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Botond Tyukodi1,2,3, Damien Vandembroucq1, Craig E Maloney2

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This study reveals distinct short-time and long-time particle diffusion behaviors in sheared amorphous materials. The short-time diffusion coefficient scaling resolves a long-standing puzzle in amorphous plasticity models.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Computational Physics

Background:

  • Amorphous materials exhibit complex plastic deformation under shear.
  • Understanding particle diffusion is crucial for modeling material behavior.
  • Discrepancies exist between particle-based and mesoscale models of amorphous plasticity.

Purpose of the Study:

  • To investigate tagged particle diffusion in a mesoscale lattice model of sheared amorphous materials.
  • To analyze the system-size dependence of diffusion coefficients in different time regimes.
  • To resolve discrepancies in diffusion coefficient scaling between simulation types.

Main Methods:

  • Utilized a mesoscale lattice model for sheared amorphous material under athermal quasistatic conditions.
  • Analyzed tagged particle diffusion across short and long time scales.
  • Examined the influence of interaction kernel details on diffusion behavior.

Main Results:

  • Identified two distinct diffusive regimes: short-time and long-time.
  • Short-time diffusion coefficient scales as D∼L^{1.05}, consistent with particle-based simulations.
  • Long-time diffusion coefficient scales as D∼L^{1.6}, aligning with previous mesoscale studies.
  • Interaction kernel details significantly impact long-time behavior, not short-time.

Conclusions:

  • The D∼L^{1.05} short-time scaling reconciles differences between particle-based and mesoscale models.
  • Mesoscale lattice models can accurately capture short-time diffusion dynamics.
  • Long-time diffusion is sensitive to interaction kernel specifics, potentially leading to MSD saturation.