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Random organization criticality with long-range hydrodynamic interactions.

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Driven soft athermal systems exhibit a reversible-irreversible transition. Including long-range interactions modifies critical properties, leading to a convex transition and vanishing fluctuations, unlike minimal models.

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Area of Science:

  • Soft Matter Physics
  • Statistical Mechanics
  • Complex Systems

Background:

  • Driven soft athermal systems can transition between arrested and active states.
  • Cyclically sheared suspensions provide a model system for studying these transitions.
  • Existing models like the random organization model (ROM) simplify particle interactions.

Purpose of the Study:

  • To investigate the impact of long-range hydrodynamic interactions on the reversible-irreversible transition in driven soft athermal systems.
  • To generalize the random organization model (ROM) by incorporating these interactions.
  • To understand how critical properties change with interaction range.

Main Methods:

  • Generalizing the random organization model (ROM) to include long-range interactions with power-law decay.
  • Analyzing critical properties as a function of the interaction decay exponent.
  • Employing a local mean-field model to rationalize the observed critical behavior.

Main Results:

  • Critical properties continuously depend on the decay exponent for exponents smaller than the space dimension.
  • Increasing interaction range leads to a convex transition (β > 1 ), vanishing fluctuations, and loss of hyperuniformity.
  • Diffusive motion induced by long-range interactions dominates for slowly decaying interactions.

Conclusions:

  • Long-range interactions significantly alter the critical behavior of driven soft athermal systems.
  • The generalized ROM provides a more realistic description by including hydrodynamic effects.
  • The transition's nature is sensitive to the range and nature of inter-particle forces.