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Wave-packet spreading in disordered soft architected structures.

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This summary is machine-generated.

We investigated chaotic dynamics in disordered mechanical lattices with coupled wave motions. Nonlinear coupling drives wave-packet spreading and persistent chaos, offering new ways to control energy transport.

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Area of Science:

  • Nonlinear dynamics
  • Condensed matter physics
  • Wave propagation

Background:

  • Studying disordered mechanical lattices with multiple degrees-of-freedom (DoFs) is crucial for understanding complex wave phenomena.
  • Recent experiments highlight the importance of nonlinearities and DoF coupling in such systems.
  • Existing models often simplify lattices to single DoFs, limiting their applicability.

Purpose of the Study:

  • To analyze the dynamical and chaotic behavior of a disordered 1D elastic mechanical lattice with coupled translational and rotational waves.
  • To investigate the influence of nonlinearities and disorder on wave-packet spreading and energy transport.
  • To explore the potential of such lattices as platforms for controlling energy transfer in heterogeneous media.

Main Methods:

  • Developing a theoretical model for a 1D elastic lattice with two DoFs per site and strong geometrical nonlinearities.
  • Simulating wave propagation using single-site initial excitations on the rotational DoF to induce nonlinear coupling.
  • Quantifying chaotic behavior through the evolution of the finite-time maximum Lyapunov exponent.

Main Results:

  • Nonlinear coupling between translational and rotational DoFs induces rich wave-packet spreading in disordered lattices.
  • In the weakly nonlinear regime, energy spreading is driven by DoF coupling, unlike single-DoF Klein-Gordon lattices.
  • Strong nonlinearities lead to near-ballistic wave-packet behavior, and persistent chaos is observed, though its strength diminishes over time.

Conclusions:

  • Disordered, nonlinear lattices with multiple DoFs provide a versatile platform for studying energy transport.
  • The nonlinear coupling mechanism offers a novel approach to control energy spreading in complex media.
  • Findings contribute to understanding wave dynamics and energy localization in heterogeneous materials.