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Geometrically protected reversibility in hydrodynamic Loschmidt-echo experiments.

Raphaël Jeanneret1, Denis Bartolo2

  • 1PMMH, CNRS UMR 7636, ESPCI ParisTech, Université Paris 6, Université Paris 7, 10, rue Vauquelin, Paris 75005, France.

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Periodically driven droplets in microfluidic emulsions self-organize, protecting their reversible dynamics. Structural order and reversibility are lost simultaneously above a critical shaking amplitude, indicating a phase transition.

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Area of Science:

  • Non-equilibrium statistical mechanics
  • Soft matter physics
  • Microfluidics

Background:

  • Many driven systems exhibit a transition from reversible to irreversible dynamics, irrespective of the specific components.
  • This collective self-organization lacks a clear structural signature.
  • Understanding this transition is crucial for controlling complex systems.

Purpose of the Study:

  • To investigate the structural signature of collective self-organization in periodically driven systems.
  • To demonstrate a microfluidic Loschmidt-echo experiment with interacting droplets.
  • To analyze the relationship between structural order, reversibility, and phase transitions.

Main Methods:

  • Utilizing periodically driven microfluidic emulsions with thousands of interacting droplets.
  • Employing a Loschmidt-echo experimental setup to probe dynamics.
  • Analyzing the system's behavior across varying shaking amplitudes.

Main Results:

  • Periodically driven microfluidic emulsions self-organize, exhibiting a clear structural signature that protects macroscopic reversibility.
  • Structural order and reversibility are lost simultaneously above a maximal shaking amplitude.
  • This loss occurs via a first-order non-equilibrium phase transition, explained by a memory-loss process.

Conclusions:

  • Collective self-organization in driven systems has a discernible structural basis.
  • A critical shaking amplitude triggers a phase transition leading to irreversibility.
  • Microfluidic echo experiments offer a robust method for tailoring colloidal self-assembly at scale.