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Updated: May 4, 2026

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
Particle-scale reversibility in athermal particulate media below jamming
Carl F Schreck1, Robert S Hoy2, Mark D Shattuck3
1Department of Mechanical Engineering & Materials Science, Yale University, New Haven, Connecticut 06520-8260, USA and Department of Physics, Yale University, New Haven, Connecticut 06520-8120, USA.
We simulated frictionless disks under shear, revealing three dynamics: point-reversible, loop-reversible, and irreversible. Loop-reversible states allow precise control over material properties.
Area of Science:
- Physics
- Materials Science
- Computational Science
Background:
- Understanding particle dynamics in dense systems is crucial for materials science.
- Athermal systems, lacking thermal fluctuations, exhibit unique collective behaviors.
Purpose of the Study:
- To investigate particle-scale reversible motion in repulsive, frictionless athermal disks.
- To classify steady-state dynamics based on packing fraction and shear strain amplitude.
Main Methods:
- Numerical simulations of cyclic quasistatic simple shear.
- Analysis of particle trajectories in 2D and 3D spatial dimensions.
Main Results:
- Identified three distinct steady-state dynamics: point-reversible, loop-reversible, and irreversible.
- Point-reversible states occur at low packing fraction (φ) and strain amplitude (γ(max)).
- Loop-reversible states involve complex trajectories but return particles to initial positions, enabling property control.
- Irreversible dynamics with self-diffusion observed at high φ and γ(max).
Conclusions:
- Cyclic shear reveals distinct reversible and irreversible dynamics in athermal disk systems.
- Loop-reversible dynamics offers a method for controlled preparation of material configurations.
- The study provides insights into the fundamental mechanics of granular materials and dense soft matter.
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