Phase behavior and morphology of multicomponent liquid mixtures

Area of Science:

• Physical Chemistry
• Materials Science
• Soft Matter Physics

Background:

• Multicomponent liquid mixtures with more than three components are common in nature and industry but remain poorly understood.
• The intracellular fluid, with its phase-separated membraneless organelles, serves as a prime example of such complex systems.

Purpose of the Study:

• To investigate the equilibrium phase behavior and morphology of N-component liquid mixtures (N>3) using Flory-Huggins theory.
• To develop and apply a novel algorithm for constructing complete phase diagrams and analyzing kinetic properties.

Main Methods:

• Utilized Flory-Huggins theory for regular solutions to model thermodynamic properties.
• Developed a numerical convexification algorithm for phase diagram construction.
• Employed Cahn-Hilliard approach for kinetic simulations in three dimensions.
• Applied Principal Component Analysis (PCA) and K-means clustering for data analysis.

Main Results:

• Successfully simulated phase diagrams and coarsening behavior for 4- and 5-component mixtures.
• Identified complex morphologies, including "Russian doll" and Janus droplet structures.
• Demonstrated the ability to extract phase compositions and numbers using PCA and K-means clustering.

Conclusions:

• The developed computational framework enables the study of complex multicomponent systems.
• Insights into phase behavior and morphology can guide the design of materials with specific structures.
• This approach provides a pathway to reverse-engineer interaction parameters for desired outcomes.