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Avalanche statistics during coarsening dynamics.

Francesca Pelusi1, Mauro Sbragaglia, Roberto Benzi

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This study investigates the coarsening dynamics of elastic biphasic systems. We found that avalanche statistics in these systems exhibit scaling laws similar to disordered materials under external loads.

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Area of Science:

  • Physics
  • Materials Science
  • Complex Systems

Background:

  • Investigating coarsening dynamics in elastic biphasic systems, which are typically out of equilibrium.
  • Understanding the interplay between domain rearrangement and elastic interactions in driving system evolution.
  • Characterizing intermittent bursts of activity and avalanche behavior.

Purpose of the Study:

  • To quantitatively characterize avalanche statistics (size, duration, inter-avalanche time) in a 2D elastic biphasic system.
  • To explore the scaling behavior of these statistics.
  • To compare the findings with phenomena observed in disordered materials.

Main Methods:

  • Numerical simulations of a 2D biphasic system with closely packed domains.
  • Analysis of domain coarsening, interface diffusion, and domain rearrangements.
  • Quantitative characterization of avalanche events and their statistical properties.

Main Results:

  • Avalanche statistics, including size, duration, and inter-avalanche time, were quantitatively characterized.
  • The system exhibits intermittent bursts of activity and avalanche behavior due to elastic interactions.
  • Quantitative indications of scaling laws were found in the avalanche statistics.

Conclusions:

  • The coarsening dynamics of elastic biphasic systems, driven internally, display avalanche statistics.
  • These statistics show remarkable similarities to scaling laws observed in disordered materials subjected to external loads.
  • This suggests universal principles governing energy dissipation and rearrangement in complex systems.