pathway for designing specific actuation behaviors, particularly in complex, disordered materials.
  • A design principle based on mode susceptibility to activation along specific paths was proposed for ordered lattices.