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Multiperiodic orbits from interacting soft spots in cyclically sheared amorphous solids.

Nathan C Keim1,2, Joseph D Paulsen3,4

  • 1Department of Physics, Pennsylvania State University, University Park, PA 16802, USA. keim@psu.edu jdpaulse@syr.edu.

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|August 12, 2021
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Summary
This summary is machine-generated.

Cyclically deformed amorphous solids can exhibit particle motion periods that are multiples of the driving period. This study reveals that frustrated interactions among soft spots, or rearrangement zones, explain this multiperiodic behavior in jammed solids.

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Area of Science:

  • Physics of disordered materials
  • Soft matter physics
  • Statistical mechanics

Background:

  • Amorphous solids under cyclic deformation can reach steady states with repeating particle motion.
  • Simulations show particle motion periods can be multiples of the driving period, but the cause is unclear.
  • Mesoscopic displacement fields in jammed solids provide experimental motivation.

Purpose of the Study:

  • To explain the origin of multiperiodic behavior in deformed amorphous solids.
  • To propose a model for particle rearrangement in jammed systems.
  • To identify the role of frustrated interactions in multiperiodicity.

Main Methods:

  • Analysis of a simplified model of interacting soft spots.
  • Soft spots are modeled as two-level systems with hysteresis.
  • Investigation of the conditions leading to multiperiodic particle motion.

Main Results:

  • Multiperiodic behavior can emerge with three or more interacting soft spots.
  • Frustrated interactions are a necessary condition for this multiperiodicity.
  • The model elucidates the mechanism behind elusive frustrated interactions.

Conclusions:

  • Frustrated interactions among soft spots are key to understanding multiperiodic behavior in amorphous solids.
  • This work provides a framework for identifying frustration signatures in experiments.
  • The findings offer insights for designing systems with controlled multiperiodic responses.