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Related Experiment Videos

Phase separation in a chaotic flow.

L Berthier1, J L Barrat, J Kurchan

  • 1Département de Physique des Matériaux, Université C. Bernard and CNRS, Villeurbanne, France.

Physical Review Letters
|April 6, 2001
PubMed
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Lagrangian chaos in fluid dynamics limits domain growth during liquid phase separation. Unequal liquid volumes result in an exponential droplet size distribution due to chaotic mixing.

Area of Science:

  • Fluid dynamics
  • Complex systems
  • Statistical mechanics

Background:

  • Phase separation is a fundamental process in materials science and fluid dynamics.
  • Spinodal decomposition describes the early stage of phase separation.
  • Lagrangian chaos describes chaotic particle trajectories in fluid flow.

Purpose of the Study:

  • To investigate the effect of Lagrangian chaos on the phase separation of immiscible liquids.
  • To analyze how chaotic advection influences spinodal decomposition.
  • To determine the relationship between chaotic mixing and domain growth.

Main Methods:

  • Numerical simulation of the Cahn-Hilliard equation for phase separation.
  • Analysis of bidimensional velocity fields with varying degrees of Lagrangian chaos.

Related Experiment Videos

  • Quantification of domain size distribution and growth rates.

    • Main Results:

    • Fully chaotic flow significantly limits the growth of separated liquid domains.
    • An exponential distribution of droplet sizes is observed for unequal liquid volume fractions in chaotic flows.
    • A balance between chaotic mixing (Lyapunov exponent) and spinodal decomposition (diffusivity) determines the limiting domain size.

    Conclusions:

    • Lagrangian chaos plays a crucial role in controlling phase separation dynamics.
    • Chaotic advection can lead to unique droplet size distributions.
    • The interplay between mixing and decomposition governs the final morphology of separated phases.