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This study reveals how controlling a few components in complex mixtures can alter phase separation, crucial for understanding biological systems and intracellular compartmentalization.

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Area of Science:

  • Physics
  • Biophysics
  • Statistical Mechanics

Background:

  • Phase behavior of multi-component mixtures is critical for understanding biological systems, particularly intracellular compartmentalization.
  • Modeling complex biological mixtures requires accounting for interactions via parameters like second virial coefficients.
  • Previous models had restrictions on mixture composition, limiting applicability.

Purpose of the Study:

  • To investigate phase ordering instabilities in multi-component mixtures using a model with random second virial coefficients.
  • To develop a theoretical framework for predicting phase behavior in systems with arbitrary compositions.
  • To explore how controlling component concentrations influences phase separation dynamics.

Main Methods:

  • Utilized tools from free probability theory to analyze a paradigmatic model of multi-component mixtures.
  • Derived exact solutions for the spinodal curve and instability nature for arbitrary compositions.
  • Investigated the role of random second virial coefficients in mixture phase behavior.

Main Results:

  • Obtained exact spinodal curves and characterized instabilities for mixtures of any composition.
  • Demonstrated that controlling a few component concentrations can systematically alter spinodal instability.
  • Showed that strong composition imbalance amplification can induce demixing in realistic scenarios.
  • Identified a complex interplay between interaction complexity and entropic effects in non-uniform compositions.

Conclusions:

  • The developed theoretical approach accurately predicts phase behavior in complex mixtures.
  • Systematic control over component concentrations offers a pathway to tune phase separation.
  • Findings have implications for understanding intracellular compartmentalization and designing materials with specific phase behaviors.