Simple one-dimensional lattice model for lipids in water

TL;DR

This paper introduces a simple one-dimensional lattice model for lipid-water mixtures, incorporating amphiphilic molecule orientations, analyzing its ground state and stability, and comparing it to colloidal self-assembly models.

Contribution

It presents a novel one-dimensional lattice model for lipids in water that includes molecular orientations and provides detailed stability analysis.

Findings

Ground state characterized in detail

Mean-field stability analysis performed

Comparison with colloidal self-assembly model

Abstract

A lattice model for binary mixture of lipids and water is introduced and investigated. The orientational degrees of freedom of the amphiphilic molecules are taken into account in the same way as in the model for oil-water-surfactant mixtures introduced earlier by Johan H\o ye and co-authors. The ground state of the model is discussed in detail, and the mean-field stability analysis of the disordered phase is performed. The model is compared to the recently introduced lattice model for colloidal self-assembly.