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Consequences of anomalous diffusion in disordered systems under cyclic forcing.

Mitch Mailman1, Matt Harrington1, Michelle Girvan1

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This summary is machine-generated.

Granular materials exhibit anomalous diffusion under cyclic shear, with particle motion driven by cage fluctuations rather than cage rattling. This reveals a unique cage-breaking mechanism distinct from thermal systems.

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Area of Science:

  • Physics
  • Materials Science
  • Complex Systems

Background:

  • Understanding granular material behavior is crucial for various engineering applications.
  • Particle-scale dynamics govern macroscopic properties of granular systems.
  • Cyclic shear is a common method for probing granular material responses.

Purpose of the Study:

  • To investigate the particle-scale response of a 2D frictionless disk system subjected to cyclic shear.
  • To characterize the diffusion regimes and particle displacement mechanisms.
  • To differentiate the observed behavior from that of thermal systems.

Main Methods:

  • Simulating a 2D frictionless disk system.
  • Applying cyclic shear with varying reversal amplitude (γr).
  • Analyzing particle displacements and cage dynamics.

Main Results:

  • A subdiffusive regime dependent on γr was observed, consistent with anomalous diffusion models.
  • A crossover to diffusive grain motion occurred at high γr.
  • Particles were found to move due to cage fluctuations, not rattling within cages.

Conclusions:

  • The study reveals a distinct cage-breaking mechanism in granular systems under cyclic shear.
  • Particle motion is governed by collective cage dynamics, differing from thermal systems.
  • Findings contribute to models of anomalous diffusion and granular material mechanics.