Origin of similarity of phase diagrams in amphiphilic and colloidal systems with competing interactions

TL;DR

This paper demonstrates that amphiphilic and colloidal systems with competing interactions share a common theoretical framework, the Landau-Brazovskii functional, derived through systematic coarse-graining, with criteria to predict segregation behaviors.

Contribution

It introduces a unified Landau-Brazovskii functional for describing amphiphilic and colloidal systems, with microscopic coefficient expressions and segregation criteria, advancing understanding of their phase diagram similarities.

Findings

Unified Landau-Brazovskii functional for different systems

Derived microscopic expressions for functional coefficients

Proposed criteria for macro- and microsegregation

Abstract

We show that amphiphilic and colloidal systems with competing interactions can be described by the same Landau-Brazovskii functional. The functional is obtained by a systematic coarse-graining procedure applied tosystems with isotropic interaction potentials. Microscopic expressions for the coefficients in the functional are derived. We propose simple criteria to distinguish the effective interparticle potentials that can lead to macro- or microsegregation. Our considerations concern also charged globular proteins in aqueous solutions and other system with effective short-range attraction long-range repulsion interactions.