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Oscillatory sheared suspensions show a reversible-irreversible transition. This study reveals power-law distributed avalanches and changing avalanche structures with varying interaction ranges in sheared suspensions.

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Area of Science:

  • Soft Matter Physics
  • Complex Fluids
  • Phase Transitions

Background:

  • Oscillatory sheared suspensions exhibit a reversible-irreversible transition, a type of absorbing phase transition.
  • Previous studies focused on global quantities to characterize this transition.
  • Intermittent dynamics near the transition point have not been extensively studied.

Purpose of the Study:

  • To investigate intermittent dynamics and avalanche behavior near the absorbing phase transition in oscillatory sheared suspensions.
  • To explore the influence of long-range fluid-mediated interactions on avalanche statistics.
  • To analyze how varying interaction ranges affect the spatial structure of avalanches.

Main Methods:

  • Simulations using a modified Random Organization Model (ROM).
  • Inclusion of long-range interactions with a power-law decay exponent (α) as a control parameter.
  • Characterization of avalanche statistics (size, duration, particle involvement) and associated exponents.

Main Results:

  • The model exhibits power-law distributed avalanches at the absorbing phase transition.
  • Avalanche statistics are characterized by associated exponents.
  • Varying the exponent α leads to a transition from compact to sparse avalanches, crossing the space dimension.

Conclusions:

  • The study demonstrates power-law avalanche distributions in sheared suspensions near the reversible-irreversible transition.
  • Long-range interactions significantly alter avalanche spatial structure.
  • Clusters within avalanches are also power-law distributed.