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Persistence exponents in a three-dimensional symmetric binary fluid mixture

Kendon1, Cates, Desplat

  • 1Department of Physics and Astronomy, JCMB King's Buildings, University of Edinburgh, Mayfield Road, Edinburgh EH9 3JZ, United Kingdom.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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We numerically investigated the persistence exponent in binary fluid systems. The "no-flip fraction" (N(F)) follows a power-law decay, with the exponent depending on the domain growth rate in hydrodynamic transport.

Area of Science:

  • Physics
  • Complex Systems
  • Fluid Dynamics

Background:

  • Coarsening dynamics in binary fluids are crucial for understanding phase separation.
  • The persistence exponent quantifies the memory of initial conditions during coarsening.
  • Hydrodynamic transport significantly influences the evolution of these systems.

Purpose of the Study:

  • To numerically determine the persistence exponent in binary fluid systems.
  • To analyze the impact of hydrodynamic transport on coarsening dynamics.
  • To investigate the relationship between the persistence exponent and domain growth rates.

Main Methods:

  • Numerical simulations of binary fluid systems.
  • Calculation of the persistence exponent (theta) using the no-flip fraction (N(F)).

Related Experiment Videos

  • Analysis of domain growth rates (alpha) in different hydrodynamic regimes.

    • Main Results:

    • The no-flip fraction (N(F)) exhibits a power-law decay, not exponential.
    • The persistence exponent (theta) ranges from 1.23±0.1 to 1.37±0.2.
    • Theta values are dependent on the domain growth rate (alpha), corresponding to inertial and viscous regimes.

    Conclusions:

    • Hydrodynamic transport dictates a power-law decay for the no-flip fraction.
    • The persistence exponent is sensitive to the specific hydrodynamic regime governing domain growth.
    • These findings provide quantitative insights into memory effects during coarsening in complex fluids.