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Area of Science:

  • Physical Chemistry
  • Soft Matter Physics
  • Fluid Dynamics

Background:

  • Understanding the time evolution of liquid mixtures is crucial for predicting their behavior.
  • Existing models for mixture dynamics, like model B, provide a foundation but require extensions for complex scenarios.

Purpose of the Study:

  • To derive an approximate expression for the mobility matrix in liquid mixtures.
  • To identify distinct mobility regimes (collective motion and interdiffusion) and their origins.
  • To analyze mixture dynamics after a thermal quench using a generalized Gaussian theory.

Main Methods:

  • Extending the established model B for liquid mixtures.
  • Grouping particles into artificial species ('colors') within a single-component fluid.
  • Developing a dimensionless parameter to characterize the mobility matrix.
  • Employing Gaussian theory and Monte Carlo simulations for analysis.

Main Results:

  • An approximate mobility matrix expression was derived, dependent on a single dimensionless parameter.
  • Two distinct mobility regimes, collective motion and interdiffusion, were identified and linked to microscopic properties.
  • Analytical results for two- and three-component systems showed good agreement with Monte Carlo simulations.
  • Observed rich dynamic behavior, including transient fractionation, after a thermal quench.

Conclusions:

  • The new model offers a simplified yet comprehensive approach to liquid mixture dynamics.
  • The identified mobility regimes provide a framework for understanding complex fluid behavior.
  • The findings are validated by simulations, suggesting broad applicability in physical chemistry and soft matter research.