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Competition between Energy and Dynamics in Memory Formation.

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Summary
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This study explores dynamic hysterons, modeling memory in disordered materials. We found that forcing timescale and oscillations significantly impact system behavior, leading to path-dependent trapping rather than just local energy minima.

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Area of Science:

  • Physics
  • Materials Science
  • Complex Systems

Background:

  • Bistable systems are modeled as hysterons to understand memory in disordered materials.
  • Hysterons are typically analyzed under quasistatic conditions, neglecting dynamic effects.

Purpose of the Study:

  • To generalize hysterons by exploring dynamic effects in a tunable bistable spring system.
  • To investigate how system dynamics influence the choice of energy minima.

Main Methods:

  • Developed a generalized hysteron model using a tunable bistable spring system.
  • Investigated system behavior under varying forcing timescales and oscillatory forcing.

Main Results:

  • System dynamics, controlled by forcing timescale, dictate transitions between following local energy minima and path-dependent trapping.
  • Oscillatory forcing can induce long-lasting transients, a phenomenon absent in quasistatic hysterons.

Conclusions:

  • Dynamic effects are crucial for understanding hysteron behavior beyond quasistatic approximations.
  • The interplay of forcing timescale and oscillations introduces complex memory behaviors in bistable systems.