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Related Experiment Video

Updated: Oct 14, 2025

Phase Diagram Characterization Using Magnetic Beads as Liquid Carriers
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Phase Diagram Characterization Using Magnetic Beads as Liquid Carriers

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Phase separation in fluids with many interacting components.

Krishna Shrinivas1, Michael P Brenner2,3

  • 1NSF-Simons Center for Mathematical & Statistical Analysis of Biology, Harvard University, Cambridge, MA 02138; krishnashrinivas@g.harvard.edu.

Proceedings of the National Academy of Sciences of the United States of America
|November 2, 2021
PubMed
Summary
This summary is machine-generated.

This study models multi-component fluid mixtures, revealing staged phase separation and multiple coexisting phases. Random-matrix theory predicts phase behavior, showing dynamical limits on phase numbers, unlike equilibrium thermodynamics.

Keywords:
multicomponentmultiphasephase separationphase-field simulationrandom-matrix theory

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Area of Science:

  • Statistical Physics
  • Soft Matter Physics
  • Physical Chemistry

Background:

  • Natural systems, such as cellular cytoplasm, exhibit complex fluid mixtures with multiple coexisting phases enabling specific functions.
  • Understanding how interactions among numerous molecular species lead to emergent phase behavior is a significant challenge.

Purpose of the Study:

  • To develop a theoretical framework describing the emergent phase behavior of multi-component fluid mixtures with randomly distributed interactions.
  • To investigate the kinetics and steady-state characteristics of phase separation in these complex mixtures.

Main Methods:

  • Application of random-matrix theory and statistical physics principles.
  • Numerical simulations and stability analyses to study phase-separation kinetics and coexisting phases.
  • Design and validation of component-phase scaling relationships.

Main Results:

  • Demonstrated staged phase-separation kinetics and multiple coexisting phases with distinct compositions at steady state.
  • Random-matrix theory accurately predicts the number of coexisting phases, revealing a dynamical upper bound lower than the Gibbs phase rule limit.
  • Non-equilibrium component turnover through chemical reactions can tune the number of coexisting phases.

Conclusions:

  • The study provides a robust model for emergent dynamical and steady-state phase behavior in complex liquid-like mixtures.
  • Highlights the importance of dynamical constraints in determining phase behavior, complementing equilibrium thermodynamic predictions.
  • Suggests potential for controlling phase complexity in multi-component systems via non-equilibrium processes.