# Molecular Self-Organization of Three-Component Lipid Membranes

## TL;DR

This paper develops a theoretical framework using Landau free energy to analyze the phase behavior of three-component lipid membranes, revealing insights into molecular organization and phase separation.

## Contribution

It introduces a Landau-like energy functional and mean-field approach to model molecular interactions and phase diagrams in complex lipid membranes.

## Key findings

- Mapped out phase diagrams for membrane states
- Identified conditions for phase separation
- Provided a theoretical basis for membrane organization

## Abstract

By constructing a Landau-like energy functional, we investigate the molecular organization of a three-component mixture in cell membranes. In the strongly interacting limit, we model the interaction between molecules using pseudospin variables and convert them into non-interacting variables using a mean-field theory. Next, we construct the two-order parameter Landau-type energy functional through the Helmholtz free energy. By analyzing the Landau free energy, we map out the phase diagram focusing on homogeneous and various phase separated states on the cell membrane.